Putnam And Beyond

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Putnam and Beyond

Author : Răzvan Gelca
Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

The William Lowell Putnam Mathematical Competition

Author : Gerald L. Alexanderson
Publisher : Cambridge University Press
ISBN 13 : 9780883854631
Total Pages : 164 pages
Book Rating : 4.8/5 (546 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition by : Gerald L. Alexanderson

Download or read book The William Lowell Putnam Mathematical Competition written by Gerald L. Alexanderson and published by Cambridge University Press. This book was released on 2003 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Putnam Competition has since 1928 been providing a challenge to gifted college mathematics students. This book, the second of the Putnam Competition volumes, contains problems with their solutions for the years 1965-1984. Additional solutions are presented for many of the problems. Included is an essay on recollections of the first Putnam Exam by Herbert Robbins, as well as appendices listing the winning teams and students from 1965 through 1984. This volume offers the problem solver an enticing sample of challenging problems and their solutions. In 1980, the MAA published the first William Lowell Putnam Mathematical Competition book, covering the contest from 1938 to 1964. In 2002 the third of the Putnam problem books appeared, covering the years 1985 through 2000. All three of these books belong on the bookshelf of students, teachers, and all interested in problem solving.

The William Lowell Putnam Mathematical Competition 1985-2000

Author : Kiran Sridhara Kedlaya
Publisher : MAA
ISBN 13 : 9780883858073
Total Pages : 360 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 1985-2000 by : Kiran Sridhara Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 1985-2000 written by Kiran Sridhara Kedlaya and published by MAA. This book was released on 2002 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

Our Kids

Author : Robert D. Putnam
Publisher : Simon and Schuster
ISBN 13 : 1476769907
Total Pages : 400 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis Our Kids by : Robert D. Putnam

Download or read book Our Kids written by Robert D. Putnam and published by Simon and Schuster. This book was released on 2016-03-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The bestselling author of Bowling Alone offers [an] ... examination of the American Dream in crisis--how and why opportunities for upward mobility are diminishing, jeopardizing the prospects of an ever larger segment of Americans"--

Sums and Products

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780999342817
Total Pages : 340 pages
Book Rating : 4.3/5 (428 download)

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Book Synopsis Sums and Products by : Titu Andreescu

Download or read book Sums and Products written by Titu Andreescu and published by . This book was released on 2018-04 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bowling Alone: Revised and Updated

Author : Robert D. Putnam
Publisher : Simon & Schuster
ISBN 13 : 1982130849
Total Pages : 592 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Bowling Alone: Revised and Updated by : Robert D. Putnam

Download or read book Bowling Alone: Revised and Updated written by Robert D. Putnam and published by Simon & Schuster. This book was released on 2020-10-13 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated to include a new chapter about the influence of social media and the Internet—the 20th anniversary edition of Bowling Alone remains a seminal work of social analysis, and its examination of what happened to our sense of community remains more relevant than ever in today’s fractured America. Twenty years, ago, Robert D. Putnam made a seemingly simple observation: once we bowled in leagues, usually after work; but no longer. This seemingly small phenomenon symbolized a significant social change that became the basis of the acclaimed bestseller, Bowling Alone, which The Washington Post called “a very important book” and Putnam, “the de Tocqueville of our generation.” Bowling Alone surveyed in detail Americans’ changing behavior over the decades, showing how we had become increasingly disconnected from family, friends, neighbors, and social structures, whether it’s with the PTA, church, clubs, political parties, or bowling leagues. In the revised edition of his classic work, Putnam shows how our shrinking access to the “social capital” that is the reward of communal activity and community sharing still poses a serious threat to our civic and personal health, and how these consequences have a new resonance for our divided country today. He includes critical new material on the pervasive influence of social media and the internet, which has introduced previously unthinkable opportunities for social connection—as well as unprecedented levels of alienation and isolation. At the time of its publication, Putnam’s then-groundbreaking work showed how social bonds are the most powerful predictor of life satisfaction, and how the loss of social capital is felt in critical ways, acting as a strong predictor of crime rates and other measures of neighborhood quality of life, and affecting our health in other ways. While the ways in which we connect, or become disconnected, have changed over the decades, his central argument remains as powerful and urgent as ever: mending our frayed social capital is key to preserving the very fabric of our society.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 352 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Problem-Solving Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 403 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

George Palmer Putnam

Author : Ezra Greenspan
Publisher : Penn State Press
ISBN 13 : 9780271020051
Total Pages : 540 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis George Palmer Putnam by : Ezra Greenspan

Download or read book George Palmer Putnam written by Ezra Greenspan and published by Penn State Press. This book was released on 2000 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There are many books viewing the world through the eyes of politicians. This is an exciting book that views nineteenth-century America through the eyes of one of its most important publishers, George Palmer Putman. Putnam's publisher's eyes are amazing lenses because of his total involvement and patronage of the leading authors of his time. He toiled to give their voices greater exposure to the world". -- Patricia Schroeder, President & CEO, Association of American Publishers Inc.

The William Lowell Putnam Mathematical Competition Problems and Solutions

Author : Andrew M. Gleason
Publisher : MAA
ISBN 13 : 9780883854624
Total Pages : 668 pages
Book Rating : 4.8/5 (546 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition Problems and Solutions by : Andrew M. Gleason

Download or read book The William Lowell Putnam Mathematical Competition Problems and Solutions written by Andrew M. Gleason and published by MAA. This book was released on 1980 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions.

Representation and Reality

Author : Hilary Putnam
Publisher : MIT Press
ISBN 13 : 9780262660747
Total Pages : 166 pages
Book Rating : 4.6/5 (67 download)

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Book Synopsis Representation and Reality by : Hilary Putnam

Download or read book Representation and Reality written by Hilary Putnam and published by MIT Press. This book was released on 1988 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, one of the first philosophers to advance the notion that the computer is an apt model for the mind, takes a radical view of his own theory of functionalism in this book.

Introduction to Functional Equations

Author : Costas Efthimiou
Publisher : American Mathematical Soc.
ISBN 13 : 0821853147
Total Pages : 381 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Functional Equations by : Costas Efthimiou

Download or read book Introduction to Functional Equations written by Costas Efthimiou and published by American Mathematical Soc.. This book was released on 2011-10-13 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Geometry: Euclid and Beyond

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

The Company They Kept

Author : Lara Putnam
Publisher : Univ of North Carolina Press
ISBN 13 : 9780807862230
Total Pages : 320 pages
Book Rating : 4.8/5 (622 download)

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Book Synopsis The Company They Kept by : Lara Putnam

Download or read book The Company They Kept written by Lara Putnam and published by Univ of North Carolina Press. This book was released on 2003-11-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late nineteenth century, migrants from Jamaica, Colombia, Barbados, and beyond poured into Caribbean Central America, building railroads, digging canals, selling meals, and farming homesteads. On the rain-forested shores of Costa Rica, U.S. entrepreneurs and others established vast banana plantations. Over the next half-century, short-lived export booms drew tens of thousands of migrants to the region. In Port Limon, birthplace of the United Fruit Company, a single building might house a Russian seamstress, a Martinican madam, a Cuban doctor, and a Chinese barkeep--together with stevedores, laundresses, and laborers from across the Caribbean. Tracing the changing contours of gender, kinship, and community in Costa Rica's plantation region, Lara Putnam explores new questions about the work of caring for children and men and how it fit into the export economy, the role of kinship as well as cash in structuring labor, the social networks that shaped migrants' lives, and the impact of ideas about race and sex on the exercise of power. Based on sources that range from handwritten autobiographies to judicial transcripts and addressing topics from intimacy between prostitutes to insults between neighbors, the book illuminates the connections between political economy, popular culture, and everyday life.

Hilary Putnam

Author : Maximilian De Gaynesford
Publisher : Routledge
ISBN 13 : 1317494091
Total Pages : 248 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Hilary Putnam by : Maximilian De Gaynesford

Download or read book Hilary Putnam written by Maximilian De Gaynesford and published by Routledge. This book was released on 2014-12-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Putnam is one of the most influential philosophers of recent times, and his authority stretches far beyond the confines of the discipline. However, there is a considerable challenge in presenting his work both accurately and accessibly. This is due to the width and diversity of his published writings and to his frequent spells of radical re-thinking. But if we are to understand how and why philosophy is developing as it is, we need to attend to Putnam's whole career. He has had a dramatic influence on theories of meaning, semantic content, and the nature of mental phenomena, on interpretations of quantum mechanics, theory-change, logic and mathematics, and on what shape we should desire for future philosophy. By presenting the whole of his career within its historical context, de Gaynesford discovers a basic unity in his work, achieved through repeated engagements with a small set of hard problems. By foregrounding this integrity, the book offers an account of his philosophy that is both true to Putnam and helpful to readers of his work.

Beyond Justice

Author : Cara C. Putman
Publisher : Thomas Nelson
ISBN 13 : 0718083490
Total Pages : 352 pages
Book Rating : 4.7/5 (18 download)

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Book Synopsis Beyond Justice by : Cara C. Putman

Download or read book Beyond Justice written by Cara C. Putman and published by Thomas Nelson. This book was released on 2017-04-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hayden is on track to become the youngest partner in her prestigious DC law firm . . . If the case she’s just been handed doesn’t destroy her first. Hayden McCarthy knows firsthand the pain that follows when justice is not served. It’s why she became an attorney and why she’s so driven in her career. When she’s assigned a wrongful death case against the government, she isn’t sure if it’s the lucky break she needs to secure a partnership—or an attempt to make sure she never gets there. Further complicating matters is Andrew Wesley, her roommate’s distractingly attractive cousin. But Andrew’s father is a congressman, and Hayden’s currently taking on the government. Could the timing be any worse? The longer she keeps the case active, the higher the stakes become. Unknown enemies seem determined to kill the case—or her. Logic and self-preservation indicate she should close the case. But how can she, when justice is still just beyond her reach?

Philosophy of Mathematics

Author : Paul Benacerraf
Publisher : Cambridge University Press
ISBN 13 : 1107268133
Total Pages : pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Philosophy of Mathematics by : Paul Benacerraf

Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.