This work serves as an updated companion to the classic Abramowitz and Stegun handbook, focusing on the expansion of special functions into infinite series of Jacobi and Chebyshev polynomials. It provides extensive tables of numerical coefficients and Padé approximations, specifically designed to facilitate accurate function evaluation on modern high-speed computing machinery.
This textbook offers a rigorous foundation for the numerical analysis of ordinary differential equations (ODEs), aimed at graduate students in engineering and the physical sciences. It balances mathematical theory with practical algorithms, covering essential topics such as Runge-Kutta methods, multi-step formulas, and detailed stability and error analysis. The text is specifically designed to …
Written by a professor at the U.S. Naval Academy, this classic textbook provides a clear, step-by-step introduction to the theory and application of ordinary differential equations. It is designed for students with a basic background in calculus, focusing on practical methods for solving first and second-order equations, linear equations with constant coefficients, and integration in series. Th…
This classic monograph provides a rigorous and systematic exposition of the theory of meromorphic functions—functions that are analytic in a domain except for isolated poles. Hayman focuses heavily on the Nevanlinna theory of value distribution, exploring how these functions behave near singularities and the frequency with which they take on specific values. The text is renowned for its clari…