The William Lowell Putnam Mathematical Competition 1985 2000

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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.

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: Problems, Solutions, and Commentary

Author : Kiran S. Kedlaya
Publisher : American Mathematical Soc.
ISBN 13 : 1470451247
Total Pages : 337 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary by : Kiran S. Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary written by Kiran S. Kedlaya and published by American Mathematical Soc.. This book was released on 2020-01-16 with total page 337 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.

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.

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 2001-2016

Author : Kiran Sridhara Kedlaya
Publisher : MAA Press
ISBN 13 : 9781470462604
Total Pages : 363 pages
Book Rating : 4.4/5 (626 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 2001-2016 by : Kiran Sridhara Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 2001-2016 written by Kiran Sridhara Kedlaya and published by MAA Press. This book was released on 2020 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Markoff and Lagrange Spectra

Author : Thomas W. Cusick
Publisher : American Mathematical Soc.
ISBN 13 : 0821815318
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Markoff and Lagrange Spectra by : Thomas W. Cusick

Download or read book The Markoff and Lagrange Spectra written by Thomas W. Cusick and published by American Mathematical Soc.. This book was released on 1989 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is directed at mathematicians interested in Diophantine approximation and the theory of quadratic forms and the relationship of these subjects to Markoff and Lagrange spectra. The authors have gathered and systemized numerous results from the diverse and scattered literature, much of which has appeared in rather inaccessible Russian publications. Readers will find a comprehensive overview of the theory of the Markoff and Lagrange spectra, starting with the origins of the subject in two papers of A. Markoff from 1879-80. Most of the progress since that time has occurred in the last 20 years or so, when there has been a resurgence of interest in these spectra. The authors provide an excellent exposition of these developments, in addition to presenting many proofs and correcting various errors in the literature.

The Cauchy-Schwarz Master Class

Author : J. Michael Steele
Publisher : Cambridge University Press
ISBN 13 : 9780521546775
Total Pages : 320 pages
Book Rating : 4.5/5 (467 download)

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Book Synopsis The Cauchy-Schwarz Master Class by : J. Michael Steele

Download or read book The Cauchy-Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.

Dynamic Allocation and Pricing

Author : Alex Gershkov
Publisher : MIT Press
ISBN 13 : 0262552442
Total Pages : 209 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Dynamic Allocation and Pricing by : Alex Gershkov

Download or read book Dynamic Allocation and Pricing written by Alex Gershkov and published by MIT Press. This book was released on 2024-06-11 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to dynamic allocation and pricing that blends dynamic paradigms from the operations research and management science literature with classical mechanism design methods. Dynamic allocation and pricing problems occur in numerous frameworks, including the pricing of seasonal goods in retail, the allocation of a fixed inventory in a given period of time, and the assignment of personnel to incoming tasks. Although most of these problems deal with issues treated in the mechanism design literature, the modern revenue management (RM) literature focuses instead on analyzing properties of restricted classes of allocation and pricing schemes. In this book, Alex Gershkov and Benny Moldovanu propose an approach to optimal allocations and prices based on the theory of mechanism design, adapted to dynamic settings. Drawing on their own recent work on the topic, the authors describe a modern theory of RM that blends the elegant dynamic models from the operations research (OR), management science, and computer science literatures with techniques from the classical mechanism design literature. Illustrating this blending of approaches, they start with well-known complete information, nonstrategic dynamic models that yield elegant explicit solutions. They then add strategic agents that are privately informed and then examine the consequences of these changes on the optimization problem of the designer. Their sequential modeling of both nonstrategic and strategic logic allows a clear picture of the delicate interplay between dynamic trade-offs and strategic incentives. Topics include the sequential assignment of heterogeneous objects, dynamic revenue optimization with heterogeneous objects, revenue maximization in the stochastic and dynamic knapsack model, the interaction between learning about demand and dynamic efficiency, and dynamic models with long-lived, strategic agents.

100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection

Author : Stephan Ramon Garcia
Publisher : American Mathematical Soc.
ISBN 13 : 1470436523
Total Pages : 581 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by : Stephan Ramon Garcia

Download or read book 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection written by Stephan Ramon Garcia and published by American Mathematical Soc.. This book was released on 2019-06-13 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics.

A Course in p-adic Analysis

Author : Alain M. Robert
Publisher : Springer Science & Business Media
ISBN 13 : 1475732546
Total Pages : 451 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Course in p-adic Analysis by : Alain M. Robert

Download or read book A Course in p-adic Analysis written by Alain M. Robert and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel’s functional equation lemma, and a treatment of analytic elements.

Conversational Problem Solving

Author : Richard P. Stanley
Publisher : American Mathematical Soc.
ISBN 13 : 1470456354
Total Pages : 178 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Conversational Problem Solving by : Richard P. Stanley

Download or read book Conversational Problem Solving written by Richard P. Stanley and published by American Mathematical Soc.. This book was released on 2020-05-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

103 Trigonometry Problems

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817644326
Total Pages : 214 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 103 Trigonometry Problems by : Titu Andreescu

Download or read book 103 Trigonometry Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2006-03-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training

The Art and Craft of Problem Solving

Author : Paul Zeitz
Publisher : John Wiley & Sons
ISBN 13 : 1119239907
Total Pages : 389 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis The Art and Craft of Problem Solving by : Paul Zeitz

Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Testimonios: Stories of Latinx and Hispanic Mathematicians

Author : Pamela E. Harris
Publisher : American Mathematical Soc.
ISBN 13 : 1470466570
Total Pages : 286 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Testimonios: Stories of Latinx and Hispanic Mathematicians by : Pamela E. Harris

Download or read book Testimonios: Stories of Latinx and Hispanic Mathematicians written by Pamela E. Harris and published by American Mathematical Soc.. This book was released on 2021-08-16 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Testimonios brings together first-person narratives from the vibrant, diverse, and complex Latinx and Hispanic mathematical community. Starting with childhood and family, the authors recount their own individual stories, highlighting their upbringing, education, and career paths. Their particular stories, told in their own voices, from their own perspectives, give visibility to some of the experiences of Latinx/Hispanic mathematicians. Testimonios seeks to inspire the next generation of Latinx and Hispanic mathematicians by featuring the stories of people like them, holding a mirror up to our own community. It also aims to provide a window for mathematicians (and aspiring mathematicians) from all ethnicities, with the hope of inspiring a better understanding of the diversity of the mathematical community.

A Concise Introduction to the Theory of Numbers

Author : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 9780521286541
Total Pages : 116 pages
Book Rating : 4.2/5 (865 download)

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Book Synopsis A Concise Introduction to the Theory of Numbers by : Alan Baker

Download or read book A Concise Introduction to the Theory of Numbers written by Alan Baker and published by Cambridge University Press. This book was released on 1984-11-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.

A Mathematical Mosaic

Author : Ravi Vakil
Publisher : Brendan Kelly Publishing Inc.
ISBN 13 : 9781895997040
Total Pages : 258 pages
Book Rating : 4.9/5 (97 download)

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Book Synopsis A Mathematical Mosaic by : Ravi Vakil

Download or read book A Mathematical Mosaic written by Ravi Vakil and published by Brendan Kelly Publishing Inc.. This book was released on 1996 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Powerful problem solving ideas that focus on the major branches of mathematics and their interconnections.