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eBay-Artikelnr.:333728742791
Artikelmerkmale
- Artikelzustand
- PublishedOn
- 1999-10-29
- Title
- Advanced Mathematical Methods for Scientists and Engineers
- Artist
- Not Specified
- ISBN
- 9780387989310
Über dieses Produkt
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
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- 7***e (33)- Bewertung vom Käufer.Letzter MonatBestätigter KaufAmazing price and super fast shipping. Book arrived exactly as described in the correct box meant to ship books. No bumps or dings in the corner because of the attention to packaging. I'll keep an eye on this seller for another purchase. Highly recommend this seller!!!!
- 5***w (1174)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe book that was shown was not the book that I received. Nonetheless, when I informed the seller that it wasn't the item they advertised-/they were more than willing to make it right. Since they didn't have another copy of the title I was expecting, they promptly issued an apology; and refund full refund. I really appreciated the speed at which they were willing to make things right with this transaction. I will definitely not hesitate to do business with them again. Thank You!
- f***f (1624)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent Seller, Goes the Extra Mile. The Seller Was Incredibly Communicative. Smooth Transaction, Shipped Very Quickly, As Advertised; Good Price; Well Packaged & Delivered Within a Few Days. Item in Described Promised Condition, Thank You Very Much!!!!!!!!!!! A+Sam's Letters To Jennifer By James Patterson. 9780316000741 (Nr. 394523567865)