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Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Hardcover
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About this item
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eBay item number:176659782546
Item specifics
- Condition
- Release Year
- 1999
- Book Title
- Advanced Mathematical Methods for Scientists and Engineers: As...
- Level
- Advanced
- ISBN
- 9780387989310
- Subject Area
- Mathematics, Technology & Engineering, Science
- Publication Name
- Advanced Mathematical Methods for Scientists and Engineers : Asymptotic Methods and Perturbation Theory
- Publisher
- Springer New York
- Item Length
- 9.3 in
- Subject
- Engineering (General), General, Applied, Mathematical Analysis
- Publication Year
- 1999
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.5 in
- Item Weight
- 80.1 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xiv, 593 Pages
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387989315
ISBN-13
9780387989310
eBay Product ID (ePID)
1621020
Product Key Features
Number of Pages
Xiv, 593 Pages
Language
English
Publication Name
Advanced Mathematical Methods for Scientists and Engineers : Asymptotic Methods and Perturbation Theory
Subject
Engineering (General), General, Applied, Mathematical Analysis
Publication Year
1999
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Hardcover
Dimensions
Item Height
0.5 in
Item Weight
80.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
99-044783
Dewey Edition
21
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), "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)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.35
Table Of Content
I Fundamentals.- 1 Ordinary Differential Equations.- 2 Difference Equations.- II Local Analysis.- 3 Approximate Solution of Linear Differential Equations.- 4 Approximate Solution of Nonlinear Differential Equations.- 5 Approximate Solution of Difference Equations.- 6 Asymptotic Expansion of Integrals.- III Perturbation Methods.- 7 Perturbation Series.- 8 Summation of Series.- IV Global Analysis.- 9 Boundary Layer Theory.- 10 WKB Theory.- 11 Multiple-Scale Analysis.
Synopsis
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., 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., 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.
LC Classification Number
QA299.6-433
Item description from the seller
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- j***z (246)- Feedback left by buyer.Past yearVerified purchaseProfessor_Bernie is an A+++ seller. 5/5 stars. Prompt communication, super fast shipping, professionally, thoroughly and thoughtful packaged carefully, and arrived in pristine condition. The seller went above and beyond with prompt, caring communication, sending extra photos to clarify the model! This seller clearly cares about their customers! What a pleasure doing business with you! Many thanks!Ultimate Support Genesis Series GS-200 Guitar Stand - Hardly Ever Used! (#176766252760)
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Seller feedback (349)
- s***i (223)- Feedback left by buyer.Past yearVerified purchaseHighly recommend seller good communication flexible with shipping on multiples. Packaging was excellent cards were each in their own card saver, w/ card board for extra support, this is the way you want to receive cards. Cards were as described thank you for my purchase.Pikachu - 012 Black Star Promo Card (Pokemon) Holo - MP (#176590092076)
- l***a (72)- Feedback left by buyer.Past 6 monthsVerified purchase⭐️⭐️⭐️⭐️⭐️ Great Experience Item arrived quickly and was very well packaged. Everything was exactly as described in the listing with no surprises. Great value for the price. Would definitely buy from this seller again. Highly recommended.Pokemon card Piplup 232/S-P Promo 2021 Japanese Nintendo Pocket Monster Rare (#176569154542)
- j***z (246)- Feedback left by buyer.Past yearVerified purchaseProfessor_Bernie is an A+++ seller. 5/5 stars. Prompt communication, super fast shipping, professionally, thoroughly and thoughtful packaged carefully, and arrived in pristine condition. The seller went above and beyond with prompt, caring communication, sending extra photos to clarify the model! This seller clearly cares about their customers! What a pleasure doing business with you! Many thanks!Ultimate Support Genesis Series GS-200 Guitar Stand - Hardly Ever Used! (#176766252760)