explorations in number theory cam mcleman erin mcnicholas colin starr
Explorations in Number Theory - Cam McLeman, Erin McNicholas, Colin Starr
This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structures as they discover the key concepts of elementary number theory. Inquiry-based learning (IBL) appears throughout the chapters, allowing students to develop insights for upcoming sections while simultaneously strengthening their understanding of previously covered topics. The text is organized around three core themes: the notion of what a “number†is, and the premise that it takes familiarity with a large variety of number systems to fully explore number theory; the use of Diophantine equations as catalysts for introducing and developing structural ideas; and the role of abstract algebra in number theory, in particular the extent to which it provides the Fundamental Theorem of Arithmetic for various new number systems. Other aspects of modern number theory – including the study of elliptic curves, the analogs between integer and polynomial arithmetic, p-adic arithmetic, and relationships between the spectra of primes in various rings – are included in smaller but persistent threads woven through chapters and exercise sets.Each chapter concludes with exercises organized in four categories: Calculations and Informal Proofs, Formal ... Unknown localization key: "more"
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Essays in Classical Number Theory - Yoichi Motohashi
Offering a comprehensive introduction to number theory, this is the ideal book both for those who want to learn the subject seriously and independently, or for those already working in number theory who want to deepen their expertise. Readers will be treated to a rich experience, developing the key theoretical ideas while explicitly solving arithmetic problems, with the historical background of analytic and algebraic number theory woven throughout. Topics include methods of solving binomial congruences, a clear account of the quantum factorization of integers, and methods of explicitly representing integers by quadratic forms over integers. In the later parts of the book, the author provides a thorough approach towards composition and genera of quadratic forms, as well as the essentials for detecting bounded gaps between prime numbers that occur infinitely often.
Objev podobné jako Essays in Classical Number Theory - Yoichi Motohashi
Number Theory - Robin Wilson
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the ''building blocks'' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation''s defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles''s proof of ''Fermat''s last theorem'' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the ... Unknown localization key: "more"
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An Introduction to Probabilistic Number Theory - Emmanuel Kowalski
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics.
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Elementary Number Theory - Kenneth Rosen
Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.
Objev podobné jako Elementary Number Theory - Kenneth Rosen
Number Theory - George E. Andrews
Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
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Elementary Number Theory - Gareth A. Jones, Josephine M. Jones
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat''s Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
Objev podobné jako Elementary Number Theory - Gareth A. Jones, Josephine M. Jones
Introduction to Analytic Number Theory - Tom M. Apostol
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."--MATHEMATICAL REVIEWS
Objev podobné jako Introduction to Analytic Number Theory - Tom M. Apostol
Warriors: A Shadow in RiverClan (Full-Color Adventure) - Erin Hunterová
The warrior cats leap off the page in their first-ever original full-color adventure''a  stand-alone graphic novel set in the wild world of Erin Hunter''s #1 bestselling Warriors series. When RiverClan fell under the rule of the vicious Tigerstar, Feathertail barely escaped with her life. Now RiverClan is trying to rebuild in unity and peace''even if Feathertail isn''t ready to forgive her Clanmates.But when RiverClan takes in a rogue cat named Sasha and her two kits, Feathertail must find a way to escape the shadows of the past if she is to be a part of her Clan''s future. Set after the events of Warriors: The Prophecies Begin, this action-packed, stand-alone adventure is perfect for longtime Erin Hunter fans and new readers alike.
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New Directions in Criminological Theory
New Directions in Criminological Theory focuses on new approaches to theory construction, with particular emphasis on reformulations and new applications of existing paradigms. It includes an assessment of labeling theory, demonstrating how the approach could become part of a more comprehensive explanation of crime. A case is made for studying crime in terms of the social context in which crimes are conceived, interpreted, and negotiated. The debate between crime-general and crime-specific approaches is further amplified. A rethinking of Hirschi''s control theory is presented. The volume includes theoretical discussions of spouse abuse, of punishment, and of power-control models. Additional chapters examine theoretical advances in corporate illegality, employee theft, and the alcohol/crime syndrome.These original contributions include: Charles F. Wellford and Ruth A. Triplett, ''The Future of Labeling Theory''; Austin T. Turk, ''A Proposed Resolution of Key Issues in the Political Sociology of Law''; David Weisburd and Lisa Maher, ''Contrasting Crime-General and Crime-Specific Theory''; Sally Simpson, ''Strategy, Structure, and Corporate Crime''; Edward W. Sieh, ''Employee theft''; Robert Nash Parker, ''Alcohol and Theories of Homicide''; Kimberly L. Kemph, ''The Empirical Status of Hirschi''s Control Theory''; Jeffrey Fagan, ''The Social Control of Spouse Assualt''; Marc Le Blanc and Aaron Caplan, ''Theoretical Formalization, A Necessity''; Michael ... Unknown localization key: "more"
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Warriors: A Thief in ThunderClan (Full-Color Adventure) - Erin Hunterová
The warrior cats leap off the page in this full-color graphic novel adventure—a stand-alone story set in the world of Erin Hunter’s #1 bestselling Warriors series.After recovering from the dog attack she survived as an apprentice, Brightheart is once again a warrior of ThunderClan. But moons of battle and betrayal have left her with lingering suspicions about where her Clanmates’ loyalties lie. So when freshkill starts going missing from camp, she fears the worst.Alongside her mate Cloudtail, Brightheart decides to investigate without alerting the other warriors. But as she struggles to track down the culprit, she’ll have to take a leap of faith—and remember what it means to be part of a Clan. Set shortly after the events of Warriors: The Prophecies Begin, this action-packed, stand-alone adventure is perfect for longtime Erin Hunter fans and new readers alike.
Objev podobné jako Warriors: A Thief in ThunderClan (Full-Color Adventure) - Erin Hunterová
Adventures in Marxist Theory - Kellner Douglas
Adventures in Marxist Theory provides an Introduction and overview of Marxian theory, demonstrating its contemporary relevance to social and political theory and a range of disciplines from philosophy to economics.The book presents a twenty-first century Marxism relevant to theorizing contemporary state capitalist and technological societies, critically dissecting their major social and political issues and problems, while advancing progressive social transformation in the interests of increased democracy and social justice. The volume opens with an Introduction describing a multi-disciplinary and critical approach to Marxism and its application to a wide range of contemporary issues, including the alienation of labor in the workplace, social divisions and injustices such as classism, sexism, racism, and homophobia, and questions of technology, social media and AI, as well as problems of ecological crisis, autocracy and state oppression. Specific chapters address the Marxian critique of capitalism and theory of socialism, its concept of ideology and morality, its methodological synthesis of social science, critical theory and its analyses of globalization, technology, and democracy.Written by a distinguished scholar of Marxism, critical theory, and cultural and political studies, the volume will be a key resource for instructors, students, and readers in historical and contemporary sociology, social and critical theory, political ... Unknown localization key: "more"
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Edexcel Award in Number and Measure Level 1 Workbook - Bobbie Johns
Edexcel Award for Number and Measure Level 1 Workbook The Number and Measure Level 1 Workbook is designed to build proficiency in number and measure for students who want to: gain a qualification that can demonstrate their abilities and support progression to future training or employment, or move into GCSE Mathematics at Foundation tier. This low-priced write-in workbook offers extensive practice that’s free of problem solving for learners to gain confidence in number and measure skills at Level 1.
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Edexcel Award in Number and Measure Level 2 Workbook - Su Nicholson
The Number and Measure Level 2 Workbook is designed to build proficiency in number and measure for students who want to: progress beyond Number and Measure at Level 1, or improve their learning in GCSE Mathematics. This low-priced write-in workbook offers extensive practice that’s free of problem solving for learners to gain confidence in number and measure skills at Level 2.
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Key Issues in Historical Theory - Paulette Kouffman Sherman
Key Issues in Historical Theory is a fresh, clear and well-grounded introduction to this vibrant field of inquiry, incorporating many examples from novels, paintings, music, and political debates. The book expertly engages the reader in discussions of what history is, how people relate to the past and how they are formed by the past.Over 11 thematically-based chapters, Herman Paul discusses subjects such as:history, memory and traumahistorical experience and narrativemoral and political dimensions of history historical reasoning and explanation truth, plausibility and objectivity.Key Issues in Historical Theory convincingly shows that historical theory is not limited to reflection on professional historical studies, but offers valuable tools for understanding autobiographical writing, cultural heritage and political controversies about the past.With textboxes providing additional focus on a range of key topics, this is an attractive, accessible and up-to-date guide to the field of historical theory.
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Life Matters - Colin Murray
In his late fifties and having one eye on a well-earned retirement Colin Murray, a full-time decorator and Church pastor in North East Scotland received the bombshell news he was suffering from Motor Neurone Disease. From the sheer panic of his first night following his MND diagnosis, Colin confronts the brutal, merciless muscle wasting disease head on with prayer and positivity. Accepting his diagnosis, he continues to fight his prognosis with positivity and prayer. In Life Matters, Colin reminds us that we should never minimise or over spiritualise anyone’s struggle with pain and that secular groups are more compassionate, empathetic, and Christlike than Christians with questionable doctrine. While many question their faith and recoil with fear in the face of a terminal diagnosis Colin remains a persevering, shining light to many during his declining health and an ever-increasing loss of mobility. This book is testimony that hope is real, Spirit life is real and in: “Gods strength is made perfect in weaknessâ€. As a Church pastor Colin realises that his life now, is his greatest sermon. It is clear reading this powerful book that Colin is no whitewashed tomb. He is alive in Christ, already a possessor of the “life ... Unknown localization key: "more"
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Explorations in Late Scholasticism - Petr Dvořák, Tomáš Machula
Mimořádné číslo FČ Explorations in Late Scholasticism sestává z devíti odborných studií, které se zaměřují na různá témata tzv. druhé scholastiky. Dříve nedoceněný proud filozofického a teologického myšlení šestnáctého a sedmnáctého století je v současné době předmětem intenzivního badatelského zájmu. Ukazuje se, že jeho studium pomáhá lépe porozumět známým raně novověkým autorům jako byli Descartes, Leibniz a další. Kromě toho představuje důmyslné rozpracování řady myšlenkových námětů starší středověké scholastiky. V neposlední řadě druhoscholastická řešení filozofických problémů inspirují i ryze současné diskuse v rámci analytické filozofie. Autoři, přední domácí i zahraniční badatelé v dané oblasti, představují zajímavá témata z oblasti etiky, filozofické antropologie, teorie poznání i metafyziky. Pokračují tak v úsilí profesora Stanislava Sousedíka, jemuž je u příležitosti životního jubilea kniha věnována.
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Colin Kaepernick: Change the Game - Colin Kaepernick, Eve L. Ewing
Colin Kaepernick: Change the Game is an inspiring high school graphic novel memoir for readers 12 and up from celebrated athlete and activist Colin Kaepernick.High school star athlete Colin Kaepernick is at a crossroads in life. Heavily scouted by colleges and MLB as a baseball pitcher, he has a bright future ahead of him as a highly touted prospect. Everyone from his parents to his teachers and coaches are in agreement on his future. Colin feels differently.Colin isn’t excited about baseball. In the words of five-time all-star MLB player Adam Jones, “Baseball is a white man’s game.†Colin looks up to athletes like Allen Iverson: talented, hyper-competitive, unapologetically Black, and dominating their sports while staying true to themselves. College football looks a lot more fun than sleeping on hotel room floors in the minor leagues of baseball. But Colin doesn''t have a single offer to play football. Yet.This touching graphic novel explores the story of how a young change-maker learned to find himself and never compromise. How the right decision is very rarely the easy one, but taking the road less traveled can make all the difference in the world.
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A First Course in Ergodic Theory - Charlene Kalle, Karma Dajani
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from — designed to require only minimal prerequisites.FeaturesSuitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysisPerfect as the primary textbook for a course in Ergodic TheoryExamples are described and are studied in detail when new properties are presented.
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Number Theory and Geometry through History - J. S. Chahal
Developed from a course on the history of mathematics, the book is aimed at school teachers of mathematics who need to learn more about mathematics than its history, and in a way they can communicate to middle and high school students. The author hopes to overcome, through these teachers using this book, math phobia among these students.The book develops an appreciation mathematics by not only looking at the work of individual, including Euclid, Euler, Gauss, etc. but also how mathematics developed from ancient civilizations. Brahmins (Hindu priests) devised our current decimal number system now adopted throughout the world. The concept of limit, which is what calculus is all about, was not alien to ancient civilizations as Archimedes used a method similar to the Riemann sums to compute the surface area and volume of the sphere.No theorem is here cited in a proof that has not been proved earlier in the book. There are some exceptions when it comes to the frontier of current research.Appreciating mathematics requires more than thoughtlessly reciting first the ten by ten, then twenty by twenty multiplication tables. Many find this approach fails to develop an appreciation for the subject. The author was once one of those ... Unknown localization key: "more"
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Introduction to Mathematical Methods in Population Theory - Jacek Banasiak
This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology. The book covers both discrete and continuous models.The presentation emphasises the solvability of the equations appearing in the mathematical modelling of natural phenomena and, in the absence of solutions, the analysis of their relevant properties. Of particular interest are methods that allow for determining the long-term behaviour of solutions. Thus, the book covers a range of techniques, from the classical Lyapunov theorems and positivity methods based on the Perron–Frobenius theorem, to the more modern monotone dynamical system approach. The book offers a comprehensive presentation of the Lyapunov theory, including the inverse Lyapunov theorems with applications to perturbed equations and Vidyasagar theorem. Furthermore, it provides a coherent presentation of the foundations of the theory of monotone dynamical systems with its applications to epidemiological models. Another feature of the book is the derivation of the McKendrick–von Foerster equation from the discrete Leslie model and the analysis of the long-term behaviour of its solutions.Designed for upper undergraduate courses and beyond, this textbook is written for students and researchers looking to master the mathematics of the tools commonly used to analyse ... Unknown localization key: "more"
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Elements of Style - Erin Gates
Elements of Styleis a uniquely personal and practical decorating guide that shows how designing a home can be an outlet of personal expression and an exercise in self-discovery. Drawing on her ten years of experience in the interior design industry, Erin combines honest design advice and gorgeous professional photographs and illustrations with personal essays about the lessons she has learned while designing her own home and her own life-the first being: none of our homes or lives is perfect. Organized by rooms in the house, Elements of Styleinvites readers into Erin''s own home as well as homes she has designed for clients. Fresh, modern, and colourful, it is brimming glamour and style as well as advice on practical matters from choosing kitchen counter materials to dressing a bed with pillows, picking a sofa, and decorating a nursery without cartoon characters. You''ll also find an extensive Resource and Shopping Guide that provides an indispensable a roadmap for anyone embarking on their first serious home decorating adventure. With Erin''s help, you can finally make your house your home.
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Explorations in Ancient and Modern Philosophy: Volume 3 - Myles Burnyeat
Myles Burnyeat (1939–2019) was a major figure in the study of ancient Greek philosophy during the last decades of the twentieth century and the first of this. After teaching positions in London and Cambridge, where he became Laurence Professor, in 1996 he took up a Senior Research Fellowship at All Souls College, Oxford, from which he retired in 2006. In 2012 he published two volumes collecting essays dating from before the move to Oxford. Two new posthumously published volumes bring together essays from his years at All Souls and his retirement. The main body of Volume 3 presents studies written for a wide readership, first on Plato''s Republic and then on the reading and interpretation of Plato in subsequent periods, particularly in nineteenth-century Britain. The volume also includes hitherto unpublished lectures, ''The Archaeology of Feeling'', on the ancient origins of some key modern philosophical and psychological concepts.
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The Urban Design Legacy of Colin Rowe - Antonio Pietro Latini, Steven Hurtt, James Tice
Colin Rowe is acknowledged to be the most influential figure in architectural theory in the last half of the 20th century. Although his contribution to the discipline and practice of urban design is equally important, there is no single text which specifically focuses on his work in this sphere. This book intends to address this omission by critically examining Rowe''s urban design theory and its evolution, which began at the Cornell University Urban Design program in 1963 and continued until his death in 1999. The text features a score of previously unpublished essays by prominent scholars, educators and practitioners, many of whom were his students or close collaborators. The Urban Design Legacy of Colin Rowe provides a window to explore past, present and future themes central to the discipline of urban design as seen through the critical lens of Colin Rowe and those who continue to define their creative work in relationship to that extraordinary intellect.
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Kočičí válečníci: Síla tří (1) – Vidění Erin Hunterová
První díl třetí série Kočičích válečníků pokračuje v příbězích o klanech divokých koček. Hvězdný klan vyvolil tři mladé učedníky, kteří musí čelit novým výzvám. Kniha má 344 stran a je určena čtenářům od 9 let.
- První díl nové série od oblíbené autorky
- Vhodné pro čtenáře od 9 let
- Brožovaná vazba v praktickém formátu
- Pokračování úspěšné série o kočičích klanech
Objev podobné jako Kočičí válečníci: Síla tří (1) – Vidění Erin Hunterová
Some Cambridge Controversies in the Theory of Capital - G. C. Harcourt
"The Cambridge Capital Controversy was one of the most significant debates in Twentieth Century economics. First published in 1972, this book provides an accessible reconstruction of the controversy with detailed discussion of the major points raised by its primary protagonists: Piero Sraffa and Joan Robinson on the post-Keynesian side (Cambridge, UK) and Robert Solow and Paul Samuelson on the neo-classical side (Cambridge, MA). The book is now considered to be a classic. This fiftieth anniversary edition comes with a new preface by the author and two new afterwords that reflect on the author''s contribution to the field and the significance of the book in the history of economics. Topics covered include the measurement of capital, the revival of interestin Irving Fisher''s rate of return on investment, the double-switching debate, Sraffa''s prelude to a critique of neoclassical theory, and the ''new'' theories of the rate of profits in capitalist society"--
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Explorations in Fatherland - Judith Edwards
This book explores the role of fathers from a broadly psychoanalytic lens, looking at fatherhood from the evolving perspective of fathers, the rest of the family, and society as a whole.Edwards draws on her rich clinical experience spanning over thirty years to look at the issues and problems around the role of the father in clinical work with a range of patients, spanning from classical psychoanalytic thinking to fiction, myth, and iconography. These multifaceted approaches allow us to explore the complexities of fatherhood for each unit of the family and to tease out both the problems and positives associated with fathers and fatherhood. Enriched with clinical vignettes, this book shares a new outlook on how patterns of manhood or personhood evolve over time and encourages the reader to not limit paternal function to sexual or cultural binaries.At a time when the role of men in society is ever more under debate, this book offers a fascinating and multi-faceted exploration of a key role for men and offers guidance to clinicians, and anyone interested in exploring the notion of fatherhood.
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The Learning Framework in Number - Robert J Wright, David Ellemor-Collins
This latest book in the bestselling Mathematics Recovery® series gives mathematics educators a complete research-based framework for assessment, instruction and intervention in whole number arithmetic across grades K to 5. The integrated set of classroom tools includes: Nine carefully designed schedules of assessment tasks Nine models of learning progressions Ten teaching maps that guide the instructional progressions across key topics The book offers guidance on innovative video-based assessment, and an overview of principles of intervention instruction, giving you an integrated resource for supporting the children you teach. The Learning Framework in Number will be a useful guide for all primary and elementary school classroom teachers and assistants, and specialist teachers, including experienced Mathematics Recovery® instructors. The book will also be of significant interest to teacher educators and researchers.
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Developing Grounded Theory - Kathy Charmaz, Juliet Corbin, Adele E. Clarke, Phyllis Noerager Stern, Janice M. Morse, Caroline Jane Porr, Barbara J. B
Developing Grounded Theory: The Second Generation Revisited is a highly accessible description of the rapid development of grounded theories and the latest developments in grounded theory methods.A succinct overview of the development of grounded theory is provided, including the similarities and differences between Glaserian and Straussian grounded theory. The method introduced by Schatzman, and the development of Charmaz’s constructivist grounded theory and Clarke’s situational analysis, are clearly presented. The book is divided into seven sections: each type of grounded theory is discussed by the developer (or their student), followed by a chapter describing a project that used that particular type of grounded theory. Bookending these chapters is the first chapter, which describes the development and landscape of grounded theory, and a final chapter describing the challenges to the future of grounded theory. This book is ideally suited for beginning students trying to come to grips with the field as well as more advanced researchers attempting to delineate the major types of grounded theory.
Objev podobné jako Developing Grounded Theory - Kathy Charmaz, Juliet Corbin, Adele E. Clarke, Phyllis Noerager Stern, Janice M. Morse, Caroline Jane Porr, Barbara J. B
Mirror To Damascus - Colin Thubron
A 50th anniversary edition of Colin Thubron''s celebrated first book, a portrait of Syria''s capital city, with a new introduction by the author.Described by the author as simply ''a work of love'', Mirror to Damascus provides a rich and fascinating history of Damascus from the Amorites of the Bible to the revolution of 1966, and is also a charming and witty personal record of an extraordinary city. In explaining how modern Damascus is rooted in immemorial layers of culture and tradition, Colin Thubron explores the historical, artistic, social and religious inheritance of its people. Along the way, he shares unforgettable stories about the enterprising travellers of bygone days. Mirror to Damascus is a unique portrait of a city now obscured by recent upheavals, by one of the most indefatigable and popular of travel writers.
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11 Explorations into Life on Earth - Dr Helen Scales
The second in a series of books in association with the Royal Institution on their world-renowned Christmas Lectures, this time exploring the secrets of the natural world – with a foreword by Sir David Attenborough.Following on from the success of 13 Journeys Through Space and Time, which took us on a voyage of astronomical discovery through past Christmas Lectures given at the Royal Institution on space and space exploration, this book turns our attention to our own planet and the animals, plants, fish, insects and all the other living things that inhabit it – how they’ve evolved and the vital roles they play in the intricate webs of life on earth.Taking eleven of the most exciting and revealing Christmas Lectures on the natural world given at the Royal Institution, including Sir David Attenborough’s animal-packed Lectures from 1977 and Richard Dawkins’s explosive series on the evolution of life, we take an illuminating look at more than a hundred years of scientific exploration to discover the origins of life on our planet and the mysteries so far uncovered.
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Quantum Geometry, Matrix Theory, and Gravity - Harold C. Steinacker
Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang–Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.
Objev podobné jako Quantum Geometry, Matrix Theory, and Gravity - Harold C. Steinacker
Homological Methods, Representation Theory, and Cluster Algebras
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study.The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (Centre International de Mathématiques Pures et Appliquées) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the ... Unknown localization key: "more"
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Teaching Number - Ann K Stafford, Robert J Wright, James Martland, Garry Stanger
The book lets teachers identify where their students are in terms of number skills, and sets out a strategy for developing their knowledge. The authors show how to advance children′s learning across five stages of early arithmetical learning - emergent, perceptual, figurative, initial number, and facile number. This provides for increasingly sophisticated number strategies across addition, subtraction, multiplication and division, as well as developing children′s number word and numeral knowledge, and their ability to structure number and have grouping strategies. The approach used nine guiding principles for teaching.Each chapter has clearly defined teaching procedures which show how to take the children onto the next more sophisticated stage. The teaching procedures are organized into key teaching topics, and each includes: a clearly defined purpose detailed instructions, activities, learning tasks and reinforcing games lists of responses which children may make application in whole class, small group and individualised settings a link to the Learning Framework in Number (see Early Numeracy- second edition, 2005) how the guiding principles for teaching can be used to allow teachers to evaluate and reflect upon their practicePrimary practitioners in Australia, the United States, the United Kingdom and Canada have tested the teaching procedures which can be used ... Unknown localization key: "more"
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The Little Book of String Theory - Steven S. Gubser
The essential beginner''s guide to string theoryThe Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you''ll be able to draw your own conclusions about string theory.Steve Gubser begins by explaining Einstein''s famous equation E = mc2, quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin''s Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book.The Little Book of String Theory is the essential, most ... Unknown localization key: "more"
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My Journeys in Economic Theory - Edmund Phelps
Edmund Phelps is among the most important economists of his generation. In this book, Phelps tells the story of his role in reshaping economic theory, offering a powerful personal account of a creative and rewarding career.
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Key Issues in Historical Theory - Paulette Kouffman Sherman
Key Issues in Historical Theory is a fresh, clear and well-grounded introduction to a vibrant field of inquiry. With examples from novels, music, journalism and politics, the book expertly engages the reader in discussions of what history is, how people relate to the past and how they are formed by the past.
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String Theory For Dummies - Andrew Zimmerman Jones, Alessandro Sfondrini
Unravel the secrets of the universe and untangle cutting-edge physics Yes, you actually can understand quantum physics! String Theory For Dummies is a beginner’s guide, and we make it fun to find out about the all the recent trends and theories in physics, including the basics of string theory, with friendly explanations. Build a foundation of physics knowledge, understand the various string theories and the math behind them, and hear what the opponents to string theory have to say. It’s an exciting time to be alive in advanced physics, and this updated edition covers what’s new in the string world—the Large Hadron Collider, the Higgs Boson, gravitational waves, and lots of other big headlines. Unleash your inner armchair physicist with String Theory For Dummies. Brush up on the basics of physics and the approachable math needed to understand string theoryMeet the scientists who discovered string theory and continue to make waves (and particles) in the physics worldUnderstand what it’s all about with real-world examples and explanationsLearn why string theory is called "The Theory of Everything"—and what it means for technology and the future Aspiring scientists or life-long learners will both be able to gain valuable information from this book. This ... Unknown localization key: "more"
Objev podobné jako String Theory For Dummies - Andrew Zimmerman Jones, Alessandro Sfondrini
Jazz Theory Workbook - Dariusz Terefenko
Jazz Theory Workbook accompanies the second edition of the successful Jazz Theory—From Basic to Advanced Study textbook designed for undergraduate and graduate students studying jazz. The overall pedagogy bridges theory and practice, combining theory, aural skills, keyboard skills, and improvisation into a comprehensive whole. While the Companion Website for the textbook features aural and play-along exercises, along with some written exercises and the answer key, this workbook contains brand-new written exercises, as well as as well as four appendices: (1) Rhythmic Exercises, (2) Common-Practice Harmony at the Keyboard, (3) Jazz Harmony at the Keyboard, and (4) Patterns for Jazz Improvisaton. Jazz Theory Workbook works in tandem with its associated textbook in the same format as the 27-chapter book, yet is also designed to be used on its own, providing students and readers with quick access to all relevant exercises without the need to download or print pages that inevitably must be written out. The workbook is sold both on its own as well as discounted in a package with the textbook. Jazz Theory Workbook particularly serves the ever-increasing population of classical students interested in jazz theory or improvisation.This WORKBOOK is available for individual sale in various formats:Print Paperback: 9781138334250Print Hardback: ... Unknown localization key: "more"
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Literary Theory: A Complete Introduction - Sara Upstone
Literary theory has now become integral to how we produce literary criticism. When critics write about a text, they no longer think just about the biographical or historical contexts of the work, but also about the different approaches that literary theory offers. By making use of these, they create new interpretations of the text that would not otherwise be possible. In your own reading and writing, literary theory fosters new avenues into the text. It allows you to make informed comments about the language and form of literature, but also about the core themes - concepts such as gender, sexuality, the self, race, and class - which a text might explore.Literary theory gives you an almost limitless number of texts to work into your own response, ensuring that your interpretation is truly original. This is why, although literary theory can initially appear alienating and difficult, it is something to get really excited about. Imagine you are standing in the centre of a circular room, with a whole set of doors laid out around you. Each doorway opens on to a new and illuminating field of knowledge that can change how you think about what you have read: perhaps in just ... Unknown localization key: "more"
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On the Origin of Time: Stephen Hawking´s final theory - Thomas Hertog
A new theory of the universe, twenty years in the making, by Stephen Hawking and his close collaborator Thomas Hertog.Perhaps the biggest question Stephen Hawking tried to answer in his extraordinary life was how the universe could have created conditions so perfectly hospitable to life.Pondering this mystery led Hawking to study the big bang origin of the universe, but his early work ran into a crisis when the maths predicted many big bangs producing a multiverse - countless different universes, most of which were far too bizarre to harbour life.Holed up in the theoretical physics department at Cambridge, Stephen Hawking and his friend and collaborator Thomas Hertog worked shoulder to shoulder for twenty years on a new quantum theory of the cosmos. As their discoveries took them deeper into the big bang, they were startled to find a deeper level of evolution in which the physical laws themselves transform and simplify until particles, forces, and even time itself fades away. Once upon a time, perhaps, there was no time. This led them to a revolutionary idea: the laws of physics are not set in stone but are born and co-evolve as the universe they govern takes shape.On the Origin of ... Unknown localization key: "more"
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The Attachment Theory Workbook - Annie Chen
Build stronger relationships with strategies grounded in attachment theory Attachment theory explores the different ways we develop connections with others. If you''re searching for a way to create stronger, healthier, and more authentic relationships with the people you love, The Attachment Theory Workbook can help. It''s your guide to understanding your own attachment style and exploring actionable exercises to improve honesty, intimacy, and communication with your partner, family, or close friends. This workbook offers: The basics of attachment theory—Find a comprehensive overview of the Anxious, Avoidant, and Secure attachment styles, with self-assessments that help you understand which ones apply to you. Active strategies for healing—Develop your relationship skills with exercises like listing what you love about someone, and answering questions about how hypothetical scenarios make you feel. For yourself and others—This expert advice helps you explore your own attachment style as well as identify the attachment style of others, so you can better understand their perspective. Lay the foundation for strong and lasting relationships with The Attachment Theory Workbook.
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Music Theory 101 - Brian Boone, Marc Schonbrun
Learn the basics of music theory in this comprehensive and easy-to-understand guide.From classical to hard rock, and jazz to hip hop, music is constantly evolving, but many of the basics have stayed the same. Understanding these basics is key to becoming a successful musician and well-rounded music lover. Music Theory 101 covers everything novice musicians and lifelong learners need to know, including: -How to read sheet music -Understanding the construction of chords and scales -The different rhythm and time signatures -How keys are identified and organized Full of music trivia, music history, comprehensive instruction, and visual aids of scales, music symbols, and chords throughout, Music Theory 101 is the essential guide you need for a crash course in music theory that even professional musicians would envy.
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Processability Theory - Anke Lenzing, Manfred Pienemann
Processability theory (PT) is a psycholinguistic theory of second language acquisition. The theory builds on the fundamental assumption that learners can acquire only those linguistic forms and functions which they can process. Therefore, PT is based on the architecture of the human language processor. Processability theory is implemented in a theory of grammar that is compatible with the basic design of the language processor. This Element gives a concise introduction to the psycholinguistic core of PT – showing that PT offers an explanation of language development and variation based on processing constraints that are specified for typologically different languages and that apply to first and second language acquisition, albeit in different ways. They also delineate transfer from the first language and the effect of formal intervention. This Element also covers the main branches of research in the PT framework and provides an introduction to the methodology used in PT-based research.
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Introduction to Einstein’s Theory of Relativity - Øyvind Grøn
The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms.Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the ''gravitational field'' in Einstein''s theory, and some new material concerning the ''twin paradox'' in the theory of relativity.Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations.Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.
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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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Vulnerability Theory and the Trinity Lectures - Martha Albertson Fineman
Vulnerability theory offers an alternative to social-contract and rights-based paradigms. Beginning with the corporeal body, the theory argues we are inevitably and constantly dependent on social institutions that are generated (and ideally monitored) through law. Accordingly, vulnerability theory argues for a state attentive to the needs of the universally 'vulnerable subject'. Based on lectures at Trinity College Dublin that focused on four foundational concepts, this book highlights how vulnerability theory differs from individualistic liberal frameworks. Calling for a reorientation of law toward a collective responsibility-based approach, it is essential reading for anyone interested in political theory, social justice, and sociolegal scholarship.
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Theory & Practice - Michelle de Kretser
WINNER OF THE STELLA PRIZE FOR FICTION 2025''The most thrilling fiction of the year ... an absolute triumph'' Catherine Taylor, Financial Times''A genre-busting inquiry into life and art, youth and Virginia Woolf'' Guardian, Books to Look Forward to 2025''I loved Theory & Practice ... raw, funny, truthful, youthful'' Tessa Hadley''Michelle de Kretser is to my mind one of the finest writers alive and Theory & Practice a lightning strike of a book'' Ali SmithIt''s 1986, and ''beautiful, radical ideas'' are in the air. A young woman arrives in Melbourne to research the novels of Virginia Woolf. In bohemian St Kilda, she meets artists, activists, students - and Kit. He claims to be in a ''deconstructed'' relationship, and they become lovers. Meanwhile, a dismaying discovery throws her work on ''the Woolfmother'' into disarray. Theory & Practice is a mesmerising account of desire and jealousy, truth and shame. It makes and unmakes fiction as we read, expanding our notion of what a novel can contain. Michelle de Kretser, one of Australia''s most celebrated writers, bends fiction, essay and memoir into exhilarating new shapes to uncover what happens when life smashes through the boundaries of art.
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A Very Short, Fairly Interesting and Reasonably Cheap Book about Management Theory - Cummings Stephen, Todd Bridgman
Conceived by Chris Grey, the Very Short, Fairly Interesting and Reasonably Cheap series offers an antidote to conventional textbooks. Each book takes a core area of the curriculum and turns it on its head by providing a critical and sophisticated overview of the key issues and debates in an informal, conversational and often humorous way. In Management Theory, Todd Bridgman and Stephen Cummings uncover enduring myths about famous theorists, from Adam Smith and Max Weber to Frederick Taylor, Mary Parker Follett, Abraham Maslow and Kurt Lewin. By exploring how these myths became cast as the foundations of management, this accessible and engaging book generates new ways of thinking about what management could be today and in the future. Students can head to YouTube to watch a selection of specially-curated, bitesize videos - 20 Insights on Management Theory - which explain key topics relating to management theory. Lecturers can visit https://study.sagepub.com/bridgman to access a range of PowerPoint slides that can be used in their teaching.Â
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Archaeology - Paul Bahn, Colin Renfrew
'As indispensable to an archaeology student as a trowel ... every student, or indeed any interested amateur, should really find a space on their shelf for this useful book’ Minerva Known for being an accessible and authoritative introduction, Archaeology: Theories, Methods and Practice has been updated in the Ninth Edition to include new discoveries in archaeology, innovations in field and laboratory methods, as well as covering the latest developments in archaeological theory, from ontologies to Indigenous archaeology. Collaborating with Colin Renfrew and Paul Bahn, new co-author, Elizabeth DeMarrais, updates earlier editions’ clear presentation of archaeology’s history, theory and ethics. The contributions made by women, people of colour, and Indigenous communities to the study of the human past are highlighted. New theoretical sections address Indigenous archaeology, ontology, post-colonial theory and historical archaeology. Sections on the safeguarding of intangible cultural heritage and the changing role of museums are included. The Ninth Edition includes broader coverage of approaches to identity, ethnicity, and the archaeology of the modern world.
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