Search results for ""Author Nico M Temme""
John Wiley & Sons Inc Special Functions An Introduction to the
Book SynopsisThis book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given.Table of ContentsBernoulli, Euler and Stirling Numbers. Useful Methods and Techniques. The Gamma Function. Differential Equations. Hypergeometric Functions. Orthogonal Polynomials. Confluent Hypergeometric Functions. Legendre Functions. Bessel Functions. Separating the Wave Equation. Special Statistical Distribution Functions. Elliptic Integrals and Elliptic Functions. Numerical Aspects of Special Functions. Bibliography. Notations and Symbols. Index.
£147.56
World Scientific Publishing Co Pte Ltd Asymptotic Methods For Integrals
Book SynopsisThis 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.
£180.00
