Daniel Dubin ... 633 pages -
Publisher: Wiley-Interscience; (May, 2003) ...
Language: English -
ISBN-10: 0471266108 -
ISBN-13: 978-0471266105.
Utilizing state-of-the-art software to facilitate solutions to real-world problems: Practitioners
in the field of physical science are continually faced with a variety
of complex, real-world problems, the solution of which requires a
working knowledge of both analytical and numerical techniques. An
Introduction to Mathematical and Computational Physics Using
Mathematica® is designed to help prospective scientists develop a
practical, working knowledge of these techniques using the latest, most
efficient electronic methodologies. Written from the perspective
of a physicist rather than a mathematician, the text focuses on modern
practical applications in the physical and engineering sciences,
attacking these problems with a range of numerical and analytical
methods, both elementary and advanced. Incorporating the widely used and
highly praised Mathematica® software package, the author offers
solution techniques for the partial differential equations of
mathematical physics such as Poisson’s equation, the wave equation, and
Schrödinger’s equation, including Fourier series and transforms, Green’s
functions, the method of characteristics, grids, Galerkin and
simulation methods, elementary probability theory, and statistical
methods. The incorporation of Mathematica® offers students a wealth of practical benefits in that it: Requires little or no previous computer experience + Offers maximum flexibility and sophistication + Delivers easy access to the important ideas behind the various numerical methods + Facilitates important but often tedious analytic calculations + Is easily adapted to the application of other related software packages. Designed
for both advanced undergraduate and graduate students in the physical
and engineering sciences, as well as professionals who want to learn
these methods, An Introduction to Mathematical and Computational Physics
Using Mathematica® is also provided electronically on an accompanying
CD. The electronic version contains the full text of the book, along
with animations, user-modifiable source code, and links to related Web
material.
