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Reviews elsewhere on the web:
Susan Stepney
Eagle's Path
Mathematical Association of America

Karl Sabbagh

Dr. Riemann's Zeros

The Riemann Hypothesis seems so far removed from everyday life that those who aren't specialists in number theory might have difficulty in understanding why a million dollars is being offered for its proof. In Dr. Riemann's Zeros Karl Sabbagh gives a well presented account of this area of mathematics in a way that can be followed by non-mathematicians. Sabbagh packs plenty of information into this short book - the meaning of the mathematics, the origins and history of the hypothesis, some of the current work on it, and how similar sorts of mathematics, such as Fermat's last theorem, were finally proved.

In particular the book has quite a bit on the work of Louis de Branges who proved the Bieberbach, and claims to have a proof of the Riemann Hypothesis - but other mathematicians aren't so sure. Sabbagh explains the problems which arise in the checking of such a proof.

The book has a bit of mathematics, but is aimed at those with very little mathematical experience - I think that those with a good grasp of school mathematics who want to get a glimpse into the work done on the hypothesis might do better with a different book. But if you want an easy to read overview of the different ways mathematicians have approached such problems then you should take a look at this book.

Note: in the USA this book is entitled The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics info
Paperback 342 pages  
ISBN: 0374529353
Salesrank: 1560038
Weight:1.1 lbs
Published: 2004 Farrar, Straus and Giroux
Amazon price $23.00
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Paperback 304 pages  
ISBN: 1843541017
Salesrank: 791410
Weight:0.66 lbs
Published: 2003 Atlantic Books
Amazon price £9.99
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ISBN: 1843541017
Salesrank: 1550718
Weight:0.66 lbs
Published: Atlantic Books
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Product Description

Since 1859, when the shy German mathematician Bernhard Riemann wrote an eight-page article giving a possible answer to a problem that had tormented mathematical minds for centuries, the world's greatest mathematicians have been fascinated, infuriated, and obsessed with proving the Riemann hypothesis. They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.

In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.

Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.