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Asymptotic approximations of integrals /
Asymptotic Approximations of Integrals.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press,
�1989.
|
| Colección: | Computer science and scientific computing.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn892067736 | ||
| 003 | OCoLC | ||
| 005 | 20231120111754.0 | ||
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| 008 | 141003s1989 maua ob 001 0 eng d | ||
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| 020 | |a 9781483220710 |q (electronic bk.) | ||
| 020 | |a 1483220710 |q (electronic bk.) | ||
| 020 | |z 0127625356 | ||
| 020 | |z 9780127625355 | ||
| 035 | |a (OCoLC)892067736 |z (OCoLC)898772068 |z (OCoLC)1162071289 | ||
| 050 | 4 | |a QA311 |b .W65 1989eb | |
| 055 | 1 | 1 | |a QA311 |
| 055 | 1 | 0 | |a QA311 |b W65 1989 |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
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| 100 | 1 | |a Wong, Roderick, |d 1944- | |
| 245 | 1 | 0 | |a Asymptotic approximations of integrals / |c R. Wong. |
| 264 | 1 | |a Boston : |b Academic Press, |c �1989. | |
| 300 | |a 1 online resource (xiii, 544 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Computer science and scientific computing | |
| 504 | |a Includes bibliographical references (pages 517-532). | ||
| 500 | |a Includes indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Asymptotic Approximations of Integrals; Copyright Page; Dedication; Table of Contents; Preface; Chapter I. Fundamental Concepts of Asymptotics; 1. What Is Asymptotics?; 2. Asymptotic Expansions; 3. Generalized Asymptotic Expansions; 4. Integration by Parts; 5. Watson's Lemma; 6. The Euler-Maclaurin Summation Formula; Exercises; Supplementary Notes; Chapter II. Classical Procedures; 1. Laplace's Method; 2. Logarithmic Singularities; 3. The Principle of Stationary Phase; 4. Method of Steepest Descents; 5. Perron's Method; 6. Darboux's Method; 7. A Formula of Hayman; Exercises. | |
| 505 | 8 | |a Supplementary NotesChapter III. Mellin Transform Techniques; 1. Introduction; 2. Properties of Mellin Transforms; 3. Examples; 4. Work of Handelsman and Lew; 5. Remarks and Examples; 6. Explicit Error Terms; 7. A Double Integral; Exercises; Supplementary Notes; SHORT TABLE OF MELLIN TRANSFORMS; Chapter IV. The Summability Method; 1. Introduction; 2. A Fourier Integral; 3. Hankel Transform; 4. Hankel Transform (continued); 5. Oscillatory Kernels: General Case; 6. Some Quadrature Formulas; 7. Mellin-Barnes Type Integrals; Exercises; Supplementary Notes. | |
| 505 | 8 | |6 880-01 |a 4. Hilbert Transforms5. Laplace and Fourier Transforms Near the Origin; 6. Fractional Integrals; 7. The Method of Regularization; Exercises; Supplementary Notes; Chapter VII. Uniform AsymptoticExpansions; 1. Introduction; 2. Saddle Point near a Pole; 3. Saddle Point near an Endpoint; 4. Two Coalescing Saddle Points; 5. Laguerre Polynomials I; 6. Many Coalescing Saddle Points; 7. Laguerre Polynomials II; 8. LegendreFunction; Exercises; Supplementary Notes; Chapter VIII. Double Integrals; 1. Introduction; 2. Classification of Critical Points; 3. Local Extrema; 4. Saddle Points. | |
| 505 | 8 | |a 5. A Degenerate Case6. Boundary Stationary Points; 7. Critical Points of the Second Kind; 8. Critical Points of the Third Kind; 9. A Curve of Stationary Points; 10. Laplace's Approximation; 11. Boundary Extrema; Exercises; Supplementary Notes; Chapter IX. Higher DimensionalIntegrals; 1. Introduction; 2. Stationary Points; 3. Points of Tangential Contact; 4. Degenerate Stationary Point; 5. Laplace's Approximation inRn; 6. Multiple Fourier Transforms; Exercises; Supplementary Notes; Bibliography; Symbol Index; Author Index; Subject Index. | |
| 520 | |a Asymptotic Approximations of Integrals. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Integrals. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Asymptotic expansions. | |
| 650 | 6 | |a Int�egrales. |0 (CaQQLa)201-0014174 | |
| 650 | 6 | |a Th�eorie de l'approximation. |0 (CaQQLa)201-0021344 | |
| 650 | 6 | |a D�eveloppements asymptotiques. |0 (CaQQLa)201-0019870 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Approximation theory |2 fast |0 (OCoLC)fst00811829 | |
| 650 | 7 | |a Asymptotic expansions |2 fast |0 (OCoLC)fst00819868 | |
| 650 | 7 | |a Integrals |2 fast |0 (OCoLC)fst00975518 | |
| 650 | 7 | |a Approximation |2 gnd |0 (DE-588)4002498-2 | |
| 650 | 7 | |a Asymptotische Methode |2 gnd |0 (DE-588)4287476-2 | |
| 650 | 7 | |a Integral |2 gnd |0 (DE-588)4131477-3 | |
| 650 | 7 | |a Int�egrales. |2 ram | |
| 650 | 7 | |a Approximation, th�eorie de l'. |2 ram | |
| 650 | 7 | |a D�eveloppements asymptotiques. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Wong, R. (Roderick), 1944- |t Asymptotic approximations of integrals |z 0127625356 |w (DLC) 89000137 |w (OCoLC)19220965 |
| 830 | 0 | |a Computer science and scientific computing. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780127625355 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a Chapter V. Elementary Theory of Distributions1. Introduction; 2. Test Functions and Distributions; 3. Support of Distributions; 4. Operations on Distributions; 5. Differentiation of Distributions; 6. Convolutions; 7. Regularization of Divergent Integrals; 8. Tempered Distributions; 9. Distributions of Several Variables; 10. The Distributionrλ; 11. Taylor and Laurent Series forrλ; 12. Fourier Transforms; 13. Surface Distributions; Exercises; Supplementary Notes; Chapter VI. The DistributionalApproach; 1. Introduction; 2. The Stieltjes Transform; 3. Stieltjes Transform: An Oscillatory Case. | |