The William Lowell Putnam Mathematical Competition 1985 2000 Problems Solutions And Commentary
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The William Lowell Putnam Mathematical Competition 1985 2000
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Author : Kiran Sridhara Kedlaya
language : en
Publisher: MAA
Release Date : 2002
The William Lowell Putnam Mathematical Competition 1985 2000 written by Kiran Sridhara Kedlaya and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
A collection of problems from the William Lowell Putnam Competition which places them in the context of important mathematical themes.
The William Lowell Putnam Mathematical Competition Problems And Solutions
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Author : Andrew M. Gleason
language : en
Publisher: MAA
Release Date : 1980
The William Lowell Putnam Mathematical Competition Problems And Solutions written by Andrew M. Gleason and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Education categories.
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.
The William Lowell Putnam Mathematical Competition 2001 2016 Problems Solutions And Commentary
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Author : Kiran S. Kedlaya
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-11-05
The William Lowell Putnam Mathematical Competition 2001 2016 Problems Solutions And Commentary written by Kiran S. Kedlaya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-05 with Education categories.
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.
Putnam And Beyond
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Author : Razvan Gelca
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-11
Putnam And Beyond written by Razvan Gelca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-11 with Mathematics categories.
Putnam and Beyond 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 in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. 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.
The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
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.
The William Lowell Putnam Mathematical Competition 1985 2000 Problems Solutions And Commentary
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Author : Kiran S. Kedlaya
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-01-16
The William Lowell Putnam Mathematical Competition 1985 2000 Problems Solutions And Commentary written by Kiran S. Kedlaya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Education categories.
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 : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-04
103 Trigonometry Problems written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-04 with Mathematics categories.
* 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
A Path To Combinatorics For Undergraduates
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
A Path To Combinatorics For Undergraduates written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
The main goal of the two authors is to help undergraduate students understand the concepts and ideas of combinatorics, an important realm of mathematics, and to enable them to ultimately achieve excellence in this field. This goal is accomplished by familiariz ing students with typical examples illustrating central mathematical facts, and by challenging students with a number of carefully selected problems. It is essential that the student works through the exercises in order to build a bridge between ordinary high school permutation and combination exercises and more sophisticated, intricate, and abstract concepts and problems in undergraduate combinatorics. The extensive discussions of the solutions are a key part of the learning process. The concepts are not stacked at the beginning of each section in a blue box, as in many undergraduate textbooks. Instead, the key mathematical ideas are carefully worked into organized, challenging, and instructive examples. The authors are proud of their strength, their collection of beautiful problems, which they have accumulated through years of work preparing students for the International Math ematics Olympiads and other competitions. A good foundation in combinatorics is provided in the first six chapters of this book. While most of the problems in the first six chapters are real counting problems, it is in chapters seven and eight where readers are introduced to essay-type proofs. This is the place to develop significant problem-solving experience, and to learn when and how to use available skills to complete the proofs.
Topics In Algebra And Analysis
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Author : Radmila Bulajich Manfrino
language : en
Publisher: Birkhäuser
Release Date : 2015-02-09
Topics In Algebra And Analysis written by Radmila Bulajich Manfrino and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Mathematics categories.
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.