By F. W. J. Olver,Werner Rheinbolt
Comprised of 14 chapters, this quantity starts off with an advent to the fundamental thoughts and definitions of asymptotic research and certain features, by means 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 take care of the analytic concept of standard differential equations; differential equations with average and abnormal singularities; sums and sequences; and connection formulation for recommendations of differential equations. The booklet concludes with an evaluate of tools utilized in estimating (as against bounding) error in asymptotic approximations and expansions.
This monograph is meant for graduate mathematicians, physicists, and engineers.
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Asymptotics and Special Functions (Computer science and applied mathematics) by F. W. J. Olver,Werner Rheinbolt