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Table of contents (11 chapters)
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Front Matter
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Fundamentals
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Front Matter
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Perturbation Methods
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Front Matter
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Global Analysis
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Front Matter
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Back Matter
About this book
Reviews
"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)
Authors and Affiliations
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Department of Physics, Washington University, St. Louis, USA
Carl M. Bender
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Department of Mathematics, Yale University, New Haven, USA
Steven A. Orszag
Bibliographic Information
Book Title: Advanced Mathematical Methods for Scientists and Engineers I
Book Subtitle: Asymptotic Methods and Perturbation Theory
Authors: Carl M. Bender, Steven A. Orszag
DOI: https://doi.org/10.1007/978-1-4757-3069-2
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Hardcover ISBN: 978-0-387-98931-0Published: 29 October 1999
Softcover ISBN: 978-1-4419-3187-0Published: 01 December 2010
eBook ISBN: 978-1-4757-3069-2Published: 09 March 2013
Edition Number: 1
Number of Pages: XIV, 593
Additional Information: Originally published by McGraw Hill, 1978
Topics: Analysis, Mathematical and Computational Engineering, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation