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Infinity: The Quest to Think the Unthinkable
 
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Infinity: The Quest to Think the Unthinkable [Paperback]

Brian Clegg (Author)
3.9 out of 5 stars  See all reviews (7 customer reviews)


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Book Description

December 3, 2003
It amazes children, as they try to count themselves out of numbers, only to discover one day that the hundreds, thousands, and zillions go on forever—to something like infinity. And anyone who has advanced beyond the bounds of basic mathematics has soon marveled at that drunken number eight lying on its side in the pages of their work. Infinity fascinates; it takes the mind beyond its everyday concerns—indeed, beyond everything—to something always more. Infinity makes even the infinite universe seem small; yet it can also be infinitesimal. Infinity thrives on paradox, and it turns the simplest arithmetic on its head, with 1 seeming feasibly to equal 0, after all. Infinity defies common sense. The contemplation of it has relieved at least two great mathematicians of their sanity. Thoroughly readable and entirely accessible, science writer Brian Clegg's lively history explores infinity in its many intriguing facets, from its ancient origins to its place today at the heart of mathematics and science. He examines infinity's paradoxes and profiles the people who first grappled with and then defined and refined them, offering information, mystery, and poetry to conceive the inconceivable and define the indefinable.


Editorial Reviews

Review

An accessible and, of course, open-ended overview of infinity as conceived of and wrestled with by theologians, mathematicians and philosophers, from Ancient Greece onwards... endlessly fascinating. --Laurence Phelan, The Independent

Here [Clegg] has done an excellent job of making the most complex concepts accessible while allowing their mystery to continue to shimmer just out of focus. --Kirkus Reviews

Clegg is immensely readable and manages to convey to a lay audience some of the key mathematical ideas concerning infinity... a success. --H. Geiges, Times Higher Education Supplement

About the Author

Brian Clegg studied physics at Cambridge University and is a Fellow of the Royal Society of Arts. He has written a number of popular science books including A Brief History of Infinity, Light Years, The God Effect and Before the Big Bang.

Product Details

  • Paperback: 272 pages
  • Publisher: Running Press (December 3, 2003)
  • Language: English
  • ISBN-10: 0786712856
  • ISBN-13: 978-0786712854
  • Product Dimensions: 7.1 x 5.9 x 0.7 inches
  • Shipping Weight: 7.8 ounces
  • Average Customer Review: 3.9 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #1,299,850 in Books (See Top 100 in Books)

More About the Author

Brian has written a number of popular science books, including Ecologic, The God Effect, on the most remarkable phenomenon of the quantum world and Before the Big Bang. Other titles include A Brief History of Infinity and Inflight Science, which explores the science that's all around you and outside your window when you are on an airplane.

Along with appearances at the Royal Institution in London he has spoken at venues from Oxford and Cambridge Universities to Cheltenham Festival of Science, has contributed to radio and TV programmes, and is a popular speaker at schools. Brian is also editor of the successful www.popularscience.co.uk book review site and is a Fellow of the Royal Society of Arts.

Brian has Masters degrees from Cambridge University in Natural Sciences and from Lancaster University in Operational Research, a discipline originally developed during the Second World War to apply the power of mathematics to warfare. It has since been widely applied to problem solving and decision making in business.

From Lancaster, he joined British Airways, where he ran teams including Emerging Technologies, amongst the most eccentric but talented staff in the company, who researched technologies from fingerprint recognition to electronic cash. This emphasis on innovation led to training with Dr. Edward de Bono, and in 1994 he left BA to set up his own creativity consultancy, running courses on the development of new ideas and products, and the creative solution of business problems. Clients include the BBC, the Met Office, British Airways, GlaxoSmithKline, Sony, The Treasury, Royal Bank of Scotland and many other blue-chips.

Brian has also written regular columns, features and reviews for numerous publications, including Nature, The Guardian, PC Week, Computer Weekly, Personal Computer World, Innovative Leader, Professional Manager, BBC History, Good Housekeeping and House Beautiful. His books have been translated into many languages, including German, Spanish, Portuguese, Chinese, Japanese, Polish, Turkish, Norwegian, Thai and even Indonesian.

 

Customer Reviews

7 Reviews
5 star:
 (2)
4 star:
 (3)
3 star:
 (1)
2 star:
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1 star:    (0)
 
 
 
 
 
Average Customer Review
3.9 out of 5 stars (7 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

7 of 7 people found the following review helpful:
4.0 out of 5 stars Pretty good, but I wish he'd give more details, December 29, 2003
By 
Bruce R. Gilson (Wheaton, MD United States) - See all my reviews
(VINE VOICE)    (REAL NAME)   
This review is from: Infinity: The Quest to Think the Unthinkable (Paperback)
I liked the book. Clegg covers both the concept of infinity and its companion, the concept of infinitesimal, from Greek days to the present, in a way I found very readable. I have very little to complain about except that I found it sometimes frustrating that his treatment oversimplified and didn't give enough details.

(For example, he has a chapter on Abraham Robinson's nonstandard analysis. I think that, next to Cantor, Robinson's ideas are probably the most important on the subject of anyone who has worked in it, yet I felt I did not get an adequate picture of Robinson's ideas of infinity and infinitesimals from the chapter.)

Still, it is the best book on the subject at a "popular" level I have seen.

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7 of 7 people found the following review helpful:
3.0 out of 5 stars Entertaining and somewhat informative, August 25, 2004
By 
This review is from: Infinity: The Quest to Think the Unthinkable (Paperback)
I know that Clegg is trying to reach a broad audience and I think he writes well enough to succeed. But I think that by skipping certain details he underestimates the ability of his readers.

For example, I was disappointed that he did not adequately explain Weierstrass' great epsilon-delta explanation of limits, which turns infinity in the calculus into a facon de parler, nothing mysterious after all.

In his discussion of Bolzano, I learned interesting things about his political conflicts but it wasn't clear what he contributed to better understanding the real numbers.

He mentions that Gabriel's Horn has infinite surface area but volume pi, which is fascinating, but he gives no explanation of why these results hold.

But I did learn about the belated 1993 publication of an important work by Leibniz on indivisibles, as well as a few other valuable tidbits, so the book was useful to me as a professional.
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4 of 4 people found the following review helpful:
4.0 out of 5 stars Good look at math history through one idea, February 16, 2004
By 
This review is from: Infinity: The Quest to Think the Unthinkable (Paperback)
I enjoy these types of books that track one idea through history. This book tracks the concept of infinity through history. It gives you a good look at the history as math as well as good insight into infinity. I thought Clegg did a good job making the concepts understandable for a "lay" person. If you are interested in math history, this book is a worthwhile read.
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