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Titlebook: Putnam and Beyond; Răzvan Gelca,Titu Andreescu Textbook 2017Latest edition The Editor(s) (if applicable) and The Author(s), under exclusiv

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书目名称Putnam and Beyond
编辑Răzvan Gelca,Titu Andreescu
视频video
概述Second edition includes new sections on quadratic polynomials, functions in real analysis, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory.Second edition includes add
图书封面Titlebook: Putnam and Beyond;  Răzvan Gelca,Titu Andreescu Textbook 2017Latest edition The Editor(s) (if applicable) and The Author(s), under exclusiv
描述.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, limi
出版日期Textbook 2017Latest edition
关键词Putnam mathematics competition; mathematical induction; pigeonhole principle; Cauchy-Schwarz Inequality
版次2
doihttps://doi.org/10.1007/978-3-319-58988-6
isbn_softcover978-3-319-58986-2
isbn_ebook978-3-319-58988-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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