Calculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals
Summary
Provides a graduate-level introduction to the mathematics used in research in physics
Bibliography
Includes bibliographical references (pages 797-798) and index
