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An Introduction to the History of Mathematics (Saunders Series) 6th Edition

4.3 out of 5 stars 23 customer reviews
ISBN-13: 978-0030295584
ISBN-10: 0030295580
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Product Details

  • Series: Saunders Series
  • Hardcover: 800 pages
  • Publisher: Cengage Learning; 6 edition (January 2, 1990)
  • Language: English
  • ISBN-10: 0030295580
  • ISBN-13: 978-0030295584
  • Product Dimensions: 9.4 x 7.1 x 1.4 inches
  • Shipping Weight: 2.9 pounds
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (23 customer reviews)
  • Amazon Best Sellers Rank: #313,199 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

22 of 22 people found the following review helpful By Dr. Lee D. Carlson HALL OF FAMEVINE VOICE on December 27, 2003
Format: Hardcover
The careful documentation of the discoveries and history of mathematics is of overwhelming importance, especially in modern times where the advances are taking place so rapidly that the historical roots of some branches of mathematics seem to be getting lost. It would be a tragedy if the history of these important developments were not put into print so that later generations of mathematicians and students could have an understanding of how these came about. Thanks to the information age, the accessibility of mathematical documents has dramatically increased, but these documents usually do not include overviews of how the ideas took root and then flourished as independent research disciplines.
This book gives a general overview of mathematical developments up until the middle of the twentieth century. It is a fascinating story, and readers will realize to what extent mathematical ideas deemed complex by even modern standards were known by the ancients. Indeed, it is very surprising to learn that in 2000 BC the Babylonians were solving quadratic equations and even some cubic and quartic equations. The Babylonians did not produce an Evariste Galois, that took centuries more time, but they were dealing with mathematical constructions that were interesting to compare with modern methods.
One very interesting feature of this book is that it is meant to be used as a textbook, and not just in a course in the history of mathematics. The author has included "problem studies" and "essay topics" at the end of each chapter that challenge the reader to solve problems pertinent to the historical topics of each chapter.
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13 of 13 people found the following review helpful By another reader on April 11, 2004
Format: Hardcover
I agree with the person who said this book is very informative & it is also easy to read. I learned lots from doing the problems too, like for example, a simple algorithm on how to construct magic squares of odd size. This book was good for the course I did because there's only so much you can do in a course; Morris Kline's "Mathematical Thought From Ancient to Modern Times" is twice as long as this one so it goes into much more detail, but too much for a 1-term course. This book by Eves is a good INTRO to the history of math, I liked it.
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4 of 4 people found the following review helpful By S. reilly on March 29, 2009
Format: Hardcover
This was the textbook for a History of Math class I took at U of Iowa. The readings in each chapter are very interesting. As the other reviewers said, if you are interested in math, you will enjoy reading the text.

The problem is that the attached essays and problems for each chapter are not possible to be solved/completed just given the information in the chapter. The readings are generally qualitative descriptions of the historical development and then the problems ask you to (for example) find the tangent to the curve the way it would have been done by this ancient mathematician and then by this other ancient mathematician, etc. I spent hours every week searching online for enough information to complete the homework.

Good luck!
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2 of 2 people found the following review helpful By Bernardo Mello on February 14, 2013
Format: Hardcover
I very much liked the first half of this book, regarding math at classical and medieval ages, including non-European math. The concepts are well explained and the biographies detailed enough, with an introduction of the historic context at the beginning of each chapter. The exercises are interesting and often referred to from within the text. Trying some of them is a natural part of reading the book.

However, as time advances, the author tries to pack more and more math concepts in the same amount of pages, obviously as a consequence of accelerating pace of math evolution. If you are not familiar with the subject being presented, you will hardly be able to learn anything about what was done after XVIII century. My criticisms bellow, refers to that part of the book.

Often, one paragraph contains the "biography" of five or more mathematicians, including names, place of birth, and some words about their work, which you forget in the next page. Concepts start being used without being introduced, like "synthetic geometry" and "analytical numbers" just to mention some. Some math expression appears from nowhere and are completely unintelligible, for example, Plücker's "famous four equations relating singularities of an algebraic curve". Other concepts are introduced in, perhaps excessive, details, like the extension of the Pythagorean theorem to n dimensions, while, in the very next paragraph, the formal definition of cosine is presented without further comments.

Maybe the last part of the book is addressed to a more specific audience (I have a PhD and do research in theoretical physics). However the there is a clear unbalance between the first and the second half of the book. If you are not an specialist, I recommend only the first half.
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1 of 1 people found the following review helpful By bernie HALL OF FAMETOP 1000 REVIEWERVINE VOICE on September 24, 2014
Format: Hardcover
You can have fun as you recreate the condition and think as the ancients did

You may find secrets that were lost to us. Many useful ways of thinking if you do not have one of them new fangled hand held calculators that do everything for you.

Contents:
Part 1 - systems
Part 2 - Babylonian and Egyptian mathematics
Part 3 - Pythagorean mathematics
Part 4 - duplication, try section, and quadrature
Part 5 - Euclid and his elements
Part 6 - Greek mathematics after Euclid
Part 7 - Chinese, Hindu, and Arabian mathematics
Part 8 - European mathematics, 500 to 1600
Part 9 - The Dawn of modern mathematics
Part 10 - Analytic geometry and other pre-calculus developments
Part 11 - The calculus and related concepts
Part 12 - The 18th century and the exploration of the calculus
Part 13 - The early 19th century and the liberation of geometry and algebra
Part 14 - The later 19th century and the arithmetization of analysis
Part 15 - Abstraction and the transition into the 20th century

At the end of each part there are essay topics and a generous bibliography.

You will want to keep your old edition and get the latest as each edition applies different information.
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