Mathematical Methods for PhysicistsAcademic Press, 1970 - 815 頁 This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. * Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relationsNew in the Sixth Edition: * Updated content throughout, based on users' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell's equations* A new chapter on probability and statistics* More elementary sections have been deleted |
內容
COORDINATE SYSTEMS | 72 |
TENSOR ANALYSIS | 121 |
DETERMINANTS MATRICES AND GROUP THEORY | 156 |
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angle angular appears application assume axis becomes Bessel functions boundary conditions Chapter charge coefficients complex components consider constant continuous contour convenient convergence coordinate system coordinates corresponding defined definition dependence derivative described determinant developed differential equation direction diverges elements equal EXAMPLE Exercise expansion expression factor field force Fourier function given gives included independent infinite integral leads Legendre limit linear mathematical matrix method multiply Note obtain operator origin orthogonal particle physical plane polynomials positive potential problem properties quantum mechanics r₂ relation representation result rotation satisfy scalar Section Show shown solution space spherical substitution surface tensor theorem theory transform unit values vanishes variables vector Verify wave yields zero