Introduction to mathematical methods of physics
Book
·
OSTI ID:6672649
This book covers the material for a course in mathematical physics at the advanced undergraduate level. It focuses on the solutions of ordinary and partial differential equations encountered in physics and their applications to boundary-value problems and on applications of complex variables in physics. Chapter titles are as follows: vectors and matrices, abstract formalism of vector spaces, ordinary differential equations, function spaces and expansions in orthogonal sets, infinite series, evaluation of integrals, some properties of functions of a complex variable, uses of complex variable theory I: evaluation of integrals, uses of complex variable theory II: transform techniques and comformal mapping, uses of complex variable theory III: special topics (dispersion relations, contour integrals, WKB connection formulas), integral equations, and partial differential equations. 109 figures, 2 tables. (RWR)
- OSTI ID:
- 6672649
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ANALYTICAL SOLUTION
BOUNDARY-VALUE PROBLEMS
CONFORMAL MAPPING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
INTEGRAL EQUATIONS
INTEGRALS
MAPPING
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
SERIES EXPANSION
SPACE
TENSORS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
VECTORS
WKB APPROXIMATION
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ANALYTICAL SOLUTION
BOUNDARY-VALUE PROBLEMS
CONFORMAL MAPPING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
INTEGRAL EQUATIONS
INTEGRALS
MAPPING
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
SERIES EXPANSION
SPACE
TENSORS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
VECTORS
WKB APPROXIMATION