mathematical intelligence junaid mubeen

Mathematical Intelligence - Junaid Mubeen

There''s so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords. But Junaid Mubeen isn''t ready to throw in the towel just yet. As far as he is concerned, we have the creative edge over machines, because of a remarkable system of thought that humans have developed over the millennia. It''s familiar to us all, but often badly taught in schools and misrepresented in popular discourse - maths. Computers are, of course, brilliant at totting up sums, pattern-seeking and performing mindless tasks of, well, computation. For all things calculation, machines reign supreme. But Junaid identifies seven areas of intelligence where humans can retain a crucial edge. And in exploring these areas, he opens up a fascinating world where we can develop our uniquely human mathematical superpowers.

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Think Like a Mathematician - Junaid Mubeen

When we learn about abstract mathematical concepts - from prime numbers and fractals to aspects of calculus - the most common question is often: when on earth will I need this? To many of us, so-called ''pure'' mathematics is downright baffling. Yet these concepts are what underpin the world we live in, from internet security to the transmission of radio waves. When you start to think like a mathematician, the secrets of technology and modern life suddenly make sense.Junaid Mubeen regards mathematics as a collection of thinking tools that can enrich the way we approach our everyday lives. In Think Like a Mathematician, he presents a catalogue of enlightening mathematical concepts. Some will be familiar from school, but the majority are ideas that readers will not have encountered before. And anyone - from mathematicians to self-proclaimed mathophobes - can learn from them. All of these ideas are easy to grasp, and a few may even reshape the way you see the world.

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Artificial Intelligence and Mathematical Methods in Pavement and Geomechanical Systems

The book covers a wide range of Artificial Intelligence (AI) and Mathematical Methods issues, research and applications in the area of pavement, geomechanical and few examples on geo-environmental systems: Application of Artificial Neural Networks; Data mining applications; Stochastic Finite Element; Fuzzy Set Theory; Artificial Immune Systems; Probabilistic Reasoning; System Identification Techniques; Image Processing. This collection of papers provides researchers and engineers with a current comprehensive look at available and emerging AI and Mathematical Methods within pavement and geomechanical systems.

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Transformations of Tradition - Junaid Quadri

Transformations of Tradition probes how the encounter with colonial modernity conditioned Islamic jurists'' conceptualizations of the shari''a. Departing from the tendency to focus on reformist-minded thinkers and politically charged issues, Junaid Quadri directs his attention towards the overlooked jurisprudential writings of Muhammad Bakhit al-Muti-i (1854-1935), Mufti of Egypt and a frequent critic of the famed reformists Muhammad ''Abduh and Rashid Rida. There, he locates a remarkable series of foundational intellectual shifts. Offering a fresh perspective on a pivotal period in the history of Islamic thought, Quadri tracks how Bakhit reworks the relationship of the shari''a to categories of understanding as fundamental as history and authority, science and technology, and religion and the secular, thereby upending the very ground upon which Islamic law had until then functioned. Through close readings of complex legal texts and mining of oft-neglected archives, this carefully researched study situates its argument in both the contested scholarly world of a quickly-changing Cairo, and the transregional school of Hanafi law as represented by jurists writing in Kazan, Lucknow, and Baghdad. Examining Islamic jurisprudential discourse in the colonial moment, Transformations of Tradition uncovers a shari''a that is neither a medieval holdover nor merely a pragmatic concession to the demands ... Unknown localization key: "more"

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Supporting Early Mathematical Development - Caroline McGrath

Supporting Early Mathematical Development is an essential text, combining theory and practice to enable successful mathematical education for children from birth to 12 years. This text considers how students, academics, parents and professionals can develop their mathematical thinking practice whilst acknowledging there will always be a road yet to travel; we will always be practising the craft of teaching mathematics. Charting the delivery of mathematical development in playgroups, children’s centres, nurseries and primary schools, the book promotes an effective pedagogy for mathematics.This new edition provides a conceptualisation of mathematics and places a fresh emphasis on mathematical literacy to empower children. New chapters include the following:¦ Mediators of Mathematical Thinking¦ Understanding Pattern, Pre-Algebraic and Algebraic Thinking¦ Naming, Renaming and Processing Numbers¦ Statistics, Statistical Diagrams and Probability¦ Measure¦ GeometryThroughout the book, Caroline McGrath navigates the complexity of teaching and learning mathematics, through careful thought and consideration of mediators of mathematical thinking. This supportive book is designed for educators who want to know how to reconstruct mathematical ideas with children and respond in the moment. Returning to the root of understanding, using the adaptive pedagogical style recommended in this text, you can create satisfying mathematical experiences for children.

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Learning and Teaching for Mathematical Literacy - Daniel Pead, Kaye Stacey, Hugh Burkhardt

Typically, most people don’t realize when and how they can use the mathematics they were taught in high school – yet many of the mathematical ideas and skills can be a powerful tool for understanding how the world works. Learning and Teaching for Mathematical Literacy addresses this situation, offering practical strategies for developing a broader vision of mathematical literacy in the classroom and recognising the importance of maintaining these skills into adult life. Linked to the material explored throughout this book, classroom activities and lesson materials are freely available for use via the QR codes included in each chapter.Filled with case studies and classroom activities, chapters tackle several topics:Describing a framework for a broader vision of mathematical literacy – what is it, and why is it important?Teaching mathematical literacy in the classroomApplying mathematical literacy to ‘real life’ scenarios: My dad is buying a new dishwasher. Should he buy the extended warranty on offer? My phone works fine but I''ve been offered an upgrade. How should I decide whether to take it?The role of technology in teaching mathematical literacyDesigning mathematical measures for real-word quantitiesFirmly grounded by practical applications for the classroom and beyond, this is an essential handbook for any teacher, ... Unknown localization key: "more"

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A Practical Approach to Advanced Mathematical Modelling in Civil Engineering - Hamid Bahai, Yurui Fan, Theodosios K. Papathanasiou, Mohammad Heida

A Practical Approach to Advanced Mathematical Modelling in Civil Engineering introduces advanced mathematical techniques and modelling concepts through real-world practical applications in key areas of Civil Engineering. It fills a crucial gap in the existing literature by using examples from structural analysis, coastal processes, and soil behaviour. The authors approach to teaching has been developed over years of experience and aims to engage readers by demonstrating the universal utility of mathematical methods in solving engineering challenges. The chapters are designed around engineering subject areas such as structural, transportation, and geotechnical engineering. A focus on engineering rather than mathematical concepts helps students of engineering to concentrate on real-world applications and prescribe available mathematical techniques to each, as well as being useful for expanding the knowledge of already practicing engineers. The appendix backs this learning up with basic engineering mathematics, providing a comprehensive resource for all levels from undergraduate and graduate engineering students. Those already familiar with the basics can turn to the appendix at a later date to revisit their knowledge.The book will also be accompanied by a companion website hosting downloadable ready-to-use computer programs and code addressing real-world engineering problems, designed in the popular programming environment MATLAB. For those who ... Unknown localization key: "more"

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Supporting Mathematical Development in the Early Years - Linda Pound

Review of the first edition“All the major areas of early childhood maths teaching and learning are covered in this powerful book… The book is also full of delightful stories… [It] would be eminently suitable for beginning and trainee teachers but would also be helpful to all those concerned in early years settings. All the relevant information is here, based on a wealth of knowledge and experience.” TESSupporting Mathematical Development in the Early Years provides practical guidance for parents, teachers and other early years workers who want to give children a good start in mathematical development. Showing how competent children are as mathematicians from an early age, the book offers an overview of young children’s mathematical behaviour at home and in early years settings. The book defines the content and the learning curriculum required to promote mathematical thinking, including an examination of the relationship between mathematics and language learning, and the role of other cross-curricular aspects such as information and communications technology (ICT). It explores the role of staff in observing, planning for and supporting children’s learning by using a variety of strategies, and makes suggestions for promoting effective partnerships between the parents or principal carers and early years staff. The ... Unknown localization key: "more"

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Professor Stewart's Casebook of Mathematical Mysteries - Professor Ian Stewart

Like its wildly popular predecessors Cabinet of Mathematical Curiosities and Hoard of Mathematical Treasures, Professor Stewart''s brand-new book is a miscellany of over 150 mathematical curios and conundrums, packed with trademark humour and numerous illustrations.In addition to the fascinating formulae and thrilling theorems familiar to Professor Stewart''s fans, the Casebook follows the adventures of the not-so-great detective Hemlock Soames and his sidekick Dr John Watsup (immortalised in the phrase ''Watsup, Doc?''). By a remarkable coincidence they live at 222B Baker Street, just across the road from their more illustrious neighbour who, for reasons known only to Dr Watsup, is never mentioned by name. A typical item is ''The Case of the Face-Down Aces'', a mathematical magic trick of quite devilish cunning...Ranging from one-liners to four-page investigations from the frontiers of mathematical research, the Casebook reveals Professor Stewart at his challenging and entertaining best.

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An Introduction to Mathematical Cryptography - Jeffrey Hoffstein, Joseph H. Silverman, Jill Pipher

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online.The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include:classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures;fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms;an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures ... Unknown localization key: "more"

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Mathematical Tasks - Chris McGrane, Mark McCourt

If we want our pupils to develop fluency, understanding and the ability to solve complex problems, then it is vital that teachers develop the ability to select, adapt and design appropriate mathematical tasks. In ''Mathematical Tasks: The Bridge Between Teaching and Learning'', Chris McGrane and Mark McCourt a range of practical approaches, strategies and principles behind the design and effective use of tasks in the mathematics classroom that lead to all pupils becoming successful learners. First-hand interviews with world class mathematics education experts and practicing teachers bring to life the ideas behind how tasks can act as a bridge between what the teacher wants the pupil to make sense of and what the pupil actually does makes sense of; tasks are how we enable pupils to enact mathematics - it is only by being mathematical that pupils can truly make connections across mathematical ideas and understand the bigger picture. This is a book for classroom teachers. Chris McGrane offers a range of practical examples for nurturing deep learning in mathematics that can be adapted and embedded in one''s own classroom practice. This is also a book for those who are interested in the theory behind tasks. Chris and his interviewees ... Unknown localization key: "more"

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Handbook Of Mathematical Science Communication

Mathematical science communication, as well as the field of science communication in general, has gained momentum over the last few decades. Mathematical science communication aims to inform the public about contemporary research, enhance factual and methodological knowledge, and foster a greater interest and support for the science of mathematics. This enables the public to apply it to their practical life, and to decision-making on a greater scale. These objectives are met in the various formats and media through which mathematical science communication is brought to the public.The first 13 chapters of the book consist of best-practice examples from the areas of informal math education, museums and exhibitions, and the arts. The final 5 chapters discuss the structural aspects of mathematical science communication and contribute to the basis for its theoretical framework.

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Optimal Mean Reversion Trading: Mathematical Analysis And Practical Applications - Cunxin Li, Tim Siu-tang Leung

Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications provides a systematic study to the practical problem of optimal trading in the presence of mean-reverting price dynamics. It is self-contained and organized in its presentation, and provides rigorous mathematical analysis as well as computational methods for trading ETFs, options, futures on commodities or volatility indices, and credit risk derivatives.This book offers a unique financial engineering approach that combines novel analytical methodologies and applications to a wide array of real-world examples. It extracts the mathematical problems from various trading approaches and scenarios, but also addresses the practical aspects of trading problems, such as model estimation, risk premium, risk constraints, and transaction costs. The explanations in the book are detailed enough to capture the interest of the curious student or researcher, and complete enough to give the necessary background material for further exploration into the subject and related literature.This book will be a useful tool for anyone interested in financial engineering, particularly algorithmic trading and commodity trading, and would like to understand the mathematically optimal strategies in different market environments.

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Introduction to Mathematical Statistics, Global Edition - Craig Allen, Robert Hogg, Joeseph McKean

For courses in mathematical statistics. Comprehensive coverage of mathematical statistics – with a proven approach Introduction to Mathematical Statistics by Hogg, McKean, and Craig enhances student comprehension and retention with numerous, illustrative examples and exercises. Classical statistical inference procedures in estimation and testing are explored extensively, and the text’s flexible organization makes it ideal for a range of mathematical statistics courses. Substantial changes to the 8th Edition – many based on user feedback – help students appreciate the connection between statistical theory and statistical practice, while other changes enhance the development and discussion of the statistical theory presented.

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A Beginner’s Guide to Mathematical Proof - Mark J. DeBonis

A BeginnerÂ’s Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics.The text is designed to be easily utilized by both instructor and student, with an accessible, step-by-step approach requiring minimal mathematical prerequisites. The book builds towards more complex ideas as it progresses, but never makes assumptions of the reader beyond the material already covered.FeaturesNo mathematical prerequisites beyond high school mathematicsSuitable for an Introduction to Proofs course for mathematics majors and other students of quantitative sciences, such as engineeringReplete with exercises and examples.

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Science By Simulation - Volume 1: A Mezze Of Mathematical Models - Andrew French

A Mezze of Mathematical Methods is Volume 1 of Science by Simulation. It is a recipe book of mathematical models that can be enlivened by the transmutation of equations into computer code. In this volume, the examples chosen are an eclectic mix of systems and stories rooted in common experience, rather than those normally associated with constrained courses on Physics, Chemistry or Biology which are taught in isolation and susceptible to going out of date in a few years. Rather than a ''what'' of Science, this book is aimed at the ''how'', readily applied to projects by students and professionals. Written in a friendly style based upon the author''s expertise in teaching and pedagogy, this mathematically rigorous book is designed for readers to follow arguments step-by-step with stand-alone chapters which can be read independently. This approach will provide a tangible and readily accessible context for the development of a wide range of interconnected mathematical ideas and computing methods that underpin the practice of Science.

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Our Mathematical Universe - Max Tegmark

In Our Mathematical Universe, Max Tegmark, one of the most original physicists at work today, leads us on an astonishing journey to explore the mysteries uncovered by cosmology and to discover the nature of realityPart-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale - from the sub-atomic to the intergalactic - showing how mathematics provides the answers to our questions about the world. Where do we come from? What makes the universe the way it is? In essence, why are we here? With dazzling clarity, Max Tegmark ponders these deep mysteries and allows us to grasp the most cutting-edge and mind-boggling theories of physics. What he proposes is an elegant and fascinating idea: that our physical world not only is described by mathematics, but that it is mathematics. ''Our Mathematical Universe is nothing if not impressive. Brilliantly argued and beautifully written, it is never less than thought-provoking about the greatest mysteries of our existence'' - New York Times ''An amazing ride through the rich landscape of contemporary cosmology... Physics could do with more characters like Tegmark... an imaginative intellect and a charismatic presence'' - ... Unknown localization key: "more"

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The Ultimate Mathematical Challenge - The UK Mathematics Trust

’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du SautoyHave you ever wanted to be a puzzle pro or logical luminary? Well, look no further!The perfect way to liven up your day, The Ultimate Mathematical Challenge has over 365 puzzles to test your wits and excite your mind. From starter puzzles to perplexing Olympiad problems designed to stretch even the strongest mathematicians, this book is the ideal forum to get your brain into gear and feed it with the challenges it craves.Specially curated from the UK Mathematics Trust’s catalogue of puzzles, most of these problems can be tackled using no more than a little numerical knowledge, logical thinking and native wit. Including interludes of crossnumber conundrums and shuttle challenges, space for your working out and a handy glossary for those obscure mathematical terms, this book has everything you need to solve captivating problems all year round.Do you have what it takes to conquer The Ultimate Mathematical Challenge?

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Military Intelligence Blunders - John Hughes-Wilson

'A cracking good read... I will recommend this book to anyone' - Professor Richard Holmes, CBE 'The Falklands, Yom Kippur, Tet and Pearl Harbor? Avoidable intelligence blunders or much worse? Altogether a compelling read from someone who knows the business' - Nigel WestThis book is a professional military-intelligence officer's - and controversial insider's - view of some of the greatest intelligence blunders of recent history. It includes the serious developments in government misuse of intelligence in the US-led coalition's 2003 war with Iraq, as well as failures of intelligence in Ukraine following Russia's invasion in February 2022. Colonel John Hughes-Wilson analyses not just the events that conspire to cause disaster, but why crucial intelligence is so often ignored, misunderstood or spun by politicians and seasoned generals alike. This book analyses: how Hitler's intelligence staff misled him in a bid to outfox their Nazi Party rivals; the bureaucratic bungling behind Pearl Harbor; how in-fighting within American intelligence ensured they were taken off guard by the Viet Cong's 1968 Tet Offensive; how overconfidence, political interference and deception facilitated Egypt and Syria's 1973 surprise attack on Israel; why a handful of marines and a London taxicab were all Britain had to defend the ... Unknown localization key: "more"

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AQA Mathematical Studies Student Book - June Haighton, Stan Dolan

Please note this title is suitable for any student studying:Exam Board: AQALevel/Subject: AQA Level 3 Certificate in Mathematical StudiesFirst teaching: September 2014First exams: June 2016Developed specifically for the new AQA Mathematical Studies qualification, AQA Mathematical Studies (Level 3 Certificate) Student Book builds students'' confidence and fluency in applying and extending their GCSE Maths knowledge to new and unfamiliar scenarios, and can also support the numerical demands of their other studies. The resource is linked to MyMaths, to offer students further valuable support.

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Artificial Intelligence For Dummies - John Paul Mueller, Luca Massaron, Stephanie Diamond

Dive into the intelligence that powers artificial intelligence Artificial intelligence is swiftly moving from a sci-fi future to a modern reality. This edition of Artificial Intelligence For Dummies keeps pace with the lighting-fast expansion of AI tools that are overhauling every corner of reality. This book demystifies how artificial intelligence systems operate, giving you a look at the inner workings of AI and explaining the important role of data in creating intelligence. You'll get a primer on using AI in everyday life, and you'll also get a glimpse into possible AI-driven futures. What's next for humanity in the age of AI? How will your job and your life change as AI continue to evolve? How can you take advantage of AI today to make your live easier? This jargon-free Dummies guide answers all your most pressing questions about the world of artificial intelligence. Learn the basics of AI hardware and software, and how intelligence is created from codeGet up to date with the latest AI trends and disruptions across industriesWrap your mind around what the AI revolution means for humanity, and for youDiscover tips on using generative AI ethically and effectively Artificial Intelligence For Dummies is the ideal starting point ... Unknown localization key: "more"

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Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction - Athanassios Fokas, Efthimios Kaxiras

Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an ''Application'' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of ''put'' and ''call'' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d''Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives ... Unknown localization key: "more"

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Mathematical Mindsets - Jo Boaler

Reverse mathematics trauma and find a universal blueprint for math success In Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching mathematics education expert and best-selling author Jo Boaler delivers a blueprint to banishing math anxiety and laying a foundation for mathematics success that anyone can build on. Perfect for students who have been convinced they are naturally "bad at math," the author offers a demonstration of how to turn self-doubt into self-confidence by relying on the "mindset" framework. Mathematical Mindsets is based on thousands of hours of in-depth study and research into the most effective—and ineffective—ways to teach math to young people. This new edition also includes: Brand-new research from the last five years that sheds brighter light on how to turn a fear of math into an enthusiastic desire to learnDeveloped ideas about ways to bring about equitable grouping in classroomsNew initiatives to bring 21st century mathematics to K-12 classrooms Mathematical Mindsets is ideal for K-12 math educators. It also belongs on the bookshelves of the parents interested in helping their K-12 children with their math education, as well as school administrators and educators-in-training.

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The Mathematical Radio - Paul J. Nahin

How a modern radio works, told through mathematics, history, and selected puzzlesThe modern radio is a wonder, and behind that magic is mathematics. In The Mathematical Radio, Paul Nahin explains how radios work, deploying mathematics and historical discussion, accompanied by a steady stream of intriguing puzzles for math buffs to ponder. Beginning with oscillators and circuits, then moving on to AM, FM, and single-sideband radio, Nahin focuses on the elegant mathematics underlying radio technology rather than the engineering. He explores and explains more than a century of key developments, placing them in historical and technological context.Nahin, a prolific author of books on math for the general reader, describes in fascinating detail the mathematical underpinnings of a technology we use daily. He explains and solves, for example, Maxwell’s equations for the electromagnetic field. Readers need only a familarity with advanced high school–level math to follow Nahin’s mathematical discussions. Writing with the nonengineer in mind, Nahin examines topics including impulses in time and frequency, spectrum shifting at the transmitter, the superheterodyne, the physics of single-sideband radio, and FM sidebands. Chapters end with “challenge problems” and an appendix offers solutions, partial answers, and hints. Readers will come away with a new appreciation for ... Unknown localization key: "more"

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A Brief History of Mathematical Thought - Luke Heaton

Mathematics is a product of human culture which has developed along with our attempts to comprehend the world around us. In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story.The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and ... Unknown localization key: "more"

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The Great Mathematical Problems - Professor Ian Stewart

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat''s Last Theorem or Goldbach''s Conjecture - they are the enigmas which define mathematics.The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries.Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

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Solving Mathematical Problems - Terence Tao

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.

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Mathematical Finance - Mark H. A. Davis

In recent years the finance industry has mushroomed to become an important part of modern economies, and many science and engineering graduates have joined the industry as quantitative analysts, with mathematical and computational skills that are needed to solve complex problems of asset valuation and risk management. An important parallel story exists of scientific endeavour. Between 1965-1995, insightful ideas in economics about asset valuation were turned into a mathematical ''theory of arbitrage'', an enterprise whose first achievement was the famous 1973 Black-Scholes formula, followed by extensive investigations using all the resources of modern analysis and probability. The growth of the finance industry proceeded hand-in-hand with these developments. Now new challenges arise to deal with the fallout from the 2008 financial crisis and to take advantage of new technology, which has revolutionized the practice of trading. This Very Short Introduction introduces readers with no previous background in this area to arbitrage theory and why it works the way it does. Illuminating pricing theory, Mark Davis explains its applications to interest rates, credit trading, fund management and risk management. He concludes with a survey of the most pressing issues in mathematical finance today.ABOUT THE SERIES: The Very Short Introductions series from Oxford ... Unknown localization key: "more"

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Mathematical Physics with Differential Equations - Yisong Yang

Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.

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A Mathematical Approach to Special Relativity - Ahmad Shariati

A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author’s experience teaching physics to students across all levels, the valuable resource introduces key concepts, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. Throughout, the book provides examples and useful "Guides to the Literature." This unique text emphasizes the experimental consequences and verifications of the underpinning theory in order to provide students with a solid foundation in this key area.

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Mathematical Legends - Tianxin Cai

This book is not only about the history of mathematics, but also by telling the story of some of the most distinctive personalities in the history of mathematics, it goes on to reveal the various strange treasures, bright flowers and hidden passions of the mathematical kingdom. Some of these mathematicians were thinkers, writers, poets, musicians, painters, politicians, judges, soldiers, clerks, young men of society or even prisoners. The mathematical world constructed by these geniuses is exquisite, and a walk in such a world not only expands our mathematical horizons and imagination, but also raises our humanistic cultivation to a higher level.Written for general audience, this book will be of interest to anyone who''s studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities. The readers will also enjoy reading the beautiful and simple language of all the articles and interviews.

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The Intelligence Intellectuals - Peter C. Grace

The untold story of how America's brightest academic minds revolutionized intelligence analysis at the CIAIn the early days of the Cold War, the United States faced a crisis in intelligence analysis. A series of intelligence failures in 1949 and 1950, including the failure to warn about the North Korean invasion of South Korea, made it clear that gut instinct and traditional practices were no longer sufficient for intelligence analysis in the nuclear age. The new director of the Central Intelligence Agency, Walter Bedell Smith, had a mandate to reform it. Based on new archival research in declassified documents and the participants' personal papers, The Intelligence Intellectuals reveals the neglected history of how America's brightest academic minds were recruited by the CIA to revolutionize intelligence analysis during this critical period. Peter C. Grace describes how the scientifically sound analysis methods that they introduced significantly helped the United States gain an advantage in the Cold War, and these new analysts legitimized the role of the recently created CIA in the national security community. Grace demonstrates how these professors—such as William Langer from Harvard, Sherman Kent from Yale, and Max Millikan from MIT—developed systematic approaches to intelligence analysis that shaped the CIA's methodology ... Unknown localization key: "more"

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On Intelligence - Colonel John Hughes-Wilson

This book is a professional military-intelligence officer''s and a controversial insider''s view of some of the greatest intelligence blunders of recent history. It includes the serious developments in government misuse of intelligence in the recent war with Iraq. Colonel John Hughes-Wilson analyses not just the events that conspire to cause disaster, but why crucial intelligence is so often ignored, misunderstood or spun by politicians and seasoned generals alike. This book analyses: how Hitler''s intelligence staff misled him in a bid to outfox their Nazi Party rivals; the bureaucratic bungling behind Pearl Harbor; how in-fighting within American intelligence ensured they were taken off guard by the Viet Cong''s 1968 Tet Offensive; how over confidence, political interference and deception facilitated Egypt and Syria''s 1973 surprise attack on Israel; why a handful of marines and a London taxicab were all Britain had to defend the Falklands; the mistaken intelligence that allowed Saddam Hussein to remain in power until the second Iraq War of 2003; the truth behind the US failure to run a terrorist warning system before the 9/11 WTC bombing; and how governments are increasingly pressurising intelligence agencies to ''spin'' the party-political line.

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Power of Emotional Intelligence - Molly Potter

We’ve all been told emotional intelligence is a good thing, but are we really clear about what it is and how we can all get more of it? We know it helps children self-regulate, be more motivated, maintain relationships and be more resilient, but how do we go about accessing these benefits?The Power of Emotional Intelligence will help primary school teachers and leaders to increase their awareness and use of emotional intelligence to improve the wellbeing of the whole school community. It includes everything you need to embed emotional intelligence at the core of your school’s ethos. This practical book:explores key issues relating to emotional intelligence to help develop adults’ understandingcontains a wealth of activities that can be used with children to help develop their emotional intelligence, with extra focus given to anger and anxiety, as well as the impact emotions can have on learning and relationshipscovers the beneficial impact of emotional intelligence when supporting challenging behaviouroutlines a straightforward emotional intelligence curriculum that ties into the personal, social, health and economic education (PSHE) schemes of work; andprovides ideas for developing a whole-school approach to putting emotional intelligence firmly on the agenda.This comprehensive resource has been written with teachers and school ... Unknown localization key: "more"

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British Naval Intelligence through the Twentieth Century - Andrew Boyd

When published in 2020 it offered the first comprehensive account of how intelligence influenced and sustained British naval power from the mid nineteenth century through to the end of the Cold War. The book describes why and how intelligence was collected and assesses its real impact on policy and operations. It confirms that naval intelligence was critical to Britain's survival and ultimate victory in the two World Wars but significantly reappraises its role, highlighting the importance of communications intelligence to an effective blockade in the First, and according Ultra less dominance compared to other sources in the Second. It reveals that coverage of Germany before 1914 and of the three Axis powers in the interwar period was more comprehensive and effective than previously suggested; and while British power declined rapidly after 1945, the book shows how intelligence helped the Royal Navy to remain a significant global force for the rest of the twentieth century, and in submarine warfare, especially in the second half of the Cold War. This compelling history of naval intelligence, now in a new and revised paperback edition, will appeal to a wide body of naval historians and enthusiasts interested in the crucial part it played on ... Unknown localization key: "more"

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Auna Intelligence Plug, bezdrátový inteligentní reproduktor, Alexa VoiceControl, ovládání hlasem

Rozbalte, zapojte, hotovo! Wi-Fi reproduktor Auna Intelligence Plug je inteligentní, prostorově úsporný a plně mobilní hudební společník do kuchyní, koupelen a jiných místností s elektrickou zásuvkou. Inteligentní reproduktor Auna Intelligence Plug je Vaše domácí inteligentní zařízení: Netřeba zde mačkat žádná tlačítka, protože Alexa VoiceControl umožňuje ovládání pomocí hlasových příkazů: Alexo, hraj hudbu! Zařízení Intelligence Plug může vytvářet prostřednictvím sítě WLAN kontakt k mnohým audio streamovým službám, které pak lze používat bez jakéhokoliv pohybu rukou: Amazon Music, Audible, Pandora, TuneIn, Spotify Connect atd. Za předpokladu odpovídajícího Amazon konta jsou dispozici samozřejmě i ostatní funkce služby Alexa Voice Service: nechte si připomenout termíny, poslouchejte svou oblíbenou hudbu, informujte se o počasí, nechte si zodpovědět otázky nebo se zabavte vtipy o Chucku Norrisovi - funkce Alexy neustále rostou a usnadňují každodenní život. Pomocí služby streamování TuneIn slouží Auna Inteligence Plug jako internetové rádio, které přijímá tisíce rozhlasových stanic z celého světa a stabilně a bez šumu je přehrává. Komu by to nestačilo, může využívat schopnosti inteligentního reproduktoru jako bluetooth přijímače a spárovat ho se svou databází hudby v smartphonu, tabletu nebo v MP3 přehrávači. A v neposlední řadě se dá inteligentní bezdrátový reproduktor používat v multiroom provozu, a tak vytvářet multiroom prostředí. Tímto ... Unknown localization key: "more"

Objev podobné jako Auna Intelligence Plug, bezdrátový inteligentní reproduktor, Alexa VoiceControl, ovládání hlasem

Auna Intelligence Plug, bezdrátový inteligentní reproduktor, Alexa VoiceControl, ovládání hlasem

Rozbalte, zapojte, hotovo! Wi-Fi reproduktor Auna Intelligence Plug je inteligentní, prostorově úsporný a plně mobilní hudební společník do kuchyní, koupelen a jiných místností s elektrickou zásuvkou. Inteligentní reproduktor Auna Intelligence Plug je Vaše domácí inteligentní zařízení: Netřeba zde mačkat žádná tlačítka, protože Alexa VoiceControl umožňuje ovládání pomocí hlasových příkazů: Alexo, hraj hudbu! Zařízení Intelligence Plug může vytvářet prostřednictvím sítě WLAN kontakt k mnohým audio streamovým službám, které pak lze používat bez jakéhokoliv pohybu rukou: Amazon Music, Audible, Pandora, TuneIn, Spotify Connect atd. Za předpokladu odpovídajícího Amazon konta jsou dispozici samozřejmě i ostatní funkce služby Alexa Voice Service: nechte si připomenout termíny, poslouchejte svou oblíbenou hudbu, informujte se o počasí, nechte si zodpovědět otázky nebo se zabavte vtipy o Chucku Norrisovi - funkce Alexy neustále rostou a usnadňují každodenní život. Pomocí služby streamování TuneIn slouží Auna Inteligence Plug jako internetové rádio, které přijímá tisíce rozhlasových stanic z celého světa a stabilně a bez šumu je přehrává. Komu by to nestačilo, může využívat schopnosti inteligentního reproduktoru jako bluetooth přijímače a spárovat ho se svou databází hudby v smartphonu, tabletu nebo v MP3 přehrávači. A v neposlední řadě se dá inteligentní bezdrátový reproduktor používat v multiroom provozu, a tak vytvářet multiroom prostředí. Tímto ... Unknown localization key: "more"

Objev podobné jako Auna Intelligence Plug, bezdrátový inteligentní reproduktor, Alexa VoiceControl, ovládání hlasem

Artificial Intelligence - Margaret A. Boden

The applications of Artificial Intelligence lie all around us; in our homes, schools and offices, in our cinemas, in art galleries and - not least - on the Internet. The results of Artificial Intelligence have been invaluable to biologists, psychologists, and linguists in helping to understand the processes of memory, learning, and language from a fresh angle.As a concept, Artificial Intelligence has fuelled and sharpened the philosophical debates concerning the nature of the mind, intelligence, and the uniqueness of human beings. In this Very Short Introduction , Margaret A. Boden reviews the philosophical and technological challenges raised by Artificial Intelligence, considering whether programs could ever be really intelligent, creative or even conscious, and shows how the pursuit of Artificial Intelligence has helped us to appreciate how human and animal minds are possible.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

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Understanding Intelligence - Ken Richardson

Have you ever wondered why psychologists still can''t agree on what intelligence is? Or felt dismayed by debates around individual differences? Criticising the pitfalls of IQ testing, this book explains the true nature of intelligent systems, and their evolution from cells to brains to culture and human minds. Understanding Intelligence debunks many of the myths and misunderstandings surrounding intelligence. It takes a new look at the nature of the environment and the development of ''talent'' and achievement. This brings fresh and radical implications for promoting intelligence and creativity, and prompts readers to reconsider their own possibilities and aspirations. Providing a broad context to the subject, the author also unmasks the ideological distortions of intelligence in racism and eugenics, and the suppressed expectations across social classes and genders. This book is a must-read for anyone curious about our own intelligence.

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Emotional Intelligence & Working with Emotional Intelligence - Daniel Goleman

Emotional Intelligence Does IQ define our destiny? Daniel Goleman argues that our view of human intelligence is far too narrow, and that our emotions play a major role in thought, decision making and individual success. Self-awareness, impulse control, persistence, motivation, empathy and social deftness are all qualities that mark people who excel: whose relationships flourish, who are stars in the workplace. With new insights into the brain architecture underlying emotion and rationality, Goleman shows precisely how emotional intelligence can be nurtured and strengthened in all of us.Working with Emotional Intelligence Do you want to be more successful at work? Do you want to improve your chances of promotion? Do you want to get on better with your colleagues? Daniel Goleman draws on unparalleled access to business leaders around the world and the thorough research that is his trademark. He demonstrates that emotional intelligence at work matters twice as much as cognitive abilities such as IQ or technical expertise in this inspiring sequel.

Objev podobné jako Emotional Intelligence & Working with Emotional Intelligence - Daniel Goleman

Intelligence Analysis - National Research Council, Division of Behavioral and Social Sciences and Education, Committee on Behavioral and Social Scienc

The U.S. intelligence community (IC) is a complex human enterprise whose success depends on how well the people in it perform their work. Although often aided by sophisticated technologies, these people ultimately rely on their own intellect to identify, synthesize, and communicate the information on which the nation's security depends. The IC's success depends on having trained, motivated, and thoughtful people working within organizations able to understand, value, and coordinate their capabilities. Intelligence Analysis provides up-to-date scientific guidance for the intelligence community (IC) so that it might improve individual and group judgments, communication between analysts, and analytic processes. The papers in this volume provide the detailed evidentiary base for the National Research Council's report, Intelligence Analysis for Tomorrow: Advances from the Behavioral and Social Sciences. The opening chapter focuses on the structure, missions, operations, and characteristics of the IC while the following 12 papers provide in-depth reviews of key topics in three areas: analytic methods, analysts, and organizations. Informed by the IC's unique missions and constraints, each paper documents the latest advancements of the relevant science and is a stand-alone resource for the IC's leadership and workforce. The collection allows readers to focus on one area of interest (analytic methods, ... Unknown localization key: "more"

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AQA Level 3 Certificate in Mathematical Studies - Ruth Jones, Heather Davis, Anne Haworth, Steve Lomax, Elaine Lambert, Deborah McCarthy, David Bowman

Maths but not as you know it; a fresh take that develops problem-solving skills with new and innovative resources that place contemporary contexts at the centre of learning to maximise student potential.- Supports a wide ability range with challenges for all levels.- Provides assessment practice and guidance with practice questions and worked examples to help each student to reach their potential by boosting the skills they need to understand the demands of the new AQA Level 3 Certificate in Mathematical Studies specification.- Saves you time with a variety of new ideas for use in the classroom and at home.- Places mathematical problems into real life contexts helping your students to apply their knowledge across subjects.- Supports the non-specialist or less-confident teacher.

Objev podobné jako AQA Level 3 Certificate in Mathematical Studies - Ruth Jones, Heather Davis, Anne Haworth, Steve Lomax, Elaine Lambert, Deborah McCarthy, David Bowman

Emotional Intelligence - Gill Hassonová

Transform the way you see the world and the way the world sees you by effectively managing your emotions The happiest and most fulfilled people are not always the cleverest or most talented, skilled, or educated among us. Instead, those who can effectively manage feelings—their own and those of the people around them—frequently wear that crown. And now more than ever, emotional intelligence is the trait you need to develop to unlock your true potential. In the newly revised second edition of Emotional Intelligence, bestselling author of the Mindfulness Pocketbook and career coach, Gill Hasson, delivers yet another insightful roadmap to navigating and harnessing your emotions. You'll learn to boost your productivity, happiness, calm, and confidence as the author explains the startlingly straightforward fundamentals of our feelings. You'll also discover how to boost your “EQ” (emotional intelligence quotient) to improve your personal and work lives, manage conflict, understand office politics, deal with bullying, and more. Emotional Intelligence walks you through how to: Manage anxiety and stress so they don't overwhelm you at work or at homeExpress yourself and your desires clearly and simply so you can get more of what you wantBe more assertive so you can protect yourself and ... Unknown localization key: "more"

Objev podobné jako Emotional Intelligence - Gill Hassonová

An Introduction to Personality, Individual Differences and Intelligence - Luke Smillie, Nick Haslam

What does it mean to have a personality? Is emotional intelligence a kind of intelligence? Learn the answers to these questions, as well as everything you need to know about personality, intelligence, and individual differences in the third edition of this clear and accessible textbook. From natural selection to intelligence tests, and from personality disorders to the concept of IQ, the panoramic coverage of this field makes this textbook essential reading for any psychology student on a personality and individual differences course. New to this edition: ·        Increased coverage of intelligence ·        ‘Key Theorists’ feature ·        Discussion questions moved to end-of-chapter to enable in-text assessment Nick Haslam is Professor of Psychology at the University of Melbourne, Australia. Luke Smillie is an Associate Professor of Psychology at the University of Melbourne and director of the Personality Processes Lab.

Objev podobné jako An Introduction to Personality, Individual Differences and Intelligence - Luke Smillie, Nick Haslam

Emotional Intelligence 2.0 - Jean Greaves, Travis Bradberry

FOREWORD BY PATRICK LENCIONI, BESTSELLING AUTHOR OF THE FIVE DYSFUNCTIONS OF A TEAM. Emotional Intelligence 2.0 is a book with a single purpose--increasing your EQ. Here's what people are saying about it: "Emotional Intelligence 2.0 succinctly explains how to deal with emotions creatively and employ our intelligence in a beneficial way." --THE DALAI LAMA "A fast read with compelling anecdotes and good context in which to understand and improve." --NEWSWEEK "Gives abundant, practical findings and insights with emphasis on how to develop EQ." --STEPHEN R. COVEY "This book can drastically change the way you think about success...read it twice." --PATRICK LENCIONI In today's fast-paced world of competitive workplaces and turbulent economic conditions, each of us is searching for effective tools that can help us to manage, adapt, and strike out ahead of the pack. By now, emotional intelligence (EQ) needs little introduction--it's no secret that EQ is critical to your success. But knowing what EQ is and knowing how to use it to improve your life are two very different things. Emotional Intelligence 2.0 delivers a step-by-step program for increasing your EQ via four, core EQ skills that enable you to achieve your fullest potential: 1) Self-Awareness 2) Self-Management 3) ... Unknown localization key: "more"

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Schaum's Outline of Mathematical Handbook of Formulas and Tables, Fifth Edition - Seymour Lipschutz, Murray Spiegel, John Liu

Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey?Fortunately, there''s Schaum''s. This all-in-one-package includes more than 2,400 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to the revised online Schaum’s.com website-- it''s just like having your own virtual tutor! You''ll find everything you need to build confidence, skills, and knowledge for the highest score possible.More than 40 million students have trusted Schaum''s to help them succeed in the classroom and on exams. Schaum''s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand.Schaum’s Outline of Mathematical Handbook of Formulas and Tables, Fifth Edition features:• More than 2,400 formulas and tables• Clear explanations for all mathematical formulas and procedures• Formulas and tables for elementary to advanced topics• A complete index to all topics• Access to revised Schaums.com website

Objev podobné jako Schaum's Outline of Mathematical Handbook of Formulas and Tables, Fifth Edition - Seymour Lipschutz, Murray Spiegel, John Liu

How British Intelligence Plotted to Read Hitler's Mind - James Parris

In the darkest days of the Second World War, as Europe fell under Nazi domination and Britain faced invasion, Louis de Wohl, a 36-year-old refugee from Germany, made a curious offer to British Intelligence. Based on the widely held belief that Hitler’s every action was guided by his horoscope, de Wohl claimed he could reveal precisely what advice the Führer’s astrologers were giving him.Rather than dismissing de Wohl out of hand as a crank, senior intelligence officers and chiefs of staff of the three armed services took him at his word. De Wohl was made an army captain and quartered in the Grosvenor House Hotel, from where his one-man ‘Psychological Research Bureau’ passed astrological readings and assessments to the War Office, before his deployment to the United States by the highly secret Special Operations Executive on a propaganda mission.Was it possible that Military and Naval intelligence officers could take the ancient and arcane practice of astrology seriously? Was de Wohl genuine or merely a charlatan? Did his astrological readings contribute to the downfall of Hitler and Nazi Germany?In How British Intelligence Plotted to Read Hitler’s Mind, the first fulllength study of Louis de Wohl, James Parris examines the evidence – ... Unknown localization key: "more"

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Awkward Intelligence - Katharina A. Zweig, Noah Block-Harley

An expert offers a guide to where we should use artificial intelligence—and where we should not.Before we know it, artificial intelligence (AI) will work its way into every corner of our lives, making decisions about, with, and for us. Is this a good thing? There’s a tendency to think that machines can be more “objective” than humans—can make better decisions about job applicants, for example, or risk assessments. In Awkward Intelligence, AI expert Katharina Zweig offers readers the inside story, explaining how many levers computer and data scientists must pull for AI’s supposedly objective decision making. She presents the good and the bad: AI is good at processing vast quantities of data that humans cannot—but it’s bad at making judgments about people. AI is accurate at sifting through billions of websites to offer up the best results for our search queries and it has beaten reigning champions in games of chess and Go. But, drawing on her own research, Zweig shows how inaccurate AI is, for example, at predicting whether someone with a previous conviction will become a repeat offender. It’s no better than simple guesswork, and yet it’s used to determine people’s futures. Zweig introduces readers to the basics ... Unknown localization key: "more"

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Mathematical Music - Nikita Braguinski

Mathematical Music offers a concise and easily accessible history of how mathematics was used to create music. The story presented in this short, engaging volume ranges from ratios in antiquity to random combinations in the 17th century, 20th-century statistics, and contemporary artificial intelligence. This book provides a fascinating panorama of the gradual mechanization of thought processes involved in the creation of music. How did Baroque authors envision a composition system based on combinatorics? What was it like to create musical algorithms at the beginning of the 20th century, before the computer became a reality? And how does this all explain today’s use of artificial intelligence and machine learning in music? In addition to discussing the history and the present state of mathematical music, Braguinski also takes a look at what possibilities the near future of music AI might hold for listeners, musicians, and the society.Grounded in research findings from musicology and the history of technology, and written for the non-specialist general audience, this book helps both student and professional readers to make sense of today’s music AI by situating it in a continuous historical context.

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John E. Freund's Mathematical Statistics with Applications - Irwin Miller, Marylees Miller

John E. Freund''s Mathematical Statistics with Applications , Eighth Edition, provides a calculus-based introduction to the theory and application of statistics, based on comprehensive coverage that reflects the latest in statistical thinking, the teaching of statistics, and current practices. This text is appropriate for a two-semester or three-quarter calculus-based course in Introduction to Mathematical Statistics. It can also be used for a single-semester course emphasising probability, probability distributions and densities, sampling, and classical statistical inference.

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