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The Art of Proof: Basic Training for Deeper Math

The Art of Proof: Basic Training for Deeper Math

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作者: Matthias 著 , Ross Geoghegan 著

出版社: Springer

ISBN: 9781441970220

定价: 631.80

装帧: 精装

开本: 其他

纸张: 其他

页数: 182页

正文语种: 英语

丛书: Undergraduate Texts in Mathematics

分类: 外文古旧书>英文书>自然科学

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples， the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include： integers， induction， algorithms， real numbers， rational numbers， modular arithmetic， limits， and uncountable sets. Methods， such as axiom， theorem and proof， are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students， either in class or in a mathematics club setting. These include： continuity， cryptography， groups， complex numbers， ordinal number， and generating functions.
内容简介:
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples， the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include： integers， induction， algorithms， real numbers， rational numbers， modular arithmetic， limits， and uncountable sets. Methods， such as axiom， theorem and proof， are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students， either in class or in a mathematics club setting. These include： continuity， cryptography， groups， complex numbers， ordinal number， and generating functions.

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