Mathematics and Its History (Undergraduate Texts in Mathematics) 2nd Edition
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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.)
From the reviews of the second edition:
"The author discusses many subjects by tracing their historical developments and showing their interactions. … Each chapter includes biographical notes, describing briefly the life of the main contributors. 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 … and will give them a good account of how the different branches of mathematics interact." (Dennis Bonheure, Bulletin of the Belgian Mathematical Society, 10:4, 2003)
"The book is focused on the mathematics, which is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. … 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 Newsletter, September 2002)
"This book covers many interesting topics not usually covered in a present day undergraduate course … . The fact that the topics are introduced in their historical context will enable students to better appreciate and understand the mathematical ideas involved. … Topics are presented mainly in a present-day context, using modern terminology and notation. … All of the chapters contain a number of interesting mathematical concepts, results and exercises. … I can suggest no better text than Stillwell’s excellent book." (David Parrott, The Australian Mathematical Society Gazette, 29:5, 2002)
"This successful book appeared in 1989 and has been reprinted several times … . The new edition is substantially longer than its predecessor, mainly due to some new chapters, more exercises, a larger bibliography (which contains several little-known items, both primary and secondary), and an elaborated index. … An impressive range of topics is covered …" (Ivor Grattan-Guinness, Zentralblatt MATH, 985, 2002)
- Publisher : Springer; 2nd edition (November 29, 2001)
- Language : English
- Hardcover : 542 pages
- ISBN-10 : 0387953361
- ISBN-13 : 978-0387953366
- Item Weight : 4.72 pounds
- Dimensions : 6.14 x 1.25 x 9.21 inches
- Best Sellers Rank: #2,880,499 in Books (See Top 100 in Books)
- Customer Reviews:
Top reviews from the United States
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I previously gave this 1/5 stars for missing pages; I ordered another copy (2 years later) and everything appears to be fine now. This is a great book, and an easy read.
Top reviews from other countries
PS: the lectures are available on you tube; that is how I found out about it.
Leider hat das Buch auch einige gewichtige Lücken. So wird Statistik nicht behandelt (da der Autor meint, das läge außerhalb der Mainstream-Mathematik), außerdem habe ich Kapitel über die Entwicklung der Linearen Algebra (z.B. Vektor- und Matrizenschreibweise), Fouriertransformation, Differentialgleichungen und Numerik vermisst. Also eigentlich alle Themen, die man heute besonders in der Anwendung braucht. Aber das ist wohl der Orientierung am Undergraduate Curriculum der Mathematik geschuldet.
Ich fände es daher ehrlicher, wenn der Titel des Buches "Undergraduate Mathematics and Its History" lauten würde und der Autor vielleicht noch einen zweiten Band nachschieben würde, der die genannten Lücken füllt. Dann hätte dieses zweibändige Werk das Potential zur Standardreferenz über die historische Entwicklung der Mathematik zu werden.
For anyone who wants to know the math, that's OVER 10% OF THE MAJOR CONTENT OF THE BOOK!
Fortunately for me, Amazon was kind enough to give me a refund even though I was approximately two months past the refund date.
Other than the missing pages, the book was great, very informative and in depth.