![]() Leibniz’s first publication of his calculus, 1684ĥ THE MATHEMATICS OF NATURE: NEWTON’S PRINCIPIA 5.1 Newton’s Principia, Book I 5.1.1 5.1.2 5.1.3 5.1.4 5.1.5 5.1.6 ![]() The chronology of Newton’s calculus Newton’s treatise on fluxions and series, 1671 Newton’s first publication of his calculus, 1704 1655 Wallis’ use of indivisibles, 1656 Mercator and the rectangular hyperbola, 1668Ī method of cubature Torricelli’s infinite solid, 1644 Viète’s introduction to the analytic art, 1591 Fermat and analytic geometry, 1636 Descartes and analytic geometry, 1637Ĭavalieri’s theory of indivisibles, 1635 Wallis and Hobbes on indivisibles, 1656ģ FORESHADOWINGS OF CALCULUS 3.1 Methods for tangents 3.1.1 3.1.2įermat’s quadrature of higher hyperbolas, early 1640s Brouncker and the rectangular hyperbola, c. Stevin’s decimal fractions, 1585 Napier’s logarithms, 1614 825 adĢ FRESH IDEAS 2.1 Improvements in calculation 2.2 ![]() 250 bc The Arithmetica of Diophantus, (after 150 ad)Ĭompleting the square, c. 250 bc Euclid’s proof of the infinity of primes, c. 250 bc Archimedes on circle measurement, c. 250 bc Euclid’s construction of proportionals, c. 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 book in any other binding or cover and you must impose the same condition on any acquirer British Library Cataloguing in Publication Data Data available Library of Congress Cataloging in Publication Data Data available Typeset by Newgen Imaging Systems (P) Ltd., Chennai, India Printed in Great Britain on acid-free paper by CPI Antony Rowe, Chippenham, Wiltshire ISBN 978–019–922690–0 10 9 8 7 6 5 4 3 2 1įor Tom, who loves mathematics, and for Ellie, who loves old books.Īcknowledgements Introduction 1 BEGINNINGS 1.1 Beginnings of arithmetic 1.1.1 1.1.2īeginnings of geometry 1.2.1 1.2.2 1.2.3 1.2.4 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, or under terms agreed with the appropriate reprographics rights organization. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Shanghai Taipei Toronto With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea Switzerland Thailand Turkey Ukraine Vietnam Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York © Oxford University Press 2008 The moral rights of the authors have been asserted Database right Oxford University Press (maker) First published 2008 All rights reserved. Great Clarendon Street, Oxford ox2 6dp Oxford University Press is a department of the University of Oxford. M AT HEM ATICS EM ERGING A SO URC EB O OK 1540–1900 MATH E M ATI CS E M E RGI N G A S OURC EB O OK 1540–1900
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