书目名称 | Reading, Writing, and Proving | 副标题 | A Closer Look at Mat | 编辑 | Ulrich Daepp,Pamela Gorkin | 视频video | | 概述 | New to the second edition:.A useful appendix of formal definitions that can be used as a quick reference.Second edition includes new exercises, problems, and student projects.Includes supplementary ma | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | .This book, which is based on Pólya‘s method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends with suggested projects for independent study.. .Students will follow Pólya‘s four step approach: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. In addition to the Pólya approach to proofs, this book places special emphasis on reading proofs carefully and writing them well. The authors have included a wide variety of problems, examples, illustrations and exercises, some with hints and solutions, designed specifically to improve the student‘s ability to read and write proofs. . .Historical connections are made throughout the text, and students are encouraged to use the rather extensivebibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wa | 出版日期 | Textbook 2011Latest edition | 关键词 | Higher Mathematics; Introduction to Proof; Mathematical Induction; Mathematical Logic; Mathematics Major | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4419-9479-0 | isbn_softcover | 978-1-4614-2915-9 | isbn_ebook | 978-1-4419-9479-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer Science+Business Media,LLC 2011 |
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