The Art of Proving Binomial Identities PDF Download
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Author: Michael Z. Spivey
Publisher: CRC Press
ISBN: 1351215809
Category : Mathematics
Languages : en
Pages : 277
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Book Description
The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.
Author: Michael Z. Spivey
Publisher: CRC Press
ISBN: 1351215809
Category : Mathematics
Languages : en
Pages : 277
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Book Description
The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.
Author: Kenneth Allan
Publisher: Pine Forge Press
ISBN: 1412978122
Category : Social Science
Languages : en
Pages : 473
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Book Description
Explorations in Classical Sociological Theory: Seeing the Social World, Second Edition is an undergraduate sociological theory textbook that introduces the student to the major classical theorists, including Marx, Spencer, Durkheim, Weber, Simmel, Mead, Schutz, Gilman, and Du Bois. The theorists were chosen for the diversity of their perspectives as well as their ability to introduce the student to contemporary theory. Kenneth Allan uses a lively informative writing style to engage the students in the eras of social change that spawned the major sociological theories and then applies them to the current era, which also is experiencing major social change. Features and benefits: · The book includes a glossary of terms. Each of the theorist’s important concepts are highlighted in the text and clear definitions provided in the glossary. This feature is particularly important because theory is made up of terms and concepts and without the use of a glossary, it is very easy for the undergraduate theory student to lose track of the terms and meanings. · While the book is organized primarily around the individual theorist’s perspective, a categorical scheme is also provided so the student can roughly situate the theorists and decide for themselves some of sociology’s big questions. The scheme provided in the book is not the one usually used by textbooks. The more commonly used scheme (conflict, functional, interaction) hides some really important questions that the student needs to consider (for example, is society an object or does it exist only through interpretations?). · The book provides an appendix with complete definitions of most of sociology’s major "perspectives" e.g., critical theory (including feminism, race, and queer theory, postmodernism, and so on), exchange theory, rational choice theory, dramaturgy, ethnomethodology, structuration, network theory, ecological theory, social phenomenology, and so on. · The book introduces the power and poetry of theory by extensive use of original source material from the theorists writings.
Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 32
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Book Description
Author: Margaret Wetherell
Publisher: SAGE
ISBN: 1446248372
Category : Psychology
Languages : en
Pages : 561
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Book Description
Overall, its breaking of disciplinary isolation, enhancing of mutual understanding, and laying out of a transdisciplinary platform makes this Handbook a milestone in identity studies. - Sociology Increasingly, identities are the site for interdisciplinary initiatives and identity research is at the heart of many transdisciplinary research centres around the world. No single social science discipline ′owns′ identity research which makes it a difficult topic to categorize. The SAGE Handbook of Identities systematizes this complex field by incorporating its interdisciplinary character to provide a comprehensive overview of its themes in contemporary research while still acknowledging the historical and philosophical significance of the concept of identity. Drawing on a global scholarship the Handbook has four parts: Frameworks: presents the main theoretical and methodological perspectives in identities research. Formations: covers the major formative forces for identities such as culture, globalisation, migratory patterns, biology and so on. Categories: reviews research on the core social categories central to identity such as ethnicity, gender, sexuality, disability and intersections between these. Sites and Context: develops a series of case studies of crucial sites and contexts where identity is at stake such as social movements, relationships, work-places and citizenship.
Author: George Pólya
Publisher: Princeton University Press
ISBN: 069116407X
Category : Mathematics
Languages : en
Pages : 288
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Book Description
"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.
Author:
Publisher:
ISBN:
Category : Gender identity
Languages : en
Pages : 0
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Book Description
Author: Professor Emeritus of Psychology Richard M Ryan
Publisher: Oxford University Press
ISBN: 0197600042
Category : Autonomy (Psychology)
Languages : en
Pages : 1249
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Book Description
"Self-determination theory (SDT) represents a comprehensive framework for the study of human motivation, personality development and wellness as evidenced by the breadth and variety of chapters in this handbook. In introducing this collection, we review the basic assumptions, philosophy of science, methods, and mission of SDT. We also provide a brief history of SDT, linking various developments within the theory to the contributions found in this volume. Finally, we attempt to place SDT within the landscape of past and contemporary theoretical psychology, as well as modern historical and cultural developments, in part explaining the continued growth of SDT's basic research and real-world applications"--
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3642008569
Category : Mathematics
Languages : en
Pages : 265
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Book Description
PaulErdos ? likedtotalkaboutTheBook,inwhichGodmaintainstheperfect proofsformathematicaltheorems,followingthedictumofG. H. Hardythat there is no permanent place for ugly mathematics. Erdos ? also said that you need not believe in God but, as a mathematician, you should believe in The Book. A few years ago, we suggested to him to write up a ?rst (and very modest) approximation to The Book. He was enthusiastic about the idea and, characteristically, went to work immediately, ?lling page after page with his suggestions. Our book was supposed to appear in March 1998 as a present to Erdos ? ’ 85th birthday. With Paul’s unfortunate death in the summer of 1996, he is not listed as a co-author. Instead this book is dedicated to his memory. ? Paul Erdos We have no de?nition or characterization of what constitutes a proof from The Book: all we offer here is the examples that we have selected, h- ing that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations. We also hope that our readers will enjoy this despite the imperfections of our exposition. The selection is to a ? great extent in?uencedby Paul Erdos himself. A largenumberof the topics were suggested by him, and many of the proofs trace directly back to him, or were initiated by his supreme insight in asking the right question or in makingthe rightconjecture. So to a largeextentthisbookre?ectstheviews of Paul Erdos ? as to what should be considered a proof from The Book.
Author:
Publisher: Elsevier
ISBN: 0080449107
Category : Social Science
Languages : en
Pages : 10985
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Book Description
The International Encyclopedia of Human Geography provides an authoritative and comprehensive source of information on the discipline of human geography and its constituent, and related, subject areas. The encyclopedia includes over 1,000 detailed entries on philosophy and theory, key concepts, methods and practices, biographies of notable geographers, and geographical thought and praxis in different parts of the world. This groundbreaking project covers every field of human geography and the discipline’s relationships to other disciplines, and is global in scope, involving an international set of contributors. Given its broad, inclusive scope and unique online accessibility, it is anticipated that the International Encyclopedia of Human Geography will become the major reference work for the discipline over the coming decades. The Encyclopedia will be available in both limited edition print and online via ScienceDirect – featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit http://info.sciencedirect.com/content/books/ref_works/coming/ Available online on ScienceDirect and in limited edition print format Broad, interdisciplinary coverage across human geography: Philosophy, Methods, People, Social/Cultural, Political, Economic, Development, Health, Cartography, Urban, Historical, Regional Comprehensive and unique - the first of its kind in human geography
Author: Jay P. Abramson
Publisher:
ISBN: 9781506698120
Category : Open educational resources
Languages : en
Pages : 0
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Book Description
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.
