Asymptotic approximations of integrals

By: R. WongMaterial type: TextTextPublication details: Philadelphia: SIAM, [c2001]Description: 543 pISBN: 9780898714975Subject(s): MathematicsLOC classification: QA311
Contents:
1. Fundamental Concepts of Asymptotics 2. Classical Procedures 3. Mellin Transform Techniques 4. The Summability Method 5. Elementary Theory of Distributions 6. The Distributional Approach 7. Uniform Asymptotic Expansions 8. Double Integrals 9. Higher Dimensional Integrals
Summary: Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. The book contains the "distributional method," which is not available elsewhere. Most of the examples in this text come from concrete applications. ---Summary provided by publisher
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Mathematic Rack No 5 QA311 (Browse shelf (Opens below)) Available Billno:7242368717; Billdate: 2017-11-08 00815
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1. Fundamental Concepts of Asymptotics
2. Classical Procedures
3. Mellin Transform Techniques
4. The Summability Method
5. Elementary Theory of Distributions
6. The Distributional Approach
7. Uniform Asymptotic Expansions
8. Double Integrals
9. Higher Dimensional Integrals

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. The book contains the "distributional method," which is not available elsewhere. Most of the examples in this text come from concrete applications. ---Summary provided by publisher

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