Overview

Full Product Details

Author:   Dominic Jordan (University of Keele) ,  Peter Smith (University of Keele)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Edition:   4th Revised edition
Volume:   No. 10
Dimensions:   Width: 17.00cm , Height: 3.00cm , Length: 25.00cm
Weight:   0.902kg
ISBN:  

9780199208258

ISBN 10:   0199208255
Pages:   544
Publication Date:   23 August 2007
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface 1: Second-order differential equations in the phase plane 2: Plane autonomous systems and linearization 3: Geometrical aspects of plane autonomous systems 4: Periodic solutions; averaging methods 5: Perturbation methods 6: Singular perturbation methods 7: Forced oscillations: harmonic and subharmonic response, stability, and entrainment 8: Stability 9: Stability by solution perturbation: Mathieu's equation 10: Liapurnov methods for determining stability of the zero solution 11: The existence of periodic solutions 12: Bifurcations and manifolds 13: Poincaré sequences, homoclinic bifurcation, and chaos Answers to the exercises Appendices A: Existence and uniqueness theorems B: Topographic systems C: Norms for vectors and matrices D: A contour integral E: Useful identities References and further reading Index

Reviews

`Review from previous edition ...classic book...The book succeeds as an exceptionally well written test for its intended audience...No doubt one of its strongest features is over 500 problems...throughout the entire book only important physical processes are described... The new edition is greatly enhanced...I strongly recommend that you take a look. The presentation is exquisitely straightforward with numerous physically interesting examples, and it is carefully and well written ' SIAM

UNEDITED UK REVIEW: Review from previous edition .,. classic book...The book succeeds as an exceptionally well written test fot its intended audience...No doubt one of its strongest features is over 500 problems...throughout the entire book only important physical processes are described... The new edition is greatly enhanced...I strongly recommend that you take a look. The presentation is exquisitely straightforward with numerous physically interesting examples, and it is carefully and well written --SIAM<br> The book should be recommended to scientists and engineers. --Mathematical Reviews<br>

Author Information

Prior to his retirement, Dominic Jordan was a professor in the Mathematics Department at Keele University. His research interests include applications of applied mathematics to elasticity, asymptotic theory, wave and diffusion problems, as well as research on the development of applied mathematics in its close association with late 19th century engineering technologies. Peter Smith is a professor in the Mathematics Department of Keele University. He has taught courses in mathematical methods, applied analysis, dynamics, stochastic processes, and nonlinear differential equations, and his research interests include fluid dynamics and applied analysis.

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