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Applied Mathematical Sciences

Perturbation Methods in Non-Linear Systems

Authors: Giacaglia, Georgio Eugenio Oscare

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About this book

This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ­ ential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their ad­ vantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4612-6400-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-0-387-90054-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Perturbation Methods in Non-Linear Systems
Authors
Series Title
Applied Mathematical Sciences
Series Volume
8
Copyright
1972
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-6400-2
DOI
10.1007/978-1-4612-6400-2
Softcover ISBN
978-0-387-90054-4
Series ISSN
0066-5452
Edition Number
1
Number of Pages
IX, 369
Topics

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