By F. W. J. Olver,Werner Rheinbolt
Comprised of 14 chapters, this quantity starts off with an advent to the elemental ideas and definitions of asymptotic research and distinctive services, through a dialogue on asymptotic theories of sure integrals containing a parameter. Contour integrals in addition to integrals of a true variable are defined. next chapters care for the analytic idea of normal differential equations; differential equations with average and abnormal singularities; sums and sequences; and connection formulation for recommendations of differential equations. The ebook concludes with an evaluate of equipment utilized in estimating (as against bounding) blunders 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