Singular Perturbation Theory: Mathematical and Analytical Techniques with Applic

Description: Singular Perturbation Theory by R.S. Johnson The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Written in a form that should enable the relatively inexperienced (or new) worker in the field of singular perturbation theory to learn and apply all the essential ideasDesigned as a learning tool. The numerous examples and set exercises are intended to aid this process Back Cover 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. Table of Contents Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples Arising from Physical Problems. Review 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) Long Description The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible. Review Quote 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) Feature Written in a form that should enable the relatively inexperienced (or new) worker in the field of singular perturbation theory to learn and apply all the essential ideas Designed as a learning tool. The numerous examples and set exercises are intended to aid this process Details ISBN1441935878 Author R.S. Johnson Publisher Springer-Verlag New York Inc. Year 2010 ISBN-10 1441935878 ISBN-13 9781441935878 Format Paperback Publication Date 2010-11-19 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States DEWEY 515.392 Edition 1st Short Title SINGULAR PERTURBATION THEORY Language English Media Book Series Mathematical and Analytical Techniques with Applications to Engineering Subtitle Mathematical and Analytical Techniques with Applications to Engineering Pages 292 Illustrations XVI, 292 p. AU Release Date 2010-11-19 NZ Release Date 2010-11-19 US Release Date 2010-11-19 UK Release Date 2010-11-19 Edition Description Softcover reprint of hardcover 1st ed. 2005 Alternative 9780387232003 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96288712;

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