Advanced Mathematical Methods
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Advanced Mathematical Methods for Scientists and Engineers I
Author: Carl M. Bender
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-10-29
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Advanced Mathematical Methods
Author: Adam Ostaszewski
language: en
Publisher: Cambridge University Press
Release Date: 1990
This text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics.
Advanced Mathematical Methods with Maple
Author: Derek Richards
language: en
Publisher: Cambridge University Press
Release Date: 2002
A user-friendly student guide to computer-assisted algebra with mathematical software packages such as Maple.