Mathematical Methods for Physicists
Academic Press, 2013年10月22日 - 1008 頁
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
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 12 LEGENDRE FUNCTIONS
CHAPTER 13 SPECIAL FUNCTIONS
CHAPTER 14 FOURIER SERIES
CHAPTER 15 INTEGRAL TRANSFORMS
CHAPTER 16 INTEGRA LEQUATIONS
CHAPTER 17 CALCULUS OF VARIATIONS
REAL ZEROS OF A FUNCTION
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analytic angle angular momentum assume asymptotic Bessel functions boundary conditions Calculate cartesian Chapter Chebyshev coefficients complex components computation constant contour convergence coordinate system corresponding cosh cosine defined definition derivatives determinant developed differential equation Dirac delta function divergence eigenfunctions eigenvalues eigenvectors electrostatic elements Evaluate example exponential finite Fourier series Fourier transform given Green's function Hermitian Hint hypergeometric independent infinite integral equation integral representation integrand interval inverse Laguerre Laplace transform Legendre polynomials linear magnetic mathematical matrix multiply Note obtain operator orthogonal parameter partial physical potential power series problem quantum mechanics recurrence relation result rotation satisfy scalar Section self-adjoint series expansion Show singular sinh space spherical harmonics spherical polar coordinates subroutine Substituting surface symmetry technique tensor theorem theory tion unit vectors unitary values vanishes variable velocity Verify wave function Wronskian yields zero