
- 1,008 pages
- English
- PDF
- Available on iOS & Android
Mathematical Methods for Physicists
About this book
Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.
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Table of contents
- Front Cover
- Mathematical Methods for Physicists
- Copyright Page
- Table of Contents
- Dedication
- PREFACE TO THE THIRD EDITION
- PREFACE TO THE SECOND EDITION
- PREFACE TO THE FIRST EDITION
- ACKNOWLEDGMENTS
- INTRODUCTION
- CHAPTER 1. VECTOR ANALYSIS
- CHAPTER 2. COORDINATE SYSTEMS
- CHAPTER 3. TENSOR ANALYSIS
- CHAPTER 4. DETERMINANTS, MATRICES, AND GROUP THEORY
- CHAPTER 5. INFINITE SERIES
- CHAPTER 6. FUNCTIONS OF A COMPLEX VARIABLE I
- CHAPTER 7. FUNCTIONS OF A COMPLEX VARIABLE II
- CHAPTER 8. DIFFERENTIAL EQUATIONS
- CHAPTER 9. STURMāLIOUVILLE THEORYāORTHOGONAL FUNCTIONS
- CHAPTER 10. THE GAMMA FUNCTION (FACTORIAL FUNCTION)
- CHAPTER 11. BESSEL FUNCTIONS
- CHAPTER 12. LEGENDRE FUNCTIONS
- CHAPTER 13. SPECIAL FUNCTIONS
- CHAPTER 14. FOURIER SERIES
- CHAPTER 15. INTEGRAL TRANSFORMS
- CHAPTER 16. INTEGRA LEQUATIONS
- CHAPTER 17. CALCULUS OF VARIATIONS
- APPENDIX 1: REAL ZEROS OF A FUNCTION
- APPENDIX 2: GAUSSIAN QUADRATURE
- GENERAL REFERENCES
- INDEX