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Title: Concepts of Modern Mathematics by Ian Stewart ISBN: 0-486-28424-7 Publisher: Dover Publications Pub. Date: 01 February, 1995 Format: Paperback Volumes: 1 List Price(USD): $12.95 |
Average Customer Rating: 5 (5 reviews)
Rating: 5
Summary: for serious non-mathematicians
Comment: This is a serious book. Stewart explains clearly and concisely for a non-mathematician some of the central ideas of mathematics. Perfect for those willing to put in some thought. I'd also recommend it to anyone in first year pure math. And especially to anyone who teaches math.
Rating: 5
Summary: A classic - the first version of this book appeared in 1975.
Comment: This charming book was written by a man who knows how to teach, and how to have fun. For example, as each successive topic is discussed, Mr. Stewart is careful to furnish the reader with an intuitive grasp of its main points. Only then, does he delve into the topic's details. However, what really makes this book readable is the author's wit, and sense of delight, as he illuminates--one-by-one--the abstract concepts of modern mathematics. Amazingly, this book can be read by almost anyone, and they will come away with an understanding of the why, and the wherefore, of modern math.
In theory at least, having a degree in pure math meant that I had insights that most engineers don't have. In reality, it meant I was more aware of what I didn't understand. When I got this book, I went straight to the topics I'd never gotten the point of: set theory, topology, and hyperspace. I was not disappointed, but it was not until I settled down and read the whole book that I really got the point. Modern mathematics (modern meaning the late 1800s on) provides a framework for all math. That is why it is--of necessity--more abstract, generalized, and rigorous.
Interestingly, the figures in this book are hand drawn. Perhaps its because this book has a way of transporting the reader to a university classroom - somewhere. It wouldn't have seemed right if the figures were anything but hand drawn.
Rating: 5
Summary: outstanding guide to higher math for the layman
Comment: This book is very much in the same spirit as more recent books such as Keith Devlin's "Mathematics, the New Golden Age" (which I also recommend). It explains various subjects in pure mathematics in order to make them accessible and interesting to non-mathematicians. A great variety of subjects are covered, including abstract algebra, group theory, number theory, and especially topology, to which the author devotes several chapters. The links between different branches of mathematics (e.g. topology and group theory) are given special attention, and one of the central themes of the book is the fundamental unity of mathematics. I strongly recommend this book to anyone with a serious interest in mathematics. Plus, the price is definitely right!
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Title: What Is Mathematics?: An Elementary Approach to Ideas and Methods (Oxford Paperbacks) by Richard Courant, Herbert Robbins, Ian Stewart ISBN: 0195105192 Publisher: Oxford University Press Pub. Date: 01 May, 1996 List Price(USD): $21.50 |
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Title: Foundations and Fundamental Concepts of Mathematics by Howard Eves ISBN: 048669609X Publisher: Dover Publications Pub. Date: 20 May, 1997 List Price(USD): $16.95 |
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Title: The Language of Mathematics: Making the Invisible Visible by Keith J. Devlin ISBN: 0805072543 Publisher: Owl Books (NY) Pub. Date: 01 March, 2000 List Price(USD): $17.00 |
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Title: Mathematics and the Physical World by Morris Kline ISBN: 0486241041 Publisher: Dover Publications Pub. Date: 01 June, 1981 List Price(USD): $16.95 |
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Title: From Here to Infinity by Ian Stewart ISBN: 0192832026 Publisher: Oxford University Press Pub. Date: 01 April, 1996 List Price(USD): $14.95 |
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