The William Lowell Putnam Mathematical Competition 1985-2000

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Author :
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 Problems and Solutions

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Author :
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

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Author :
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

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Author :
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 Cauchy-Schwarz Master Class

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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 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.

Managing Asperger Syndrome at College and University

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Author :
Publisher : Routledge
ISBN 13 : 1136773096
Total Pages : 120 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Managing Asperger Syndrome at College and University by : Juliet Jamieson

Download or read book Managing Asperger Syndrome at College and University written by Juliet Jamieson and published by Routledge. This book was released on 2014-05-22 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is full of practical suggestions for students with Asperger Syndrome on how to make the post-16 educational experience a good one.

D.H. Lawrence and Germany

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Author :
Publisher : Rodopi
ISBN 13 : 9042021268
Total Pages : 345 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis D.H. Lawrence and Germany by : Carl Krockel

Download or read book D.H. Lawrence and Germany written by Carl Krockel and published by Rodopi. This book was released on 2007 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Algebra and Analysis

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Author :
Publisher : Birkhäuser
ISBN 13 : 331911946X
Total Pages : 319 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Topics in Algebra and Analysis by : Radmila Bulajich Manfrino

Download or read book Topics in Algebra and Analysis written by Radmila Bulajich Manfrino and published by Birkhäuser. This book was released on 2015-02-09 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.

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

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470451247
Total Pages : 353 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 353 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.

103 Trigonometry Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644326
Total Pages : 222 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 2006-03-04 with total page 222 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 WEIRDest People in the World

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Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374710457
Total Pages : 420 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis The WEIRDest People in the World by : Joseph Henrich

Download or read book The WEIRDest People in the World written by Joseph Henrich and published by Farrar, Straus and Giroux. This book was released on 2020-09-08 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times Notable Book of 2020 A Bloomberg Best Non-Fiction Book of 2020 A Behavioral Scientist Notable Book of 2020 A Human Behavior & Evolution Society Must-Read Popular Evolution Book of 2020 A bold, epic account of how the co-evolution of psychology and culture created the peculiar Western mind that has profoundly shaped the modern world. Perhaps you are WEIRD: raised in a society that is Western, Educated, Industrialized, Rich, and Democratic. If so, you’re rather psychologically peculiar. Unlike much of the world today, and most people who have ever lived, WEIRD people are highly individualistic, self-obsessed, control-oriented, nonconformist, and analytical. They focus on themselves—their attributes, accomplishments, and aspirations—over their relationships and social roles. How did WEIRD populations become so psychologically distinct? What role did these psychological differences play in the industrial revolution and the global expansion of Europe during the last few centuries? In The WEIRDest People in the World, Joseph Henrich draws on cutting-edge research in anthropology, psychology, economics, and evolutionary biology to explore these questions and more. He illuminates the origins and evolution of family structures, marriage, and religion, and the profound impact these cultural transformations had on human psychology. Mapping these shifts through ancient history and late antiquity, Henrich reveals that the most fundamental institutions of kinship and marriage changed dramatically under pressure from the Roman Catholic Church. It was these changes that gave rise to the WEIRD psychology that would coevolve with impersonal markets, occupational specialization, and free competition—laying the foundation for the modern world. Provocative and engaging in both its broad scope and its surprising details, The WEIRDest People in the World explores how culture, institutions, and psychology shape one another, and explains what this means for both our most personal sense of who we are as individuals and also the large-scale social, political, and economic forces that drive human history. Includes black-and-white illustrations.

Problem-Solving and Selected Topics in Euclidean Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1461472733
Total Pages : 238 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Problem-Solving and Selected Topics in Euclidean Geometry by : Sotirios E. Louridas

Download or read book Problem-Solving and Selected Topics in Euclidean Geometry written by Sotirios E. Louridas and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.

A Mathematical Mosaic

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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.

Problem-Solving Through Problems

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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.

A Concise Introduction to the Theory of Numbers

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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.

The William Lowell Putnam Mathematical Competition 2001–2016: Problems, Solutions, and Commentary

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470454270
Total Pages : 348 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The William Lowell Putnam Mathematical Competition 2001–2016: Problems, Solutions, and Commentary by : Kiran S. Kedlaya

Download or read book The William Lowell Putnam Mathematical Competition 2001–2016: Problems, Solutions, and Commentary written by Kiran S. Kedlaya and published by American Mathematical Soc.. This book was released on 2020-11-05 with total page 348 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 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.

The Art and Craft of Problem Solving

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Author :
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.