Asymptotic analysis and perturbation theory / William Paulsen.
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TextPublication details: Boca Raton : CRC Press, c2014.Description: xxiii, 526 p. : illustrations ; 24 cmISBN: - 9781466515116 (hardcover : acidfree paper)
- 515.392 23 P332
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.392 P332 (Browse shelf(Opens below)) | Available | 135460 |
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| 515.392 K86 Optimization in function spaces | 515.392 L717 Bifurcation without parameters / | 515.392 N694 Nonlinear systems stability analysis : | 515.392 P332 Asymptotic analysis and perturbation theory / | 515.392 Sch326 Primer for chiral perturbation theory / | 515.392 Se519 Practical bifurcation and stability analysis | 515.392 Sh526 Lyapunov functionals and stability of stochastic difference equations |
"A CRC title."
Includes bibliographical references (pages 519-520) and index.
1. Introduction to asymptotics--
2. Asymptotics of integrals--
3. Speeding up convergence--
4. Differential equations--
5. Asymptotic series solutions for differential equations--
6. Difference equations--
7. Perturbation theory--
8. WKBJ theory--
9. Multiple-scale analysis--
Appendix-guide to the special functions--
Answers to odd-numbered problems--
Bibliography--
Index.
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge of differential equations. It explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations.
With varying levels of problems in each section, this self-contained text makes the difficult subject of asymptotics easy to comprehend. Along the way, it explores the properties of some important functions in applied mathematics. Although the book emphasizes problem solving, some proofs are scattered throughout to give readers a justification for the methods used.
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