From Calculus to Chaos: An Introduction to Dynamics

Paperback | August 1, 1997

byDavid Acheson

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What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e. of how - and why - things change with time. Problems of this kind lie at the heart of much of appliedmathematics, physics, and engineering. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by highlighting only the most important and interesting ideas, which can get lost amid a snowstorm of detail in conventional texts. Thebook is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new studentsby providing a foretaste of more advanced mathematics and showing just how interesting the subject can be.

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What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e. of how - and why - things change with time. Problems of this kind lie at the heart of much of appliedmathematics, physics, and engineering. From ...

Dr D.J. Acheson Jesus College Oxford OX1 3DW Tel: 01865 279700 Fax: 01865 279687 Email: david.acheson@jesus.ox.ac.uk

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Format:PaperbackDimensions:280 pages, 9.21 × 6.14 × 0.67 inPublished:August 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198500777

ISBN - 13:9780198500773

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Table of Contents

IntroductionA brief review of calculusOrdinary differential equationsComputer solution methodsElementary oscillationsPlanetary motionWaves and diffusionThe best of all possible worlds?Fluid flowInstability and catastropheNonlinear oscillations and chaosThe not-so-simple pendulumFurther readingAppendix A: Elementary programming in QBASICAppendix B: Ten programs for exploring dynamicsSolutions to the exercisesIndex

Editorial Reviews

I enjoyed reading this book and learned quite a lot from it. I recommend it to anyone who - like myself - knows calculus better than chaos, and would like to begin rectifying the situation as painlessly as possible