Mathematical Methods for PhysicistsAcademic Press, 2013年10月22日 - 1029 頁 This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others |
內容
| 1 | |
CHAPTER 2 VECTOR ANALYSIS IN CURVED COORDINATES AND TENSORS | 99 |
CHAPTER 3 DETERMINANTS AND MATRICES | 156 |
CHAPTER 4 GROUP THEORY | 223 |
CHAPTER 5 INFINITE SERIES | 284 |
CHAPTER 6 FUNCTIONS OF ACOMPLEX VARIABLE 1 | 363 |
CHAPTER 7 FUNCTIONS OF ACOMPLEX VARIABLE II | 410 |
CHAPTER 8 DIFFERENTIALEQUATIONS | 456 |
CHAPTER 13 SPECIAL FUNCTIONS | 766 |
CHAPTER 14 FOURIER SERIES | 808 |
CHAPTER 15 INTEGRAL TRANSFORMS | 846 |
CHAPTER 16 INTEGRAL EQUATIONS | 920 |
CHAPTER 17 CALCULUS OF VARIATIOS | 952 |
CHAPTER 18 NONLINEAR METHODS AND CHAOS | 992 |
Real Zeros of a Function | 1005 |
Gaussian Quadrature | 1009 |
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常見字詞
analytic angle angular momentum application assume asymptotic Bessel functions boundary conditions Calculate cartesian Chapter Chebyshev coefficients complex components computation constant contour convergence coordinate system corresponding cosine defined delta function derivative determinant developed differential equation Dirac delta function divergence eigenfunctions eigenvalues eigenvectors electrostatic elements Evaluate Example Exercise exponential finite Fourier series Fourier transform Gauss’s 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 multiplying normal Note obtain operator orthogonal particle physical potential power series problem quantum mechanics recurrence relation result rotation satisfy scalar Section self-adjoint series expansion Show singular space spherical harmonics spherical polar coordinates Substituting surface symmetry technique tensor theorem theory unit vectors values vanishes variable velocity Verify wave equation wave function Wronskian yields zero