Proof and the Art of Mathematics
暫譯: 數學的證明與藝術
Hamkins, Joel David
- 出版商: Summit Valley Press
- 出版日期: 2020-09-29
- 售價: $1,480
- 貴賓價: 9.5 折 $1,406
- 語言: 英文
- 頁數: 240
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0262539799
- ISBN-13: 9780262539791
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商品描述
An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.
商品描述(中文翻譯)
寫作證明的介紹,通過引人入勝的數學陳述和有趣的基本證明來呈現。
本書提供了證明寫作的藝術和技術的介紹。作者是一位領先的研究數學家,呈現了一系列引人入勝且具說服力的數學陳述,並附有有趣的基本證明。這些證明涵蓋了廣泛的主題,包括數論、組合數學、圖論、博弈論、幾何學、無窮大、序論以及實分析。目標是向學生和有志於成為數學家的讀者展示如何優雅且精確地撰寫證明。作者簡介
Joel David Hamkins is Professor of Logic at Oxford University and Sir Peter Strawson Fellow in Philosophy at University College, Oxford. The author of Proof and the Art of Mathematics (MIT Press), he is the creator of the popular blog Mathematics and Philosophy of the Infinite. He is a prominent contributor to MathOverflow, where he has posted more than 1,000 mathematical arguments.
作者簡介(中文翻譯)
喬爾·大衛·哈姆金斯(Joel David Hamkins)是牛津大學邏輯學教授,並且是牛津大學學院的彼得·斯特勞森爵士哲學研究員。他是《證明與數學的藝術》(Proof and the Art of Mathematics,麻省理工學院出版社)的作者,也是受歡迎的部落格《無限的數學與哲學》(Mathematics and Philosophy of the Infinite)的創建者。他是 MathOverflow 的重要貢獻者,已經發表了超過 1,000 篇數學論證。