An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations

JAMES C. ROBINSON
CAMBRIDGE UNIVERSITY PRESS

Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, S o Paulo

Cambridge University Press
The Edinburgh Building, Cambridge CB2 2RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521826501

2004 Cambridge University Press

This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.

First published in print format 2004

ISBN-13 978-0-511-16243-5 eBook (Adobe Reader)
ISBN-10 0-511-16243-x eBook (Adobe Reader)
ISBN-13 978-0-521-82650-1 hardback

ISBN-10 0521826500 hardback

ISBN-13 978-0-521-53391-1 paperback
ISBN-10: 0-521-53391-0

Cambridge University Press has no responsibility for the persistence or accuracy of urls for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate.

Dedication

To
Mum and Dad,
for all their love, help and support.

An Introduction to Ordinary Differential Equations

This refreshing, introductory textbook covers standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used for either one-term or one-semester courses.

Topics such as Euler s method, difference equations, the dynamics of the logistic map and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations...

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