Mathematical Methods for PhysicistsAcademic Press, 22 de out. de 2013 - 1029 páginas 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 terminologyGroup theoretic methods brought together and expanded in a new chapterAn entirely new chapter on nonlinear mathematical physicsSignificant revisions of the differential equations and complex variables chaptersMany new or improved exercisesForty new or improved figuresAn update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others |
Conteúdo
| 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 |
CHAPTER 9 STURMLIOUVILLE THEORYORTHOGONAL FUNCTIONS | 537 |
CHAPTER 10 THE GAMMA FUNCTION FACTORIAL FUNCTION | 591 |
11 BESSEL FUNCTIONS | 627 |
12 LEGENDRE FUNCTIONS | 693 |
GENERAL REFERENCES | 1016 |
| 1017 | |
Outras edições - Ver todos
Mathematical Methods for Physicists George Brown Arfken,Hans-Jurgen Weber Prévia não disponível - 1995 |
Mathematical Methods for Physicists George Brown Arfken,Hans-Jurgen Weber Prévia não disponível - 1995 |
Termos e frases comuns
a₁ analytic angular momentum asymptotic axis Bessel functions boundary conditions C₁ Calculate cartesian Chapter Chebyshev coefficients complex components computation constant contour convergence coordinate system corresponding cosine defined delta function derivative developed differential equation Dirac Dirac delta function divergence eigenfunctions eigenvalues eigenvectors elements Evaluate Example Exercise exponential finite Fourier series Fourier transform given Green's function Hermitian Hint hypergeometric independent infinite integral equation integrand inverse Laguerre Laplace transform Legendre polynomials linear mathematical matrix Note obtain operator orthogonal partial physical potential power series problem quantum mechanics r₁ r₂ recurrence relation rotation satisfy scalar Section self-adjoint Show singular solution space spherical harmonics Substituting surface symmetry technique tensor theorem theory unit vectors values vanishes variable Verify wave function Wronskian x₁ zero Απ ду дх