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  • Format: PDF


The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics, and combustion processes, to name but three. TOC:Foreword.- Preface.- Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples arising from Physical Problems.- Appendix.- Answers and Hints.- References.- Subject Index.…mehr

Produktbeschreibung
The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics, and combustion processes, to name but three. TOC:Foreword.- Preface.- Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples arising from Physical Problems.- Appendix.- Answers and Hints.- References.- Subject Index.

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  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 16.01.2006
  • Englisch
  • ISBN-13: 9780387232171
  • Artikelnr.: 37287249
Autorenporträt
Robin S. Johnson, University of Newcastle, Newcastle-upon-Tyne, UK
Inhaltsangabe
Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples Arising from Physical Problems.
Rezensionen
From the reviews:

"It is based on material taught by the author ... and is very much a textbook, filled with a very large number of worked examples and end-of-chapter exercises, with answers and hints for the latter in the back of the book. ... Appropriate references are cited throughout the book. ... It would be an excellent text for an applied mathematics course on singular perturbations. Its accessibility and clarity would make it equally valuable to someone not familiar with the subject ... ." (Stanley A. Berger, AIAA Journal, Vol. 44 (4), 2006)