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The Mathematical Experience [Paperback]

Philip J. Davis , Reuben Hersh
5.0 out of 5 stars  See all reviews (4 customer reviews)

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Product details

  • Paperback: 464 pages
  • Publisher: Houghton Mifflin (Trade); Reprint edition (14 July 2000)
  • Language English
  • ISBN-10: 0395929687
  • ISBN-13: 978-0395929681
  • Product Dimensions: 22.9 x 15 x 3 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Bestsellers Rank: 849,352 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Review

"This beautifully written book can be recommended to any cultivated person with a certain sophistication of thought, and also to the practicing mathematician who will find here a vantage point from which to make a tour d'horizon of his science." --Publ. Math. Debrecen "This is an unusual book, being more a book about mathematics than a mathematics book. It includes mathematical issues, but also questions from the philosophy of mathematics, the psychology of mathematical discovery, the history of mathematics, and biographies of mathematicians, in short, a book about the mathematical experience broadly considered… The book found its way into "Much for liberal arts students" courses and into education courses directed at future teachers. Term paper topics, essay assignments, problems, computer applications, and suggested readings are included. This new material should greatly enhance the usefulness of this very creative book. The range of topics covered is immense and the contents cannot easily be summarized. The book makes excellent casual reading, would make a good textbook, or could easily be used as a supplement to nearly any course concerned with mathematics." -Zentralblatt Math "This is a people-centered book about mathematics, and as such it provides an opportunity to explore fundamental issues that are typically absent from the experience of most college and university students (as well as their teachers). This new edition provides an excellent initiation of students into some of the more challenging aspects of mathematics…The study edition of The Mathematical Experience will help its readers acquire a real understanding of mathematics." -Notices of the AMS "Two distinguished mathematicians...have written a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." --The New Yorker (1984 American Book Award Edition) --This text refers to the Hardcover edition.

Product Description

This is a revised edition of a monograph describing what mathematics is about and what mathematicians do. It is also a text aimed at non-mathematics majors. It contains exercises and is accompanied by an instructor's guide. --This text refers to an out of print or unavailable edition of this title.

Inside This Book (Learn More)
First Sentence
A naive definition, adequate for the dictionary and for an initial understanding, is that mathematics is the science of quantity and space. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

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Most Helpful Customer Reviews
5 of 5 people found the following review helpful
Format:Paperback
Back in the early 90's when I was an almost-penniless mathematics student I was standing in front of a bookshelf in my local bookstore and had to choose between this and Gödel, Escher, Bach. I chose this book and I still don't regret it. [I have also subsequently bought GEB :-)]
Driven by their obvious love of the subject, the authors do a credible job of tackling just what it is about mathematics that makes mathematicians love it so much, often to the bafflement of the rest of the world. A particular personal favourite is the series of four conversations between an "ideal mathematician" and, respectively, a University Public Information Officer, a philosophy student, a positive philosopher and a sceptical classicist.
I would recommend this book to students of mathematics at any level beyond the elementary, especially those with an interest in the foundations of their subject. The authors do however acknowledge that some parts of the book will seem alien to the layman.
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2 of 2 people found the following review helpful
Thought Provoking 6 Jun 2010
By B
Format:Paperback
If you are the kind of person who enjoys Horizon and other science programs but wishes they were less stripped of technicalities and more in depth: if you are very curious about physics and mathematics, you may find this a very stimulating read. After all you don't need to be a good comedian to enjoy watching comedy, so with little mathematical knowledge you can enjoy this very wide ranging discussion of many exotic fields of maths and gain a sense of the range and significance and methodologies of this field at the outer limits of human abstract thought. This very readable, demanding, though provoking book that can occupy you for weeks and sustain several re-readings.
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2 of 2 people found the following review helpful
Format:Paperback
Around my early to mid teens, finding the mathematics I was being taught easy but also puzzling I started to have philosophical questions that were just not properly addressed. I later hoped (naively I now know) my Science/Engineering degree would answer those questions. It didn't. I had wanted to dig deeper into what mathematics is but instead was taught increasingly obscure and complex "results" that were useful to my discipline. Had I known it at the time this book would have answered my questions (often answering them with more questions, true). It appears to give an excellent framework to the consideration of any uneasiness you might feel with mathematics especially if you find/found school levels maths easy.

If after reading this you still feel uneasy then you know you need to proceed further into philosophy.

A great book.
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