Asymptotics and Special Functions (Computer science and by F. W. J. Olver,Werner Rheinbolt PDF

By F. W. J. Olver,Werner Rheinbolt

Asymptotics and specified capabilities presents a finished creation to 2 vital themes in classical research: asymptotics and particular features. The integrals of a true variable and contour integrals are mentioned, besides the Liouville-Green approximation and connection formulation for strategies of differential equations. Differential equations with ordinary singularities also are thought of, with emphasis on hypergeometric and Legendre features.

Comprised of 14 chapters, this quantity starts with an creation to the fundamental thoughts and definitions of asymptotic research and certain capabilities, by way of a dialogue on asymptotic theories of convinced integrals containing a parameter. Contour integrals in addition to integrals of a true variable are defined. next chapters care for the analytic concept of standard differential equations; differential equations with usual and abnormal singularities; sums and sequences; and connection formulation for suggestions of differential equations. The ebook concludes with an assessment of tools utilized in estimating (as against bounding) blunders in asymptotic approximations and expansions.

This monograph is meant for graduate mathematicians, physicists, and engineers.

Show description

Read Online or Download Asymptotics and Special Functions (Computer science and applied mathematics) PDF

Similar calculus books

Ronald G. Douglas's Banach Algebra Techniques in Operator Theory (Graduate Texts PDF

A dialogue of sure complicated themes in operator thought, delivering the required history whereas assuming basically average senior-first yr graduate classes usually topology, degree concept, and algebra. each one bankruptcy ends with resource notes which recommend extra studying in addition to reviews on who proved what and whilst, through plenty of difficulties of various hassle.

Get Elliptic Functions: A Primer PDF

Elliptic features: A Primer defines and describes what's an elliptic functionality, makes an attempt to have a extra uncomplicated method of them, and vastly decrease the problems of its vintage formulae; from which the ebook proceeds to a extra exact research of the topic whereas being quite whole in itself.

Download PDF by Daniel Zwillinger: Handbook of Differential Equations

Instruction manual of Differential Equations, moment variation is a convenient connection with many well known concepts for fixing and approximating differential equations, together with numerical tools and distinct and approximate analytical equipment. issues lined variety from ameliorations and incessant coefficient linear equations to Picard generation, besides conformal mappings and inverse scattering.

Download PDF by F. W. J. Olver,Werner Rheinbolt: Asymptotics and Special Functions (Computer science and

Asymptotics and particular capabilities presents a entire creation to 2 very important issues in classical research: asymptotics and distinct features. The integrals of a true variable and contour integrals are mentioned, besides the Liouville-Green approximation and connection formulation for options of differential equations.

Additional resources for Asymptotics and Special Functions (Computer science and applied mathematics)

Sample text

Download PDF sample

Asymptotics and Special Functions (Computer science and applied mathematics) by F. W. J. Olver,Werner Rheinbolt


by Mark
4.4

Rated 4.93 of 5 – based on 35 votes