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The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time
 
 

The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time (Hardcover)

by Keith Devlin (Author)
4.0 out of 5 stars See all reviews (1 customer review)

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Product details

  • Hardcover: 237 pages
  • Publisher: Granta Books (15 Jan 2004)
  • Language English
  • ISBN-10: 1862076863
  • ISBN-13: 978-1862076860
  • Product Dimensions: 23.6 x 15.4 x 3 cm
  • Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 275,632 in Books (See Bestsellers in Books)
  • See Complete Table of Contents

Product Description

Review
Subtitled 'The Seven Greatest Unsolved Mathematical Problems of Our Time', Devlin's book is the purest brain food. In 2000, the Clay Foundation of Massachusetts announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1m. The solutions, if any, to the so-called Millennium Problems will play a strong role in determining the course of mathematics in the current century. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, computing and even aircraft design. Devlin describes what the seven problems are, how they came about, and what they mean for mathematics and science. In the hands of Devlin, each problem becomes a fascinating window onto the deepest questions in the field.

Sub-titled "The seven greatest unsolved mathematical puzzles of our time" the cover of this book suggests it will "make you feel like a mathematical genius". Really? If you fancy getting to grips with the likes of "The P Versus NP Problem" (about whether or not computers can solve certain kinds of mathematical problem without a few million years of electronic cogitating), then this is for you. Despite the clarity of writing, ordinary mortals should not underestimate the level of mathematical ability needed to appreciate all of this. But there is a thread that is entirely clear throughout. The enthusiasm for apparently abstract problems and the nature and beauty of mathematics shines through. So far as such a subject can be made easy, the exposition that the writer sets out here is deftly done. It may not make everyone much wiser, but many readers will be much better informed; perhaps more so than they ever believed was possible when starting page one. (Kirkus UK)

Ham & High
‘A brilliant, accessible book’

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17 of 17 people found the following review helpful:
4.0 out of 5 stars Not easy but worth the effort, 18 Sep 2006
In 2000 the Clay Institute proposed the seven current mathematical problems that they hoped would guide mathematical research in our current era. The millenium problems are a respectful nod to a similar set of mathematical problems compiled by David Hilbert in 1900; one of the original Hilbert problems, the Riemann Hypothesis, has found its way into the Clay Millenium problems list.

The millenium problems are unimaginably (to most of us) abstract and intractable, and to even attempt to explain them to the lay-person is an impossible task. Nevertheless Devlin has made a brave and worthy attempt. Each of the problems: The Riemann Hypothesis, The Yang-Mill Theory and Mass Gap Hypothesis, The P v NP problem, The Navier-Stokes Equation, The Poincare Conjecture, The Birch and Swinnerton-Dyer Conjecture, and the Hodge Conjecture, has its own chapter. Each chapter gives some historical background to the problem, a mathematical overview, the possible implications of its proof (or disproof) and as lucid an explanation as is possible of the problem itself.

The cover reviews state that you'll come away feeling much the wiser after reading this book and whilst this is true, wisdom in this instance is a double-edged sword, the insight gained from Devlin's explanations bring home the realisation of just how difficult and obscure modern day mathematical research is.

A very good book, although taxing in parts; if you're at all interested in mathematics, and unless you're here by accident I assume you must be, then I would recommend reading it.
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