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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory - Softcover
Inhaltsangabe
Intended for graduate students and advanced undergraduates, this book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not provide useful solutions.
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Críticas
"This book is a reprint of the original published by McGraw-Hill \ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, "Asymptotic methods and perturbation theory". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics.
This is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic." (A.D. Wood, Mathematical Reviews)
Reseña del editor
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
ISBN 10: 1441931872
ISBN 13: 9781441931870
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Paperback. Zustand: Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported Softcover reprint of hardcover 1st ed. 1999. Artikel-Nr. 1441931872-11-1
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers (Volume 1): Asymptotic Methods and Perturbation Theory
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Zustand: Poor. Volume 1. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Book contains pen & pencil markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1000grams, ISBN:9781441931870. Artikel-Nr. 9765535
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Advanced Mathematical Methods for Scientists and Engineers I
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Advanced Mathematical Methods for Scientists and Engineers I
Verlag:
Springer US, Springer New York Dez 2010, 2010
ISBN 10: 1441931872
ISBN 13: 9781441931870
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Taschenbuch. Zustand: Neu. Neuware -The triumphant vindication of bold theories-are these not the pride and justification of our life's work -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 608 pp. Englisch. Artikel-Nr. 9781441931870
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Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory
Verlag:
Springer US, Springer New York, 2010
ISBN 10: 1441931872
ISBN 13: 9781441931870
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The triumphant vindication of bold theories-are these not the pride and justification of our life's work -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus. Artikel-Nr. 9781441931870
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Advanced Mathematical Methods for Scientists and Engineers I
Verlag:
Springer New York, 2010
ISBN 10: 1441931872
ISBN 13: 9781441931870
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Kartoniert / Broschiert. Zustand: New. A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new p. Artikel-Nr. 4173639
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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