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Symmetry and the Monster: The Story of One of the Greatest Quests of Mathematics

Symmetry and the Monster: The Story of One of the Greatest Quests of Mathematics

Paperback

Biographies GeneralGeneral MathematicsGeometry

ISBN10: 0192807234
ISBN13: 9780192807236
Publisher: Oxford University Press
Published: Sep 4 2007
Pages: 264
Weight: 0.48
Height: 0.72 Width: 5.27 Depth: 7.69
Language: English
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, Poincaré'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 Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry.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.

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