By F. W. J. Olver,Werner Rheinbolt
Comprised of 14 chapters, this quantity starts with an advent to the elemental innovations and definitions of asymptotic research and unique capabilities, by way of a dialogue on asymptotic theories of certain 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 standard and abnormal singularities; sums and sequences; and connection formulation for ideas of differential equations. The e-book 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.
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Asymptotics and Special Functions (Computer science and applied mathematics) by F. W. J. Olver,Werner Rheinbolt