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The William Lowell Putnam Mathematical Competition 1985-2000

Author: Kiran Sridhara Kedlaya

Publisher: MAA

Published: 2002

Total Pages: 360

ISBN-13: 9780883858073

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.

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary

Author: Kiran S. Kedlaya

Publisher: American Mathematical Soc.

Published: 2020-01-16

Total Pages: 337

ISBN-13: 1470451247

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The William Lowell Putnam Mathematical Competition

Author: Gerald L. Alexanderson

Publisher: Cambridge University Press

Published: 2003

Total Pages: 164

ISBN-13: 9780883854631

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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 Problems and Solutions

Author: Andrew M. Gleason

Publisher: MAA

Published: 1980

Total Pages: 668

ISBN-13: 9780883854624

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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.

Putnam and Beyond

Author: Răzvan Gelca

Publisher: Springer

Published: 2017-09-19

Total Pages: 857

ISBN-13: 3319589881

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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 2001-2016

Author: Kiran Sridhara Kedlaya

Publisher: MAA Press

Published: 2020

Total Pages: 363

ISBN-13: 9781470462604

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The William Lowell Putnam Mathematics Competition is the most prestigious undergraduate mathematics problem-solving contest in North America, with thousands of students taking part every year. This volume presents the contest problems for the years 2001-2016. The heart of the book is the solutions; these include multiple approaches, drawn from many sources, plus insights into navigating from the problem statement to a solution. There is also a section of hints, to encourage readers to engage deeply with the problems before consulting the solutions.The authors have a distinguished history of en.

The Cauchy-Schwarz Master Class

Author: J. Michael Steele

Publisher: Cambridge University Press

Published: 2004-04-26

Total Pages: 320

ISBN-13: 9780521546775

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This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.

D.H. Lawrence and Germany

Author: Carl Krockel

Publisher: BRILL

Published: 2007-01-01

Total Pages: 343

ISBN-13: 9401203776

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D. H. Lawrence has suffered criticism for the emotional excess of his language, and for a suspected leaning towards right-wing politics. This book contextualises his style and political values in German culture, especially its Romantic tradition which has been subjected to the same criticism as himself. In his writing Lawrence struggles between opposing German cultural elements from thee eighteenth century onwards, to dramatise the conflicts in Modern European culture and history in the first half of the Twentieth century. The book demonstrates how his failures are integral to his achievements, and how the self-contradictory nature of his art is actually its saving grace. This volume surveys the whole span of Lawrence’s career; it is intended for both students and teachers of the author, and for those interested in the cross cultural relations of European Modernism. Previous studies have tended to outline references in Lawrence’s work to Germany without focusing on the historical, cultural and ideological issues at stake. These issues are the subject of this book.

Bond: English: No Nonsense

Author: Frances Orchard

Publisher: Bond

Published: 2015-03-05

Total Pages: 0

ISBN-13: 9780192740397

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Bond is the number 1 provider of 11+ practice, helping millions of children improve their literacy and numeracy skills. Bond No Nonsense English for 5-6 year-olds provides clear, straightforward exercises to help boost your child's confidence and ability in English. Divided into separate sections that cover each key skill, this book establishes strong foundations in core English, supporting and reinforcing school learning, and setting children on the rightpath for 11+, SATs and Common Entrance test success.

Conversational Problem Solving

Author: Richard P. Stanley

Publisher: American Mathematical Soc.

Published: 2020-05-11

Total Pages: 178

ISBN-13: 1470456354

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This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math Olympiads and Putnam Competition. The format is a dialogue between a professor and eight students in a summer problem solving camp and allows for a conversational approach to the problems as well as some mathematical humor and a few nonmathematical digressions. The problems have been selected for their entertainment value, elegance, trickiness, and unexpectedness, and have a wide range of difficulty, from trivial to horrendous. They range over a wide variety of topics including combinatorics, algebra, probability, geometry, and set theory. Most of the problems have not appeared before in a problem or expository format. A Notes section at the end of the book gives historical information and references.