- Series: Undergraduate Texts in Mathematics
- Hardcover: 542 pages
- Publisher: Springer; 2nd edition (November 29, 2001)
- Language: English
- ISBN-10: 0387953361
- ISBN-13: 978-0387953366
- Product Dimensions: 6.1 x 1.2 x 9.2 inches
- Shipping Weight: 2 pounds (View shipping rates and policies)
- Average Customer Review: 22 customer reviews
- Amazon Best Sellers Rank: #941,198 in Books (See Top 100 in Books)
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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)
From the Back Cover
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)
This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises. --This text refers to the Paperback edition.
Top customer reviews
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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.
Until I came across the first of many blank pages, where paragraphs of text are inexcusably missing. I am not talking where the printing plates mis-struck, or or the pages slipped the binding, but pages without continuing text. Right page 9 stops mid paragraph in one section of the chapter, and left page 12 picks up mid paragraph in the next section. There are single pages blank mid proof and 3 continuous pages blank of text.
The only reason I did not rate it less are the chapters that are stil intact are very good.
Update (2014 January 20): ordered new copy of this book and was gratified that there were no missing pages this time. The quality is consistent through out and I will enjoy reading it.
updated rating to 5 stars.
This review is negative because of the poor job by the publisher
in printing this book.
The problem is: the "new" copy of the book I received had 15 to 20
page ranges which were totally unprinted. To phrase it another way,
all the correct number of pages were in the book but there were places
where anywhere from 2 to 12 consecutive pages were not printed -
not even the page numbers were printed on such page.
The material on 90%+ of the 600+ seemed fine but several of the
sections I had intended to read had large (and important) gaps.
Springer this was an inferior print job - I have never seen a single
book so poorly printed.
I would still like a "good" copy of this book but I will never pay for it!!