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