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 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.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 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 322 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.

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:

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"--

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 Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 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 404 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.

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.

102 Combinatorial Problems

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817682228
Total Pages : 125 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 102 Combinatorial Problems by : Titu Andreescu

Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Mathematical Olympiad Treasures

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817682538
Total Pages : 256 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Olympiad Treasures by : Titu Andreescu

Download or read book Mathematical Olympiad Treasures written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

The Upswing

Author : Robert D. Putnam
Publisher : Simon & Schuster
ISBN 13 : 198212914X
Total Pages : 480 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis The Upswing by : Robert D. Putnam

Download or read book The Upswing written by Robert D. Putnam and published by Simon & Schuster. This book was released on 2020-10-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the author of Bowling Alone and Our Kids, a “sweeping yet remarkably accessible” (The Wall Street Journal) analysis that “offers superb, often counterintuitive insights” (The New York Times) to demonstrate how we have gone from an individualistic “I” society to a more communitarian “We” society and then back again, and how we can learn from that experience to become a stronger, more unified nation. Deep and accelerating inequality; unprecedented political polarization; vitriolic public discourse; a fraying social fabric; public and private narcissism—Americans today seem to agree on only one thing: This is the worst of times. But we’ve been here before. During the Gilded Age of the late 1800s, America was highly individualistic, starkly unequal, fiercely polarized, and deeply fragmented, just as it is today. However as the twentieth century opened, America became—slowly, unevenly, but steadily—more egalitarian, more cooperative, more generous; a society on the upswing, more focused on our responsibilities to one another and less focused on our narrower self-interest. Sometime during the 1960s, however, these trends reversed, leaving us in today’s disarray. In a sweeping overview of more than a century of history, drawing on his inimitable combination of statistical analysis and storytelling, Robert Putnam analyzes a remarkable confluence of trends that brought us from an “I” society to a “We” society and then back again. He draws inspiring lessons for our time from an earlier era, when a dedicated group of reformers righted the ship, putting us on a path to becoming a society once again based on community. Engaging, revelatory, and timely, this is Putnam’s most ambitious work yet, a fitting capstone to a brilliant career.

Philosophy of Mathematics

Author : Paul Benacerraf
Publisher : Cambridge University Press
ISBN 13 : 1107268133
Total Pages : 604 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 604 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.

Delusional Altruism

Author : Kris Putnam-Walkerly
Publisher : John Wiley & Sons
ISBN 13 : 1119606063
Total Pages : 272 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Delusional Altruism by : Kris Putnam-Walkerly

Download or read book Delusional Altruism written by Kris Putnam-Walkerly and published by John Wiley & Sons. This book was released on 2020-03-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: How you give matters. Discover philanthropic strategies for creating transformational change. Whether you regularly donate to charity, run a small family foundation, or are responsible for millions of dollars in grants, you are a philanthropist. Delusional Altruism: Why Philanthropists Fail To Achieve Change and What They Can Do To Transform Giving looks at how you can create transformational change. It reminds us that how we give is as important as the amount we give. The author describes common practices that hinder transformational change and explains how to avoid them, ensuring that your gifts help create the impact you seek. Delusional Altruism—a set of all-too-common errors in philanthropic strategy—can derail a program of giving and result in a loss of efficiency and effectiveness. This book asks philanthropists and charitable organizations to consider whether they have fallen under the spell of Delusional Altruism. Are you cutting out impactful giving in order to save money or avoid uncertainty? Is your philanthropic approach unnecessarily restricted by traditional thinking? This book will help you answer these questions and determine how you can achieve better outcomes through the process of Transformational Giving. Ask questions that spur learning and fuel innovation Believe that investment in yourself and your operation is important Increase the speed of your actions to increase the impact of your giving Give in ways that create lasting, sustainable change Follow strategies to make your philanthropy unstoppable Although enhanced opportunities for philanthropic giving are on the horizon, changes to philanthropic practice are needed to prevent this philanthropy boom from becoming under-leveraged. Implementing updated approaches now can lead to positive change for the future. Read Delusional Altruism to learn how you can transform reality with strategic giving.

The Company They Kept

Author : Lara Putnam
Publisher : Univ of North Carolina Press
ISBN 13 : 0807862231
Total Pages : 315 pages
Book Rating : 4.8/5 (78 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 315 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.

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?

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

George Palmer Putnam

Author : Ezra Greenspan
Publisher : Penn State University Press
ISBN 13 : 9780271028057
Total Pages : 528 pages
Book Rating : 4.0/5 (28 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 University Press. This book was released on 2008-01-31 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: ?