Mathematical Methods for Physicists

封面
Academic Press, 2013年10月22日 - 1008 頁
1 評論
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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LibraryThing Review

用戶評語  - IvanIdris - LibraryThing

As far as I remember this book was required reading for the “Special Functions” course. You could argue that this is not a pure Physics book. However, it is certainly not a pure Mathematics book ... 閱讀評論全文

內容

CHAPTER 1 VECTOR ANALYSIS
1
CHAPTER 2 COORDINATE SYSTEMS
85
CHAPTER 3 TENSOR ANALYSIS
118
CHAPTER 4 DETERMINANTS MATRICES AND GROUP THEORY
168
CHAPTER 5 INFINITE SERIES
277
CHAPTER 6 FUNCTIONS OF A COMPLEX VARIABLE I
352
CHAPTER 7 FUNCTIONS OF A COMPLEX VARIABLE II
396
CHAPTER 8 DIFFERENTIAL EQUATIONS
437
CHAPTER 12 LEGENDRE FUNCTIONS
637
CHAPTER 13 SPECIAL FUNCTIONS
712
CHAPTER 14 FOURIER SERIES
760
CHAPTER 15 INTEGRAL TRANSFORMS
794
CHAPTER 16 INTEGRA LEQUATIONS
865
CHAPTER 17 CALCULUS OF VARIATIONS
925
REAL ZEROS OF A FUNCTION
963
GAUSSIAN QUADRATURE
968

CHAPTER 9 STURMLIOUVILLE THEORYORTHOGONAL FUNCTIONS
497
CHAPTER 10 THE GAMMA FUNCTION FACTORIAL FUNCTION
539
CHAPTER 11 BESSEL FUNCTIONS
573
GENERAL REFERENCES
974
INDEX
975
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