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The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities
 
 

The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities [Paperback]

William Dunham
4.6 out of 5 stars  See all reviews (23 customer reviews)
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From Amazon

The Mathematical Universe is a solid collection of short essays, with each addressing a particular mathematical topic. Titles range from "Isoperimetric Problem" to "Where Are the Women?" Author Dunham is unafraid to refer to diagrams, equations, and rigorous arguments throughout the book, yet he manages to maintain a conversational tone.

From Library Journal

Like John Allen Paulos's Beyond Numeracy (LJ 4/1/91), this is an A-to-Z collection of mathematical essays. The advantage of this format is that it lets the author hit the highlights in essays that can be read independently. This collection is less cantankerous than Paulos's, and it is also somewhat more focused and mathematically challenging, though still written for a popular audience. Dunham (Journey Through Genius: The Great Theorems of Mathematics, Wiley, 1990) is winner of the 1993 George Polya Award for excellence in math writing, an honor he richly deserves. He is fascinated by the nature of mathematical genius, and the theme of these essays is the personality and eccentricities of mathematicians and the brilliance of their discoveries. For sophisticated readers who don't mind equations (including algebra, geometry, and calculus), this is a rewarding and entertaining look at the history of mathematics.
Amy Brunvand, Fort Lewis Coll. Lib., Durango, Col.
Copyright 1994 Reed Business Information, Inc. --This text refers to an out of print or unavailable edition of this title.

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First Sentence
For each of us, mathematics begins with arithmetic, and so does this book. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

23 Reviews
5 star:
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Average Customer Review
4.6 out of 5 stars (23 customer reviews)
 
 
 
 
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1 of 1 people found the following review helpful
5.0 out of 5 stars Review by a mathematics professor, Feb 23 2002
By 
William (Grifton, NC United States) - See all my reviews
This review is from: The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities (Paperback)
William Dunham's work is of the highest caliber. He not only knows the techniques of writing and making the best use of language but he also knows the math without question. The book is extremely well-organized with a reasonable number of math examples but not so many as to "clog" the flow of the writing and the stories about the discoverers of the great math sequences. This book is, I think, very much worth the price being asked. Very enjoyable reading and one can even use it for study if necessary, such as when writing a thesis.
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1 of 1 people found the following review helpful
5.0 out of 5 stars A Delightful Journey, Sep 29 2001
By 
"chandp" (Fremont, CA USA) - See all my reviews
This review is from: The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities (Paperback)
As the book's subtitle suggests, it is a journey through some of the world's greatest mathematical achievements. It is a collection of quasi-independent essays, loosely patterned after children's ABC picture books.

For me there were two things that made this book a joy to read. One was that, as the preface states, "each chapter provides a strong dose of history." This way each topic was considered in some human context that revealed just how remarkable its development was. The other trait I liked was that while each chapter followed the same basic formula, i.e., some history and then some math, no two chapters were presented in the same way. Thus, Dr. Dunham was able to avoid predictability.

Though the mathematics in this book was not terribly challenging, the reader should be fairly mathematically inclined. The historical periods covered were weighted in favor of the classical Greeks and the 17th century Europeans, and the corresponding developments paralleled current curricula through lower division college math courses.

On the minus side, I would like to have seen a bibliography in addition to the notes at the back of the book.

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1 of 1 people found the following review helpful
5.0 out of 5 stars Mysteries of the Mathematical Universe Unraveled, Aug 30 2001
Dunham cites John Locke's opinion of math: "Mathematical proofs, like diamonds, are hard as well as clear" (page 115). The books presents a number of such hard and clear proofs. Dunham's facility as a writer makes this book enjoyable and creates the kind of historical context necessary to appreciate the importance of mathematical achievements. The book is erudite, educational, and enjoyable.
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