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AN INTRODUCTION TO ORDINARY
DIFFERENTIAL EQUATIONS
This refreshing, introductory textbook covers standard techniques for solving ordi-
nary 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 and their solutions, and to that end the book is profusely illustrated. The
MATLAB files used to produce many of the figures are provided in an pany-
ing website.
Numerous worked examples provide motivation for, and illustration of, key
ideas and show how to make the transition from theory to practice. Exercises are
also provided to test and extend understanding; full solutions for these are available
for teachers.
AN INTRODUCTION TO ORDINARY
DIFFERENTIAL EQUATIONS
JAMES C. ROBINSON
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge , UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521826501
© Cambridge University Press 2004
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
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Cambridge University