| 书目名称 | Putnam and Beyond | | 编辑 | Răzvan Gelca,Titu Andreescu | | 视频video | | | 概述 | Undergraduate textbook with an emphasis on problem-solving.Structured topically to assist undergraduates in gaining proficiency across a broad spectrum of subjects: algebra, real analysis, geometry an | | 图书封面 |  | | 描述 | .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...Key features of .Putnam and Beyond..* 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 every section according to the specific topic...* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come | | 出版日期 | Textbook 20071st edition | | 关键词 | Algebra; Applied Mathematics; Invariant; Problem-solving; Variable; calculus; equation; geometry; mathematic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-68445-1 | | isbn_ebook | 978-0-387-68445-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines |
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发表于 2025-3-21 16:36:35
