Mathematics and Its History - John Stillwell

Mathematics and Its History

John Stillwell

出版社

Springer

出版时间

2010-08-02

ISBN

9781441960528

评分

★★★★★
书籍介绍

From the reviews of the third edition: "The author’s goal for Mathematics and its History is to provide a “bird’s-eye view of undergraduate mathematics.” (p. vii) In that regard it succeeds admirably. ... Mathematics and its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. ... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics. ... While Stillwell does a wonderful job of tying together seemingly unrelated areas of mathematics, it is possible to read each chapter independently. I would recommend this fine book for anyone who has an interest in the history of mathematics. For those who teach mathematics, it provides lots of information which could easily be used to enrich an opening lecture in most any undergraduate course. It would be an ideal gift for a department’s outstanding major or for the math club president. Pick it up at your peril — it is hard to put down!" (Richard Wilders, MAA Reviews) From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." (European Mathematical Society) "Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact." (Denis Bonheure, Bulletin of the Belgian Society)

John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books with Springer, including The Four Pillars of Geometry; Elements of Algebra; Numbers and Geometry; and many more.

精彩摘录
  • "我们要讲的是可以将亏格=1的3次曲线参数化的函数,这样的函数就是椭圆函数。。。"
  • "读者要注意,高斯年轻时的故事是他本人年老时讲出来的。。。"
  • "首先从纯粹拓扑的角度理解V-E+F的人大概是Poincare。。。"
作者简介
John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books with Springer, including The Four Pillars of Geometry; Elements of Algebra; Numbers and Geometry; and many more.
目录
Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
1 The Theorem of Pythagoras
2 Greek Geometry

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用户评论
真佩服這些老數學家,憑空吧啦噠搞了個東西,還證了自己搞的東西…請收下我一學期的膝蓋!中國古代數學很輝煌,排個top 1也沒關係~可惜燒了坑了全沒了,誰都不曉得~
相当有特色
力荐 对我十分友好 比较适合有一定功底的人
复习下曾经学过的数学知识
可以在学完数分或者高数之后读。
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