Asymptotic Methods for Integrals

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics
Cover of the book Asymptotic Methods for Integrals by Nico M Temme, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nico M Temme ISBN: 9789814612173
Publisher: World Scientific Publishing Company Publication: October 31, 2014
Imprint: WSPC Language: English
Author: Nico M Temme
ISBN: 9789814612173
Publisher: World Scientific Publishing Company
Publication: October 31, 2014
Imprint: WSPC
Language: English

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.

The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.

Contents:

  • Basic Methods for Integrals
  • Basic Methods: Examples for Special Functions
  • Other Methods for Integrals
  • Uniform Methods for Integrals
  • Uniform Methods for Laplace-Type Integrals
  • Uniform Examples for Special Functions
  • A Class of Cumulative Distribution Functions

Readership: Researchers in applied mathematics, engineering, physics, mathematical statistics, probability theory and biology. The introductory parts and examples will be useful for post-graduate students in mathematics.
Key Features:

  • The book gives a complete overview of the classical asymptotic methods for integrals
  • The many examples give insight in the behavior of the well-known special functions
  • The detailed explanations on how to obtain the coefficients in the expansions make the results useful for numerical applications, in particular, for computing special functions
  • The many results on asymptotic representations of special functions supplement and extend those in the NIST Handbook of Mathematical Functions
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.

The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.

Contents:

Readership: Researchers in applied mathematics, engineering, physics, mathematical statistics, probability theory and biology. The introductory parts and examples will be useful for post-graduate students in mathematics.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Fireworks in a Dark Universe by Nico M Temme
Cover of the book Stock Markets, Investments and Corporate Behavior by Nico M Temme
Cover of the book Orchid Biotechnology III by Nico M Temme
Cover of the book Intracranial Pressure and its Effect on Vision in Space and on Earth by Nico M Temme
Cover of the book Inclusive FinTech by Nico M Temme
Cover of the book ASEAN Matters! by Nico M Temme
Cover of the book Health Economics and Policy by Nico M Temme
Cover of the book Tsunami by Nico M Temme
Cover of the book Econometric Methods and Their Applications in Finance, Macro and Related Fields by Nico M Temme
Cover of the book The Complete Guide to Complementary Therapies in Cancer Care by Nico M Temme
Cover of the book Molecular, Genetic, and Cellular Advances in Cerebrovascular Diseases by Nico M Temme
Cover of the book The Thriving Professor by Nico M Temme
Cover of the book Experimental Studies of Neutrino Oscillations by Nico M Temme
Cover of the book Mapping Managerial Implications of Green Strategy by Nico M Temme
Cover of the book Global Crisis and Sustainability Technologies by Nico M Temme
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy