The William Lowell Putnam Mathematical Competition Problems And Solutions

Author : Gerald L. Alexanderson,Leonard F. Klosinski,Loren C. Larson
Publisher : Cambridge University Press
Page : 164 pages
File Size : 53,8 Mb
Release : 2003
Category : Education
ISBN : 0883854635

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The William Lowell Putnam Mathematical Competition by Gerald L. Alexanderson,Leonard F. Klosinski,Loren C. Larson Pdf

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.

Author : Kiran Sridhara Kedlaya,Bjorn Poonen,Ravi Vakil
Publisher : MAA
Page : 360 pages
File Size : 55,7 Mb
Release : 2002
Category : Mathematics
ISBN : 088385807X

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The William Lowell Putnam Mathematical Competition 1985-2000 by Kiran Sridhara Kedlaya,Bjorn Poonen,Ravi Vakil Pdf

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.

Author : Kiran Sridhara Kedlaya,Daniel M. Kane,Jonathan Michael Kane,Evan M. O'Dorney
Publisher : MAA Press
Page : 363 pages
File Size : 45,7 Mb
Release : 2020
Category : Electronic books
ISBN : 1470462605

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The William Lowell Putnam Mathematical Competition 2001-2016 by Kiran Sridhara Kedlaya,Daniel M. Kane,Jonathan Michael Kane,Evan M. O'Dorney Pdf

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.

Author : Andrew M. Gleason
Publisher : MAA
Page : 668 pages
File Size : 55,5 Mb
Release : 1980
Category : Mathematics
ISBN : 0883854627

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The William Lowell Putnam Mathematical Competition Problems and Solutions by Andrew M. Gleason Pdf

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.

Author : Andrew M. Gleason,R. E. Greenwood,Leroy Milton Kelly
Publisher : Mathematical Association of America (MAA)
Page : 678 pages
File Size : 55,9 Mb
Release : 1980
Category : Mathematics
ISBN : UOM:49015001026021

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The William Lowell Putnam Mathematical Competition Problems and Solutions by Andrew M. Gleason,R. E. Greenwood,Leroy Milton Kelly Pdf

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. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L. E. Bush, L. J. Mordell, and L. M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.--Back cover.

Author : A. M. Gleason, R. E. Greenwood,L. M. Kelly
Publisher : American Mathematical Soc.
Page : 652 pages
File Size : 49,7 Mb
Release : 2019-07-24
Category : Electronic
ISBN : 9781470451226

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The William Lowell Putnam Mathematical Competition by A. M. Gleason, R. E. Greenwood,L. M. Kelly Pdf

Back by popular demand, we are 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. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L. E. Bush, L. J. Mordell, and L. M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.

Author : A. M. Gleason
Publisher : Unknown
Page : 52 pages
File Size : 51,9 Mb
Release : 1938
Category : Mathematics
ISBN : OCLC:749001250

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The William Lowell Putnam Mathematical Competition by A. M. Gleason Pdf

Author : Răzvan Gelca,Titu Andreescu
Publisher : Springer
Page : 857 pages
File Size : 40,8 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9783319589886

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Putnam and Beyond by Răzvan Gelca,Titu Andreescu Pdf

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.

Author : Kiran S. Kedlaya,Daniel M. Kane,Jonathan M. Kane,Evan M. O’Dorney
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 55,6 Mb
Release : 2020-11-05
Category : Education
ISBN : 9781470454272

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The William Lowell Putnam Mathematical Competition 2001–2016: Problems, Solutions, and Commentary by Kiran S. Kedlaya,Daniel M. Kane,Jonathan M. Kane,Evan M. O’Dorney Pdf

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 engagement with, and preparation of students for, the Putnam and other mathematical competitions. Collectively they have been named Putnam Fellow (top five finisher) ten times. Kiran Kedlaya also maintains the online Putnam Archive.

Author : Kiran S. Kedlaya,Bjorn Poonen,Ravi Vakil
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 45,9 Mb
Release : 2020-01-16
Category : Education
ISBN : 9781470451240

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The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary by Kiran S. Kedlaya,Bjorn Poonen,Ravi Vakil Pdf

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.

Author : A. M. GLEASON;R. E. GREENWOOD;L. M. KELLY.,A. M. Gleason
Publisher : Unknown
Page : 666 pages
File Size : 51,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 1470451239

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The William Lowell Putnam Mathematical Competition by A. M. GLEASON;R. E. GREENWOOD;L. M. KELLY.,A. M. Gleason Pdf

Back by popular demand, we are 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. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more.

Author : Titu Andreescu,Zuming Feng
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 45,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9780817681548

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A Path to Combinatorics for Undergraduates by Titu Andreescu,Zuming Feng Pdf

This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques. The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well. "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.

Author : Daniel D. Bonar,Michael J. Khoury Jr.
Publisher : American Mathematical Soc.
Page : 261 pages
File Size : 52,8 Mb
Release : 2018-12-12
Category : Electronic
ISBN : 9781470447823

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Real Infinite Series by Daniel D. Bonar,Michael J. Khoury Jr. Pdf

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.

Author : J. Michael Steele
Publisher : Cambridge University Press
Page : 320 pages
File Size : 45,7 Mb
Release : 2004-04-26
Category : Mathematics
ISBN : 052154677X

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The Cauchy-Schwarz Master Class by J. Michael Steele Pdf

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.

Author : John Grant McLoughlin,Joseph Khoury,Bruce Shawyer
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 50,9 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9789814513333

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Jim Totten's Problems of the Week by John Grant McLoughlin,Joseph Khoury,Bruce Shawyer Pdf

This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals. It is a resource for those interested in mathematical competitions ranging from high school level to the William Lowell Putnam Mathematical Competition (for undergraduate students). The collection offers challenges for students, teachers, and recreational mathematicians. Request Inspection Copy