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Symmetry and the Monster: The Story of One of the Greatest Quests of Mathematics by Mark Ronan
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Symmetry and the Monster: The Story of One of the Greatest Quests of…

by Mark Ronan

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85273,482 (3.32)None
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Oxford University Press, USA (2007), Paperback, 272 pages

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Tags:mathematics general
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One way to classify mathematics books written for the general public is to use an axis that ranges from historical to technical. Some books are great at explaining history but stay away from mathematical details and examples, whereas other books mention little history and instead focus on describing the mathematics. In between the too extremes are various combinations.

I thought this book was heavy on the history of who did what on the way to discovering the complex symmetry structure called “The Monster” and light on the mathematical details. This may have been the only way to present the material since the subject is very complex for anyone not working in the field. Still I like books that at least attempt to describe the mathematics, leaving it too me to judge when I’m in over my head. For example “Prime Obsession” by Derbyshire and “Fermat’s Enigma” by Singh both do a great job at giving the general reader a taste of the complexity of the mathematics being performed. I would recommend “The Equation That Couldn’t Be Solved” by Livio over “Symmetry and the Monster” for those wanting a layman’s intro to group theory. ( )
1 vote gregfromgilbert | Feb 20, 2008 |
The story of the effort to classify all the finite simple groups, including the ~1980 nailing-down of the "monster" group whose size is the 54-digit number with prime factorization 2^46 · 3^20 · 5^9 · 7^6 · 11^2 · 13^3 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71. By no means a textbook on group theory, but enjoyable enough reading.
  fpagan | Jan 9, 2008 |
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Wikipedia in English (6)

Bernd Fischer

Group theory

Mathieu group

Monster group

Popular mathematics

Unsolved problems in mathematics

Book description

Amazon.com Product Description (ISBN 0192807226, Hardcover)

Mathematics is driven forward by the quest to solve a small number of major problems--the four most famous challenges being Fermat's Last Theorem, the Riemann Hypothesis, Poincare's Conjecture, and the quest for the "Monster" of Symmetry. Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest.
Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or "atoms of symmetry." Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed "the Monster"--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe.
This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

(retrieved from Amazon Fri, 24 Apr 2009 07:58:25 -0400)

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