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Summary
Summary
Mathematical Tools for Physicists is a unique collection of 18 carefully reviewed articles, each one written by a renowned expert working in the relevant field. The result is beneficial to both advanced students as well as scientists at work; the former will appreciate it as a comprehensive introduction, while the latter will use it as a ready reference.
The contributions range from fundamental methods right up to the latest applications, including:
- Algebraic/ analytic / geometric methods
- Symmetries and conservation laws
- Mathematical modeling
- Quantum computation
The emphasis throughout is ensuring quick access to the information sought, and each article features:
- an abstract
- a detailed table of contents
- continuous cross-referencing
- references to the most relevant publications in the field, and
- suggestions for further reading, both introductory as well as highly specialized.
In addition, a comprehensive index provides easy access to the vast number of key words extending beyond the range of the headlines.
Author Notes
George L. Trigg, an internationally experienced and qualified senior editor in Physics, lives in New Paltz/New York. For many years he was co-editor of the most renowned expert journal in Physics, Physical Review Letters. George L. Trigg also was the editor-in-chief of the Encyclopedia of Applied Physics.
Reviews 1
Choice Review
This is a collection of 18 review articles in a wide variety of mathematical fields with applications in physics. Written by experts, they originally appeared in the 25-volume (1991-2000) Encyclopedia of Applied Physics, ed. by Trigg (v. 1, CH, Mar'92, 29-3649). They offer advanced students and researchers a quick, to-the-point introduction to these areas. This work could also be used to check a question on an area or find further reference works. The editor's goal, successfully carried out, is to assist readers with strong physics backgrounds to begin or review an area of mathematics. The review articles are well indexed and referenced and focus on the main points of application and fundamental mathematics rather than addressing proofs, sample problems, etc. Therefore, this should be seen not as a course resource but rather as a reference work. Topics covered are algebraic methods, analytic methods, Fourier and other mathematical transforms, fractal geometry, geometrical methods, Green's functions, group theory, mathematical modeling, Monte Carlo methods, numerical methods, perturbation methods, quantum computation, quantum logic, special functions, stochastic processes, symmetries and conservation laws, topology, and variational methods. ^BSumming Up: Recommended. Upper-division undergraduates through faculty. E. Kincanon Gonzaga University
Table of Contents
| Preface |
| List of Contributors |
| Algebraic MethodsA. J. Coleman |
| Analytic MethodsCharlie Harper |
| Fourier and Other Mathematical TransformsRonald N. Bracewell |
| Fractal GeometryPaul Meakin |
| Geometrical MethodsV. Alan Kostelecky |
| Greena??s FunctionKazuo Ohtaka |
| Group TheoryM. Hamermesh |
| Mathematical ModelingKenneth Hartt |
| Monte-Carlo MethodsK. Binder |
| Numerical MethodsChristina C. Christina and Kenneth R. Jackson |
| Perturbation MethodsJames Murdock |
| Quantum ComputationSamuel L. Braunstein |
| Quantum LogicDavid J. Foulis and Richard J. Greechie and Maria Louisa Dalla Chiara and Roberto Giuntini |
| Special FunctionsCharlie Harper |
| Stochastic ProcessesMelvin Lax |
| Symmetries and Conservation Laws (Gino Segr??)TopologyS. P. Smith |
| Variational MethodsG. W. F. Drake |
| Index |
