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Mathematical Physics
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Table of Contents

1. A Review of Vector and Matrix Algebra Using Subscript/Summation Conventions
2. Differential and Integral Operations on Vector and Scalar Fields
3. Curvilinear Coordinate Systems
4. Introduction to Tensors
5. The Dirac Delta-Function
6. Introduction to Complex Variables
7. Fourier Series
8. Fourier Transforms
9. Laplace Transforms
10. Differential Equations
11. Solutions to Laplace's Equation
12. Integral Equations
13. Advanced Topics in Complex Analysis
14. Tensors in Non-Orthogonal Coordinate Systems
15. Introduction to Group Theory
A. The Levi-Civita Identitiy
B. The Curvilinear Curl
C. The Double Integral Identity
D. Green's Function Solutions
E. Pseudovectors and the Mirror Test
F. Christoffel Symbols and Covariant Derivatives
NEW APPENDIX: The Calculus of Variation

About the Author

Bruce Kusse is Professor of Applied and Engineering Physics at Cornell University, where he has been teaching since 1970. He holds a PhD from the MIT in electrical engineering with a specialty in plasma physics.

Erik Westwig is a software engineer with Palisade Corporation, New Jersey. He holds an MS in applied physics from Cornell University.

Reviews

"Any lecturer on mathematical methods is also looking for worked examples and numerous exercises. This book passes these tests admirably. [...] In summary, a welcome addition to the good books in this area."
Australian PHYSICS

"Insgesamt ist das Buch allen Studierenden zu empfehlen, die über den Tellerrand eines mathematischen Grundkurses hinausgehen wollen und gleichzeitig physikalische Motivationen suchen."
Physik Journal
Januar 2008

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