Mathematical Methods for PhysicistsHarcourt/Academic Press, 2001 - 1112 頁 This volume contains the essential mathematical tools and techniques used to solve problems in physics. A useful textbook for all serious undergraduate students of physics. This fifth edition has a new art programme throughout the book; additional new and improved exercises; updated references for computational techniques for using Numerical Recipes and Mathematica TM; and there is a reference compendium for important mathematical methods used in physics. |
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analytic angle angular momentum asymptotic axes axis Bessel functions boundary conditions Calculate Cartesian coordinates Chapter Chebyshev coefficients complex components constant contour contravariant convergence coordinate system corresponding cosines covariant defined definition derivatives determinant developed differential equation Dirac divergence eigenfunctions eigenvalues eigenvectors elements Evaluate Example Exercise Əqi finite Fourier given Green's function Hermitian Hint independent integral inverse Laguerre Legendre polynomials linear Lorentz magnetic mathematical matrix Minkowski space multiplying Note obtain operator orthogonal orthogonal matrix partial physical potential power series quantum mechanics r₁ recurrence relation representation result rotation satisfy scalar product second-rank tensor Section Show sin² singular solution space spherical harmonics spherical polar coordinates summation surface symmetry theorem theory transformation unit vectors unitary values vanishes variable Verify Wronskian yields zero ду дх