Essential Mathematical Methods for Physicists, ISEAcademic Press, 2004 - 932 pages This new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems. REVIEWERS SAY: "Examples are excellent. They cover a wide range of physics problems." --Bing Zhou, University of Michigan "The ideas are communicated very well and it is easy to understand...It has a more modern treatment than most, has a very complete range of topics and each is treated in sufficient detail....I'm not aware of another better book at this level..." --Gary Wysin, Kansas State University
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Table des matières
1 Vector Analysis | 1 |
2 Vector Analysis in Curved Coordinates and Tensors | 96 |
3 Determinants and Matrices | 159 |
4 Group Theory | 229 |
5 Infinite Series | 257 |
Analytic Properties Mapping | 318 |
Calculus of Residues | 372 |
8 Differential Equations | 410 |
13 Hermitie and Laguerre Polynomials | 638 |
14 Fourier Series | 663 |
15 Integral Transforms | 689 |
16 Partial Differential Equations | 756 |
17 Probability | 782 |
18 Calculus of Variations | 826 |
19 Nonlinear Methods and Chaos | 867 |
Appendix 1 Real Zeros of a Function | 905 |
9 SturmLiouville TheoryOrthogonal Functions | 482 |
10 The Gamma Function Factorial Function | 523 |
11 Legendre Polynomials and Spherical Harmonics | 552 |
12 Bessel Functions | 589 |
| 911 | |
Inside back cover | 933 |
Autres éditions - Tout afficher
Essential Mathematical Methods for Physicists, ISE Hans J. Weber,George B. Arfken Aucun aperçu disponible - 2003 |
Expressions et termes fréquents
analytic angle angular momentum apply asymptotic axes Bessel functions boundary conditions Cartesian Chapter coefficients complex components constant contour convergence coordinate system corresponding cosine defined derivatives determinant differential equation divergence eigenfunctions eigenvalues Euler EXAMPLE Exercise expansion exponential finite Fourier series Fourier transform given Hermitian Hint independent integral interval inverse Laguerre Laplace transform Laplace's equation Legendre polynomials linear mathematical matrix method multiplying Note obtain operator orthogonal oscillator parameter particle physics plane potential power series problem quantum mechanics radial random variable recurrence relation representation rotation saddle point satisfy Section Show singular solution solved space spherical polar coordinates Substituting surface tensor theorem theory tion uniform convergence unit vectors vanishes velocity wave function Wronskian yields zero дх მე მყ
Fréquemment cités
Page 866 - ... order where the appearance of disorder reigned. Then it enables us to see at a glance each of these elements in the place it occupies in the whole. Not only is the new fact valuable on its own account, but it alone gives a value to the old facts it unites. Our mind is as frail as our senses are; it would lose itself in the complexity of the world if that complexity were not harmonious...
Références à ce livre
Rechenmethoden der Physik: Mathematischer Begleiter zur Experimentalphysik May-Britt Kallenrode Aucun aperçu disponible - 2005 |