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Home > Education > Mathematics > Symmetry-eBook
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Symmetry
 
 
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Symmetry

Symmetry is all around us. Our eyes and minds are drawn to symmetrical objects, from the pyramid to the pentagon. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. In chemistry and physics, the concept of symmetry explains the structure of crystals or the theory of fundamental particles; in evolutionary biology, the natural world exploits symmetry in the fight for survival; and symmetry—and the breaking of it—is central to ideas in art, architecture, and music.

Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities. He explores what is perhaps the most exciting discovery to date—the summit of mathematicians' mastery in the field—the Monster, a huge snowflake that exists in 196,883-dimensional space with more symmetries than there are atoms in the sun.

What is it like to solve an ancient mathematical problem in a flash of inspiration? What is it like to be shown, ten minutes later, that you've made a mistake? What is it like to see the world in mathematical terms, and what can that tell us about life itself? In Symmetry, Marcus du Sautoy investigates these questions and shows mathematical novices what it feels like to grapple with some of the most complex ideas the human mind can comprehend.

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Title of ebook: Symmetry
ISBN: 9780061625916
Publisher: HarperCollins e-books
Internet download file size: 1599 kb
Pages: 384
Released online for download: 03-11-2008
Author of eBook: du Sautoy, Marcus

Symmetry

A Journey into the Patterns of Nature

Chapter One

August: Endings and Beginnings

The universe is built on a plan the profound symmetry of which is somehow present in the inner structure of our intellect.
Paul Valéry

Midday, 26 August, the Sinai Desert

It's my 40th birthday. It's 40 degrees. I'm covered in factor 40 sun cream, hiding in the shade of a reed shack on one side of the Red Sea. Saudi Arabia shimmers across the blue water. Out to sea, waves break where the coral cliff descends to the sea floor. The mountains of Sinai tower behind me.

I'm not usually terribly bothered by birthdays, but for a mathematician 40 is significant—not because of arcane and fantastical numerology, but because there is a generally held belief that by 40 you have done your best work. Mathematics, it is said, is a young man's game. Now that I have spent 40 years roaming the mathematical gardens, is Sinai an ominous place to find myself, in a barren desert where an exiled nation wandered for 40 years? The Fields Meda ... read full excerpt from Symmetry ebook

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