Ian Stewart - Symmetry: A Very Short Introduction

Great Clarendon Street, Oxford, OX2 6DP,
United Kingdom

Oxford University Press is a department of the University of Oxford.
It furthers the Universitys objective of excellence in research, scholarship,
and education by publishing worldwide. Oxford is a registered trade mark of
Oxford University Press in the UK and in certain other countries

Joat Enterprises 2013

The moral rights of the author have been asserted

First Edition published in 2013

Impression: 1

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by licence or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the
address above

You must not circulate this work in any other form
and you must impose this same condition on any acquirer

British Library Cataloguing in Publication Data
Data available

ISBN 978-0-19-965198-6

Printed in Great Britain by
Ashford Colour Press Ltd, Gosport, Hampshire

Very Short Introductions available now:

ADVERTISING Winston Fletcher

AFRICAN HISTORY John Parker and Richard Rathbone

AGNOSTICISM Robin Le Poidevin

AMERICAN POLITICAL PARTIES AND ELECTIONS L. Sandy Maisel

THE AMERICAN PRESIDENCY Charles O. Jones

ANARCHISM Colin Ward

ANCIENT EGYPT Ian Shaw

ANCIENT PHILOSOPHY Julia Annas

ANCIENT WARFARE Harry Sidebottom

ANGLICANISM Mark Chapman

THE ANGLO-SAXON AGE John Blair

ANIMAL RIGHTS David DeGrazia

ANTISEMITISM Steven Beller

THE APOCRYPHAL GOSPELS Paul Foster it is cyclic of order 2.F">b = the remainder on dividing

ARCHAEOLOGY Paul Bahn

ARCHITECTURE Andrew Ballantyne

ARISTOCRACY William Doyle

ARISTOTLE Jonathan Barnes

ART HISTORY Dana Arnold

ART THEORY Cynthia Freeland

ATHEISM Julian Baggini

AUGUSTINE Henry Chadwick

AUTISM Uta Frith

BARTHES Jonathan Culler

BESTSELLERS John Sutherland

THE BIBLE John Riches

BIBLICAL ARCHEOLOGY Eric H. Cline

BIOGRAPHY Hermione Lee

THE BOOK OF MORMON Terryl Givens

THE BRAIN Michael O'Shea

BRITISH POLITICS Anthony Wright

BUDDHA Michael Carrithers

BUDDHISM Damien Keown

BUDDHIST ETHICS Damien Keown

CAPITALISM James Fulcher

CATHOLICISM Gerald O'Collins

THE CELTS Barry Cunliffe

CHAOS Leonard Smith

CHOICE THEORY Michael Allingham

CHRISTIAN ART Beth Williamson

CHRISTIAN ETHICS D. Stephen Long

CHRISTIANITY Linda Woodhead

CITIZENSHIP Richard Bellamy

CLASSICAL MYTHOLOGY Helen Morales

CLASSICS Mary Beard and John Henderson

CLAUSEWITZ Michael Howard

THE COLD WAR Robert McMahon

COMMUNISM Leslie Holmes

CONSCIOUSNESS Susan Blackmore

CONTEMPORARY ART Julian Stallabrass

CONTINENTAL PHILOSOPHY Simon Critchley

COSMOLOGY Peter Coles

THE CRUSADES Christopher Tyerman

CRYPTOGRAPHY Fred Piper and Sean Murphy

DADA AND SURREALISM David Hopkins

DARWIN Jonathan Howard

THE DEAD SEA SCROLLS Timothy Lim

DEMOCRACY Bernard Crick

DESCARTES Tom Sorell

DESERTS Nick Middleton

DESIGN John Heskett

DINOSAURS David Norman

DIPLOMACY Joseph M. Siracusa

DOCUMENTARY FILM Patricia Aufderheide

DREAMING J. Allan Hobson

DRUGS Leslie Iversen

DRUIDS Barry Cunliffe

THE EARTH Martin Redfern

ECONOMICS Partha Dasgupta

EGYPTIAN MYTH Geraldine Pinch

EIGHTEENTH-CENTURY BRITAIN Paul Langford

THE ELEMENTS Philip Ball

EMOTION Dylan Evans

EMPIRE Stephen Howe

ENGELS Terrell Carver

ENGLISH LITERATURE Jonathan Bate

EPIDEMIOLOGY Roldolfo Saracci

ETHICS Simon Blackburn

THE EUROPEAN UNION John Pinder and Simon Usherwood

EVOLUTION Brian and Deborah Charlesworth

EXISTENTIALISM Thomas Flynn

FASCISM Kevin Passmore

FASHION Rebecca Arnold

FEMINISM Margaret Walters

FILM MUSIC Kathryn Kalinak

THE FIRST WORLD WAR Michael Howard

FORENSIC PSYCHOLOGY David Canter

FORENSIC SCIENCE Jim Fraser

FOSSILS Keith Thomson

FOUCAULT Gary Gutting

FREE SPEECH Nigel Warburton

FREE WILL Thomas Pink

FRENCH LITERATURE John D. Lyons

THE FRENCH REVOLUTION William Doyle

FREUD Anthony Storr

FUNDAMENTALISM Malise Ruthven

GALAXIES John Gribbin

GALILEO Stillman Drake

GAME THEORY Ken Binmore

GANDHI Bhikhu Parekh

GEOGRAPHY John Matthews and David Herbert

GEOPOLITICS Klaus Dodds

GERMAN LITERATURE Nicholas Boyle

GERMAN PHILOSOPHY Andrew Bowie

GLOBAL CATASTROPHES Bill McGuire

GLOBAL WARMING Mark Maslin

GLOBALIZATION Manfred Steger

THE GREAT DEPRESSION AND THE NEW DEAL Eric Rauchway

HABERMAS James Gordon Finlayson

HEGEL Peter Singer

HEIDEGGER Michael Inwood

HIEROGLYPHS Penelope Wilson

HINDUISM Kim Knott

HISTORY John H. Arnold

THE HISTORY OF ASTRONOMY Michael Hoskin

THE HISTORY OF LIFE Michael Benton

THE HISTORY OF MEDICINE William Bynum

THE HISTORY OF TIME Leofranc Holford-Strevens

HIV/AIDS Alan Whiteside

HOBBES Richard Tuck

HUMAN EVOLUTION Bernard Wood

HUMAN RIGHTS Andrew Clapham

HUME A. J. Ayer

IDEOLOGY Michael Freeden

INDIAN PHILOSOPHY Sue Hamilton

INFORMATION Luciano Floridi

INNOVATION Mark Dodgson and David Gann

INTELLIGENCE Ian J. Deary

INTERNATIONAL MIGRATION Khalid Koser

INTERNATIONAL RELATIONS Paul Wilkinson

ISLAM Malise Ruthven

ISLAMIC HISTORY Adam Silverstein

JOURNALISM Ian Hargreaveshttp://www.flickr.com/photos/boston_public_library/collections/72157623334568494/wCP

JUDAISM Norman Solomon

JUNG Anthony Stevens

KABBALAH Joseph Dan

KAFKA Ritchie Robertson

KANT Roger Scruton

KEYNES Robert Skidelsky

KIERKEGAARD Patrick Gardiner

THE KORAN Michael Cook

LANDSCAPES AND CEOMORPHOLOGY Andrew Goudie and Heather Viles

LAW Raymond Wacks

THE LAWS OF THERMODYNAMICS Peter Atkins

LEADERSHIP Keth Grint

LINCOLN Allen C. Guelzo

LINGUISTICS Peter Matthews

LITERARY THEORY Jonathan Culler

LOCKE John Dunn

LOGIC Graham Priest

MACHIAVELLI Quentin Skinner

MARTIN LUTHER Scott H. Hendrix

THE MARQUIS DE SADE John Phillips

MARX Peter Singer

MATHEMATICS Timothy Gowers

THE MEANING OF LIFE Terry Eagleton

MEDICAL ETHICS Tony Hope

MEDIEVAL BRITAIN John Gillingham and Ralph A. Griffiths

MEMORY Jonathan K. Foster

MICHAEL FARADAY Frank A. J. L. James

MODERN ART David Cottington

MODERN CHINA Rana Mitter

MODERN IRELAND Senia Paseta

MODERN JAPAN Christopher Goto-Jones

MODERNISM Christopher Butler

MOLECULES Philip Ball

MORMONISM Richard Lyman Bushman

MUSIC Nicholas Cook

MYTH Robert A. Segal

NATIONALISM Steven Grosby

NELSON MANDELA Elleke Boehmer

NEOLIBERALISM Manfred Steger and Ravi Roy

THE NEW TESTAMENT Luke Timothy Johnson

THE NEW TESTAMENT AS LITERATURE Kyle Keefer

NEWTON Robert Iliffe

NIETZSCHE Michael Tanner

NINETEENTH-CENTURY BRITAIN Christopher Harvie and H. C. G. Matthew

THE NORMAN CONQUEST George Garnett

NORTHERN IRELAND Marc Mulholland

NOTHING Frank Close

NUCLEAR WEAPONS Joseph M. Siracusa

THE OLD TESTAMENT Michael D. Coogan