Advanced Mathematical Methods for Scientists and Engineers I Asymptotic Methods and Perturbation Theory
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 dif...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1999, 1999
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| Edition: | 1st ed. 1999 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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