combinatorial extremization in mathematical olympiad and competitions yuefeng feng

Combinatorial Extremization: In Mathematical Olympiad And Competitions - Yuefeng Feng

In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on methods of discrete extremization, such as inequality control, repeated extremum, partial adjustment, exploiting symmetry, polishing transform, space estimates, etc.

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Lecture Notes On Mathematical Olympiad Courses: For Junior Section - Volume 2 - Jiagu Xu

Based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore, this book introduces various concepts and methods in modern mathematics. It is suitable as a textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers.

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Combinatorial Algorithms - Donald L. Kreher, Douglas R. Stinson

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermutationsGraphsDesignsMany classical areas are covered as well as new research topics not included in most existing texts, such as:Group algorithmsGraph isomorphismHill-climbingHeuristic search algorithmsThis work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

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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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Feng Shui for Homebuyers -- Exterior - Yap Joey

Learn to screen and see properties with Feng Shui Vision! From East to West and across various continents, Chief Feng Shui Consultant at the Joey Yap Consulting Group, Joey Yap has engaged with some of the most respected names in property development. These high profile corporate and domestic Feng Shui projects span across the United Kingdom to Australia and almost every country in South East Asia. He reveals in this book how to screen properties and determine their Feng Shui Quotient (FSQ) just by observing what is around the area and using Landform (Luan Tou) Feng Shui techniques. How do you know if a property is surrounded by good Qi? Are all houses built near T-junctions bad? What kind of environmental features are considered positive in Feng Shui? What is the importance of Mountain and Water in Feng Shui? All these questions and more are answered in this book. Why buy a property that has Feng Shui flaws which require fixing, when you can buy a property that is already good and simply requires improvement? Why buy a property that needs costly renovations simply to rectify the Feng Shui flaws when you can buy one that needs no renovation at ... 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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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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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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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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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

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Mathematical Methods in Linguistics - A.G. ter Meulen, R. Wall, Barbara B.H. Partee

Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.

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The Simpsons and Their Mathematical Secrets - Simon Singh

From bestselling author of Fermat''s Last Theorem, a must-have for number lovers and Simpsons fans''An entertaining picture of the insanely high-minded nature of the Simpsons’ writers'' Sunday Times''A valuable, entertaining book that, above all, celebrates a supremely funny, sophisticated show'' Financial TimesYou may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course.In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon’s twenty-five year history, exploring everything from to Mersenne primes, from Euler’s equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers, and much more. With wit, clarity and a true fan’s zeal, Singh analyses such memorable episodes as ‘Bart the Genius’ and ‘Homer³’ to offer an entirely new insight into the most successful show in television history.

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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.

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Model Building in Mathematical Programming - H. Paul Williams

The 5th edition of Model Building in Mathematical Programming discusses the general principles of model building in mathematical programming and demonstrates how they can be applied by using several simplified but practical problems from widely different contexts.

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Feng Shui - Richard Creightmore

In this concise and beautifully illustrated book, world-renowned Feng Shui Master Richard Creightmore uses a lifetime of experience to explain in clear and simple terms that most ancient and complex of Earth sciences and most magical of traditional arts ... Feng Shui.

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Feng Shui - Wu Xing

In this informative and clearly illustrated guide to living in harmony with chi''i, the life-giving energy in and around us all, experts explain how to rebalance the flow of energy to bring health, happiness, and good fortune into your life. An introduction to the ancient guiding principles of traditional Chinese Feng Shui explains how the five elements combine in the home and workplace with step-by-step instructions. Using simple illustrations and instructions, learn how to visualize the "invisible architecture" in your surroundings, both indoors and outside. Determine whether the Feng Shui is "good" or "bad" and how to use a Pa Tzu compass to discover lucky and unlucky directions.

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory - Jindřich Zapletal, Christopher Porter, Jean

This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.

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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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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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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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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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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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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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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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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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Mathematical Biology - Philip K. Maini

Very Short Introductions: Brilliant, Sharp, Inspiring Why are English Premier League football shirt patterns very similar to animal coat markings? And what do invasive species have in common with cancer cells in the body? Mathematical biology develops models which answer these questions, as they are applied to processes from the spread of a gene in a population, to predator-prey dynamics in an ecosystem, to the growth of tumours. In this Very Short Introduction Philip K. Maini describes the art of modelling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another. Using numerous examples, he explains how the same fundamental ideas have been used in different fields, and shows how mathematics is the language of science. The author also points to cases in science where the traditional scientific modelling approach - verbal reasoning - is incorrect and shows how mathematics can uncover, and correct, such flawed reasoning while, at the same time, enhance our intuition. This book provides a guide to the trajectory of mathematical biology from a niche subject in the 1970s to a well-established, popular ... Unknown localization key: "more"

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A Beginner’s Guide to Mathematical Logic - Raymond M. Smullyan

Combining stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic, this new textbook for first courses in mathematical logic was written by the subject''s creative master. Raymond Smullyan offers clear, incremental presentations of difficult logic concepts with creative explanations and unique problems related to proofs, propositional logic and first-order logic, undecidability, recursion theory, and other topics.

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Mathematical Excursions - Daniel K. Clegg, Richard Nation, Richard Aufmann, Joanne Lockwood

“Mathematical Excursions,” 5th Edition, will help you develop mathematical and analytical thinking skills for wherever your own excursions may lead. The authors prepare you for success with study strategies and an introduction to problem solving at the start and then help you discover key mathematical concepts and why they matter. This new edition focuses on what you need to know for your life and career. The coverage will help you make more informed decisions, including financial decisions as well as quick decisions in a variety of contexts. Relatable applications include social media, streaming services, wind energy and hybrid vehicles. We hope you enjoy the journey!

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AQA Mathematical Studies Workbook - June Haighton, Stan Dolan

Written for students studying AQA''s Level 3 Certificate in Mathematical Studies (Core Maths), this Workbook is full of dedicated, highly effective practice to help your students tackle the new exam with confidence and fluency. Structured to match to the accompanying Student Book and the AQA exam specification, this write-in Workbook provides short practice activities and mock papers suitable for all exam options, extra support for key areas that students found challenging in past exams, and includes two complete sets of practice exam papers. Useful links to MyMaths under each activity provide opportunites for further support and practice.

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Principles of Mathematical Analysis (Int'l Ed) - Walter Rudin

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind''s construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.This text is part of the Walter Rudin Student Series in Advanced Mathematics.

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Lectures on Mathematical Relativity - Justin Corvino, Pengzi Miao

This book introduces and explores some of the deep connections between Einstein''s theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at graduate students in mathematics and mathematical physics, starting from the foundations of special and general relativity, and moving to more advanced results in geometric analysis and the Einstein constraint equations. Topics include the formulation of the Einstein field equation and the Einstein constraint equations; gluing construction of initial data sets which are Schwarzschild near infinity; and an introduction to the Riemannian Penrose inequality. While the book assumes a background in differential geometry and real analysis, a number of basic results in geometry are provided. There are well over 100 exercises, many woven into the fabric of the chapters as well as others collected at the end of chapters, to give readers a chance to engage and extend the text.

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Classics in Graphics: Shakespeare's Romeo and Juliet - Steve Barlow, Steve Skidmore

Shakespeare''s Romeo and Juliet like you''ve never seen it - or read it - before!Classics in Graphics: Romeo and Juliet has been adapted into a graphic novel by expert authors, Steve Skidmore and Steve Barlow, with illustrations by Wendy Tan Shiau Wei. The epic, tragic love story reads like your favourite film on the page - as Death stubbornly hovers over the heads of our star-crossed lovers.Classics in Graphics is a series of graphic novels for children aged 10 plus that has inclusion at its heart, flinging wide the doors of literature for everyone to enter and understand. Including dyslexia-friendly design on every page, and encouraging readers to relate to these iconic roles - casting spells, falling in love and winning duels.Each graphic novel includes pitch-perfect illustrations for presenting the tragic, the romantic, the comedic, the magical, as well as:- snappy simplified text presenting Shakespeare''s themes clearly- introductory materials to help set the scene and context of each story- heaps of extra material at the back to keep the learning and fun going, including an exploration of themes in the play, the language, Shakespeare''s inspirations, the publication and performance of the play in history, a timeline of Shakespeare''s life and ... Unknown localization key: "more"

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Citizenship, Democracy and Belonging in Suburban Britain

A study of the conditions of being a citizen, belonging and democracy in suburban Britain, this book focuses on understanding how a community takes on the social responsibility and pressures of being a good citizen through what they call ?stupid? events, festivals and parades. Building a community is perceived to be an important and necessary act to enable resilience against the perceived threats of neoliberal socio-economic life such as isolation, selfishness and loss of community. Citizenship, Democracy and Belonging in Suburban Britain{::}** explores how authoritative knowledge is developed, maintained and deployed by this group as they encounter other ?social projects?, such as the local council planning committee or academic projects researching participation in urban planning.The activists, who call themselves the ?Seething Villagers?, model their community activity on the mythical ancient village of Seething where moral tales of how to work together, love others and be a community are laid out in the Seething Tales. These tales include Seething ?facts? such as the fact that the ancient Mountain of Seething was destroyed by a giant. The assertion of fact is central to the mechanisms of play and the refusal of expertise at the heart of the Seething community. The book also ... Unknown localization key: "more"

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Sunshine and Sweet Peas in Nightingale Square - Heidi Swain

‘Pour out the Pimm’s, pull out the deckchair and lose yourself in this lovely, sweet, summery story!’ MILLY JOHNSONThe heart-warming new novel from the Sunday Times bestselling author, perfect for fans of Carole Matthews, Milly Johnson and Cathy Bramley Kate is on the run from her almost-divorced husband who is determined to have her back, and she has found the perfect place to hide... a little cottage on Nightingale Square in Norwich, far away from her old life in London. But the residents of Nightingale Square don't take no for an answer, and Kate soon finds herself pulled into a friendship with Lisa, her bossy but lovely new neighbour. Within a matter of days Kate is landed with the job of campaigning the council to turn the green into a community garden, meanwhile all the residents of Nightingale Square are horrified to discover that the Victorian mansion house on the other side of the square has been bought by developers. But when all hope is lost, the arrival of a handsome stranger is sure to turn things around! Heidi Swain is the perfect summer read - you'll want to find your own green space, stretch out in the sun and ... Unknown localization key: "more"

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Meditating Death in Medieval and Early Modern Devotional Writing - Mark Chinca

The monograph series Oxford Studies in Medieval Literature and Culture showcases the plurilingual and multicultural quality of medieval literature and actively seeks to promote research that not only focuses on the array of subjects medievalists now pursue—in literature, theology, and philosophy, in social, political, jurisprudential, and intellectual history, the history of art, and the history of science—but also that combines these subjects productively. It offers innovative studies on topics that may include, but are not limited to, manuscript and book history; languages and literatures of the global Middle Ages; race and the post-colonial; the digital humanities, media and performance; music; medicine; the history of affect and the emotions; the literature and practices of devotion; the theory and history of gender and sexuality, ecocriticism and the environment; theories of aesthetics; medievalism.Meditating about death and the afterlife was one of the most important techniques that Christian societies in medieval and early modern Europe had at their disposal for developing a sense of individual selfhood. Believers who regularly and systematically reflected on the inevitability of death and the certainty of eternal punishment in hell or reward in heaven would acquire an understanding of themselves as a unique persons defined by their moral actions; ... Unknown localization key: "more"

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A Beginner's Guide to Critical Thinking and Writing in Health and Social Care, 3e - Helen Aveyard, Marion Waite

“From start to finish, this book gives a clear overview of the skills required to be successful at thinking critically both in academic work and within clinical practice.”Ruth Trout, Senior Lecturer in Acute Care, Programme and BSc Dissertation Lead, MSc Dissertation Supervisor, Buckinghamshire New University, UK “This third edition of this book continues where the first and second editions excelled - in providing the foundations of critical thinking for students of health and social care.” Dr David M Rea, School of Health and Social Care, Swansea University, UKEver been told to be ‘more critical’ in your essay writing? Ever wondered what critical thinking actually is and how you can apply it in your academic work and practice?Returning in its third edition, this bestselling guide takes you through every stage of becoming a critical thinker, from approaching your subject to writing your essays or dissertation in health and social care. Each chapter tackles a different aspect of critical thinking and shows you how it’s done using examples and simple language. Beginning with an overview of the importance of critical thinking, the book goes on to cover:How to think more critically about readily available informationHow to find the ‘best available’ evidence and ... Unknown localization key: "more"

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Theory and Explanation in Geography - Henry Wai-chung Yeung

THEORY AND EXPLANATION IN GEOGRAPHY "With this book Henry Yeung puts Geography back into the driver's seat of new theory development. Foregrounding mid-range theories and mechanism-based explanations, he offers a pragmatic approach that has the capacity to shape the wider social sciences for years to come. The timing of this intervention is pitch-perfect, as scholars search for ways to understand and intervene in an increasingly distrustful and polarized world."—KATHARYNE MITCHELL, Distinguished Professor, University of California, Santa Cruz, USA "In Theory and Explanation in Geography Yeung presents us with a rare thing - an argument for geographical theory with forms of causal explanation at its heart. The book is both modest and ambitious. Modest in its insistence on mid-level theory without a call for some new “turn” or advocacy for any particular approach. Ambitious in its insistence that existing theoretical traditions are inadequate or incomplete insofar as they lack causal explanatory power. Geographers will be inspired and/or infuriated by Yeung’s arguments in this provocative and cogently argued call to theoretical arms for many years to come."—Tim Cresswell, Ogilvie Professor of Geography, University of Edinburgh, UK "Critical human geography possesses a distinctive theory culture—pluralist, creative, distributed, restless, contested—prone to “turning,” wary of ... Unknown localization key: "more"

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Poetic Writing and the Vietnam War in West Germany

In the 1960s and 1970s in the Federal Republic of Germany (FRG), or West Germany, newspaper readers and television viewers were appalled by terrible images of fires burning half a world away. The Vietnam War was a decisive catalyst for the era?s wider protest movements and gave rise to an ardent anti-war discourse. This discourse privileged writing in many forms. Within it, poetry and poetic writing were key; and because coverage of the conflict in Vietnam often focused on spectacular, destructive conflagrations ignited by hi-tech machines of war, their dominant trope was fire. Hundreds of poems and related writings about Vietnam circulated in the FRG, yet they are almost entirely forgotten today.Poetic Writing and the Vietnam War in West Germany uncovers and explores some of this rich production in order to present a new history of engaged poetic writing in the FRG in the 1960s and 1970s, and to draw out distinctive characteristics of wider protest culture. In doing so, it makes the case for attending to marginal, non-canonical or neglected literary and cultural forms, and for critical thinking about why they might, over time, have been obscured. This book offers, too, a case study for reflection on the representation ... Unknown localization key: "more"

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Tackling Poverty and Disadvantage in Schools - Katrina Morley, Sean Harris

Actionable, road-tested approaches to understanding and tackling poverty in schoolsThe stark reality of poverty and disadvantage in our communities is one of the biggest challenges faced by schools today. Schools need better understanding of the broader impact of poverty and disadvantage and what they can do about it – that’s where Tackling Poverty and Disadvantage in Schools comes in.The book is divided into three clear sections on how to understand and tackle poverty across the whole school, in the classroom, and within the community.The whole school section focuses on understanding poverty and its roots, including:- defining poverty and addressing the topic within professional development- assessing the school day to discover and address barriers, from uniform prices and transport to accessing free school meals- giving early help and intervention- understanding the intersection between poverty and displacementThe classroom section focuses on barriers to learning and practical steps to address these, including:- how to adapt the curriculum to assist pupils with fewer advantages- how a focus on social justice can help- the importance of readingThe community section addresses the wider context, including:- addressing exclusion and suspension rates, and how to use mentors to encourage pupils- partnerships with local businesses and organisations to broaden ... Unknown localization key: "more"

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Statistical And Data Handling Skills in Biology - Roland Ennos, Magnus Johnson

Is there a link between people’s heart rate and blood pressure? Does the lead in petrol fumes affect the growth of roadside plants? The ability to expertly analyse statistical data is a crucial skill in the biological sciences – it is fundamental to fully understanding what your experiments are actually telling you and so being able to answer your research questions. Statistical and Data Handling Skills in Biology gives you everything you need to understand and use statistical tests within your studies and future independent research. Written in a straight-forward and easy to understand style it presents all of the tests you will need throughout your studies, and shows you how to select the right tests to get the most out of your experiments. All of this is done in the context of biological examples so you can see just how relevant a skill this is, and how becoming fully proficient will make you a more rounded scientist. This 4th edition has been thoroughly updated throughout and now includes detailed coverage of the free statistical package R studio and a new chapter on how to write about and present statistics in papers, theses and reports. The first chapter has also ... Unknown localization key: "more"

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Mental Health and Wellbeing in the Workplace - Gill Hassonová, Donna Butler

Provides guidance for both employers and staff on promoting positive mental health and supporting those experiencing mental ill health in the workplace The importance of good mental health and wellbeing in the workplace is a subject of increased public awareness and governmental attention. The Department of Health advises that one in four people will experience a mental health issue at some point in their lives. Although a number of recent developments and initiatives have raised the profile of this crucial issue, employers are experiencing challenges in promoting the mental health and wellbeing of their employees. Mental Health & Wellbeing in the Workplace contains expert guidance for improving mental health and supporting those experiencing mental ill health. This comprehensive book addresses the range of issues surrounding mental health and wellbeing in work environments – providing all involved with informative and practical assistance. Authors Gill Hasson and Donna Butler examine changing workplace environment for improved wellbeing, shifting employer and employee attitudes on mental health, possible solutions to current and future challenges and more. Detailed, real-world case studies illustrate a variety of associated concerns from both employer and employee perspectives. This important guide: Explains why understanding mental health is important and its impact ... Unknown localization key: "more"

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Sustainability Management in the Oil and Gas Industry

The oil and gas industry is a complex sector with significant reach in terms of providing the energy needs of the global economy and the security, environmental and development consequences thereof. In particular, the sector is extremely important for the economic growth of emerging markets and developing countries. Furthermore, the life span of oil and gas resources is finite, with high health and safety risks and substantial environmental costs that require careful management and sustainability practices to ensure optimal extraction and utilisation of these resources. This book examines the challenges and opportunities in the oil and gas industry, in the context of emerging markets and developing economies.It provides comprehensive coverage of the management and sustainability practices of the sector, the environmental impact and sustainability of resources as well as the businesses that operate in the sector across the entire value chain. It addresses the current discourse on topics such as the Sustainable Development Goals, the Green Economy, the Paris Agreement and Glasgow Climate Pact and concludes with a chapter on the future of the oil and gas industry. The discussions around energy and energy transitions in particular continue to gain momentum and the book provides a wide-reaching and up-to-date overview ... Unknown localization key: "more"

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Teaching in Lifelong Learning 3e A guide to theory and practice - James Avis, Roy Fisher, Ron Thompson

Addressing the Professional Standards for Teachers and Trainers, this bestselling textbook helpfully balances theory and practice, introducing key theories and concepts relating to learning and assessment as well as providing practical advice on teaching.Extensively revised and updated to reflect the current educational policy environment, this textbook for teaching provides thorough and extensive coverage of the topics for higher-level awards in Education and Training. The textbook provides a logical progression through the essential aspects of teaching, such as planning and assessment; it considers key related areas including teacher professionalism, equality and diversity, and mentoring and coaching; and it presents this invaluable guidance in an accessible and readable format. In outlining the challenges, opportunities, and debates in and around lifelong learning, the editors and contributing authors draw on their extensive teaching experience, as well as offering an evidence-based approach with a wide range of research. Teaching in Lifelong Learning: A Guide to Theory and Practice is core reading for those teaching or preparing to teach in further, higher and community education as well as in public sector contexts and in private training organisations, including those studying for CertEd/PGCE and related awards, such as the Level 4 Certificate and Level 5 Diploma in ... Unknown localization key: "more"

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Routledge International Handbook of Music Psychology in Education and the Community

This handbook provides an evidence-based account of psychological perspectives on issues in music education and music in the community through the life course, exploring our understanding of music learning and participation across contexts.The contributors draw on multidisciplinary research from different cultures and contexts in order to set out the implications of music psychology for music education and music in the community. Highlighting the intersecting issues across education and community contexts, the book proposes new theories as well as offering important refinements to existing conceptual models. Split into six parts, it considers the role of music in society as well as for groups and individuals, and explores topics such as processing and responding to music; pedagogical and musical practices that support or pose challenges to the emotional, cognitive, social or physical wellbeing of learners and participants in a range of contexts; and ‘music in identity’ or ‘identity in music’. With the final part on future directions and the implications for professional practice in music education and music in the community, the book concludes by exploring how the two sectors might work more closely together within a post-COVID-19 world.Based on cutting-edge research from an international team, this is essential reading for anyone ... Unknown localization key: "more"

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The Office and Authority of the Local Prior in the Order of Saint Augustine - Robert F. Prevost

As a young priest, Robert Prevost was sent in 1981 to Rome to study church law at the Pontifical University of Saint Thomas (known as the Angelicum). There he earned a licentiate and composed a doctoral thesis, which made final in 1987. This is that thesis, the first book-length work composed by the man now known as Pope Leo XIV. Specifically, his study - drawing from sources in English, Italian, and Spanish and from medieval history and theology as well as canon law - focused on the role of the prior as the local superior in the Order of St. Augustine. In doing so, he describes a traditional notion of obedience in religious life - one based on love of the truth and growth in one's inner freedom to pursue holiness. At the center of his reflection are key ideas regarding the common good of the Church; the Eucharistic liturgy at the center of the life of the community; the role of hierarchy and consultation; and mutual respect for the diverse contributions of each person. Present in this text, moreover, is a far-reaching conception of the priesthood characterized by the triple munera: the priestly work of teaching, sanctification, and governance. ... Unknown localization key: "more"

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Ethics in Psychotherapy and Counseling - Hector Y. ) Adames, Nayeli Y ) Chavez-Duenas, Melba J. T. Vasquez, Kenneth S. Ethics Committees) Pope

Take your ethical reasoning and practice to the next level with timely discussions of new and reoccuring issues in psychology and counseling. In the newly revised Sixth Edition of Ethics in Psychotherapy and Counseling: A Practical Guide, a distinguished team of psychologists deliver a compilation of practical and creative approaches to the responsibilities, challenges, and opportunities encountered by therapists and counselors in their work. The book covers the many changes and difficulties created by new technologies like electronic health records, videoconferencing, texting, and practicing across state and provincial boundaries. Using a new, easy-to-navigate structure and including brand new chapters on cultural ethics, social justice and human rights ethics, and the application of strategies for self-care, the authors discuss complex issues in a straightforward and accessible way. Conversations about moral distress and moral courage and actionable steps to strengthen ethics in organizational settings round out the useful material contained within. Once referred to as the "conscience of psychology," this must-read book also includes: A thorough introduction to the foundations of psychotherapeutic ethics, including ethics in real life, ethics in theories and codes, cultural context, ethical decision making, and moral courage. An exploration of common sources of ethical problems and pitfalls, including: ... Unknown localization key: "more"

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You Look So Much Better in Person : True Stories of Absurdity and Success

Today coanchor Al Roker presents an entertaining guide to achieving a life of happiness and success through the power of "yes!"These days, the road to success can feel jampacked with scheduling, networking, nonstop hustle, and flat-out absurdity. And no one knows that better than Al Roker—beloved cohost of The Today Show, weatherperson extraordinaire, and the man we all secretly wish we could turn to for wisdom and wisecracks in our everyday lives. From his college days as a polyester suit-clad weather forecaster in Syracuse to battling and buttering up the "Butter Man" during the legendary Macy's Thanksgiving Day Parade, Al has learned worthwhile lessons over a long, successful career. And now, for the first time, Al is ready to unleash savvy advice on how to embrace happiness and the power of saying "yes," alongside a host of humorous tips and tricks about how to succeed in life.In You Look So Much Better in Person, Al teaches us how we can weather the storm of life, no matter how torrential the downpour, and shares anecdotes from his own treasure trove of memories in the spotlight. And it hasn't always been easy—believe it or not, even Al has been yelled at by ... Unknown localization key: "more"

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Learning to Teach Art and Design in the Secondary School

Learning to Teach Art and Design in the Secondary School is the key text for all those preparing to become art and design teachers in secondary school. It explores a range of approaches to teaching and learning, and provides a conceptual and practical framework for understanding the diverse nature of art and design in the secondary school curriculum.Written by experts in the field, it aims to inform and inspire, challenge orthodoxies and encourage a freshness of vision. It provides support and guidance for learning and teaching in art and design, suggesting strategies to motivate and engage pupils in making, discussing and evaluating visual and material culture.This fourth edition has been comprehensively updated and re-structured in light of the latest theory, research and policy in the field and includes new chapters exploring diversity, identity and inclusion, attitudes to making and teaching as an artistic practice.Essential topics include:Ways of learning in art and designTeaching as an artistic practicePlanning for teaching and learningDiversity and inclusionSustainable designAssessment and examinationsCritical studiesProfessional development in the gallerySupporting each chapter are suggestions for further reading and tasks designed to encourage you to reflect critically on your practice. Learning to Teach Art and Design in the Secondary School addresses ... Unknown localization key: "more"

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