Texts in Applied Mathematics

Introduction to Perturbation Methods

Authors: Holmes, Mark H.

  • Lots of examples and exercises
  • Class test for over 20 years
  • Includes delay equations
see more benefits

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4614-5477-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-1-4614-5476-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-1-4899-9613-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

One hundred new pages added including new material on  transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

About the authors

Mark Holmes has written a number of successful textbooks and is Professor at Rensselaar Polytechnic Institute.

Reviews

From the reviews of the second edition:

“The book is composed of 6 chapters with the topics of Introduction to Asymptotic Approximations, Matched Asymptotic Expansions … Second-Order Difference Equations, and Delay Equations. … enjoyed reading this book that has a refreshing flavor to perturbation methods. … The book can be used for both undergraduate and graduate courses in mathematics and physics and also in aerospace, electrical and mechanical engineering areas. Those working in industry will find this book useful in addressing some of the nonlinear problems in real-world situations.” (D. Subbaram Naidu, Amazon.com, March, 2013)

“This introduction to perturbation methods is a rich, well-written … textbook. … Students and their instructors will benefit greatly from this author’s evident broad understanding of applied mathematics and mechanics and his uncommon pedagogical abilities and scholarship. … Holmes’s text will be tough to beat for the ambitious and talented.” (Robert E. O’Malley, Jr., SIAM Review, Vol. 55 (3), 2013)

“This is the second edition of the well-known book widely used by researchers in applied mathematics and physics, engineers, graduate and postgraduate students. Its distinctive feature is that it includes a variety of substantive physically motivated examples on various kinds functional equations and also exercises both in and at the end of every chapter.” (Boris V. Loginov, zbMATH, Vol. 1270, 2013)


Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4614-5477-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-1-4614-5476-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-1-4899-9613-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Introduction to Perturbation Methods
Authors
Series Title
Texts in Applied Mathematics
Series Volume
20
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5477-9
DOI
10.1007/978-1-4614-5477-9
Hardcover ISBN
978-1-4614-5476-2
Softcover ISBN
978-1-4899-9613-8
Series ISSN
0939-2475
Edition Number
2
Number of Pages
XVIII, 438
Topics