Advertisement

Singular Perturbation Theory

Mathematical and Analytical Techniques with Applications to Engineering

  • Authors
  • R.┬áS.┬áJohnson

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pages 115-156
  3. Back Matter
    Pages 269-292

About this book

Introduction

Many areas of science and engineering produce difficult mathematical problems , i.e., problems that cannot be solved in any conventional sense. In many cases, against all the apparent odds, it is possible to construct systematic approximations that lead to useful solutions. The most powerful of these approximation techniques is singular perturbation theory.

Singular Perturbation Theory introduces all the background ideas to this subject, designed for those with only the most superficial familiarity with university-level mathematics. The methods are developed through worked examples and set exercises (with answers); the latter part of the book is devoted to applications drawn from: mechanics, physics, semi- and superconductor theory, fluid mechanics, thermal processes, chemical and biochemical reactions. In a novel approach, these are grouped together so that the reader with particular interests can readily access them.

This book is based on material that has been taught, mainly by the author, to MSc and research students in applied mathematics and engineering mathematics at the University of Newcastle upon Tyne over the last thirty years. The aim of this text is to make all the material readily accessible to the reader who wishes to learn and use the ideas to help with research problems and who does not have a strong mathematical background.

Keywords

Mathematica differential equation fluid mechanics mechanics particle physics physics

Bibliographic information

  • DOI https://doi.org/10.1007/b100957
  • Copyright Information Springer Science + Business Media, Inc. Boston 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-0-387-23200-3
  • Online ISBN 978-0-387-23217-1
  • Buy this book on publisher's site
Industry Sectors
Materials & Steel
Automotive
Chemical Manufacturing
Biotechnology
Electronics
IT & Software
Telecommunications
Consumer Packaged Goods
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering