Mathematical Methods for Physicists

Provides mathematical tools and techniques used to solve problems in physics. This work covers the mathematics necessary for advanced study in physics and engineering. It includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

Klappentext

Arfken and Weber's Mathematical Methods for Physicists provides upper-level undergraduate and graduate students with the paramount coverage of the mathematics necessary for advanced study in physics and engineering. It provides the essential mathematical methods that aspiring physicists are likely to encounter as students or beginning researchers. Appropriate for a physics service course, as well as for more advanced coursework, this is the book of choice in the field.

Inhalt

1. Vector Analysis
   
   2. Vector Analysis in Curved Coordinates and Tensors
   3. Determinants and Matrices
   4. Group Theory
   5. Infinite Series
   6. Functions of a Complex Variable I: Analytic Properties, Mapping
   7. Functions of a Complex Variable II
   8. The Gamma Function (Factorial Function)
   9. Differential Equations
   10. Strum-Liouville Theory-Orthogonal Functions
   11. Bessel Functions
   12. Legendre Functions
   13. More Special Functions
   14. Fourier Series
   15. Integral Transforms
   16. Integral Equations
   17. Calculus of Variations
   18. Nonlinear Methods and Chaos
   19. Probability