| 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 |  | | 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 | | doi | https://doi.org/10.1007/978-3-319-58988-6 | | isbn_softcover | 978-3-319-58986-2 | | isbn_ebook | 978-3-319-58988-6 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:43:47
