Mathematical Methods for Physicists

A Comprehensive Guide

By
  • George Arfken, Miami University, Oxford, Ohio, USA
  • Hans Weber, University of Virginia, USA
  • Frank Harris, University of Florida, USA

Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises.

Audience
Graduate students and advanced undergraduates in Physics, Engineering, Applied Mathematics, Chemistry, and Environmental Science/Geophysics; also practitioners and researchers in these fields.

Hardbound, 1220 Pages

Published: January 2012

Imprint: Academic Press

ISBN: 978-0-12-384654-9

Contents

    1. Mathematical Preliminaries
    2. Determinants and Matrices
    3. Vector Analysis
    4. Tensors and Differential Forms
    5. Vector Spaces
    6. Eigenvalue Problems
    7. Ordinary Differential Equations
    8. Sturm-Liouville Theory
    9. Partial Differential Equations
    10. Green's Functions
    11. Complex Variable Theory
    12. Further Topics in Analysis
    13. Gamma Function
    14. Bessel Functions
    15. Legendre Functions
    16. Angular Momentum
    17. Group Theory
    18. More Special Functions
    19. Fourier Series
    20. Integral Transforms
    21. Integral Equations
    22. Calculus of Variations
    23. Probability and Statistics

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