Mathematics and Its History / by John Stillwell
(Undergraduate Texts in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 版 | Second Edition |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 2002 |
| 本文言語 | 英語 |
| 大きさ | XVIII, 544 p. 181 illus : online resource |
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| 内容注記 | 1 The Theorem of Pythagoras 2 Greek Geometry 3 Greek Number Theory 4 Infinity in Greek Mathematics 5 Number Theory in Asia 6 Polynomial Equations 7 Analytic Geometry 8 Projective Geometry 9 Calculus 10 Infinite Series 11 The Number Theory Revival 12 Elliptic Functions 13 Mechanics 14 Complex Numbers in Algebra 15 Complex Numbers and Curves 16 Complex Numbers and Functions 17 Differential Geometry 18 Noneuclidean Geometry 19 Group Theory 20 Hypercomplex Numbers 21 Algebraic Number Theory 22 Topology 23 Sets, Logic, and Computation |
|---|---|
| 一般注記 | From the reviews of the first edition: "There are many books on the history of mathematics in which mathematics is subordinated to history. This is a book in which history is definitely subordinated to mathematics. It can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience...we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer) "The discussion is at a deep enough level that I suspect most trained mathematicians will find much that they do not know, as well as good intuitive explanations of familiar facts. The careful exposition, lightness of touch, and the absence of technicalities should make the book accessible to most senior undergraduates." (American Mathematical Monthly) "...The book is a treasure, which deserves wide adoption as a text and much consultation by historians and mathematicians alike." (Physis - Revista Internazionale di Storia della Scienza) "A beautiful little book, certain to be treasured by several generations of mathematics lovers, by students and teachers so enlightened as to think of mathematics not as a forest of technical details but as the beautiful coherent creation of a richly diverse population of extraordinary people...His writing is so luminous as to engage the interest of utter novices, yet so dense with particulars as to stimulate the imagination of professionals." (Book News, Inc.) This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises expalining how they relate to the preceding section, and how they foreshadow la ter topics. The index has been given added structure to make searching easier, the references have been redone, and hundreds of minor improvements have been made throughout the text |
| 著者標目 | *Stillwell, John author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Geometry LCSH:History LCSH:Number theory FREE:Mathematics FREE:History of Mathematical Sciences FREE:Geometry FREE:Number Theory FREE:Analysis |
| 分 類 | DC23:510.9 |
| 巻冊次 | ISBN:9781468492811 
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| ISBN | 9781468492811 |
| URL | http://dx.doi.org/10.1007/978-1-4684-9281-1 |
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