Mathematical methods for physics and engineering : a comprehensive guide / K.F. Riley, M.P. Hobson, and S.J. Bence.

Includes bibliographical references and index.

Preliminary algebra -- Preliminary calculus -- Complex numbers and hyperbolic functions -- Series and limits -- Partial differentiation -- Multiple integrals -- Vector algebra -- Matrices and vector spaces -- Normal modes -- Vector calculus -- Line, surface and volume integrals -- Fourier series -- Integral transforms -- First-order ordinary differential equations -- Higher-order ordinary differential equations -- Series solutions of ordinary differential equations -- Eigenfunction methods for differential equations -- Partial differential equations: general and particular solutions -- Partial differential equations: separation of variables and other methods -- Complex variables -- Tensors -- Calculus of variations -- Integral equations -- Group theory -- Representation theory -- Probability -- Statistics -- Numerical methods -- Gamma, beta and error functions

The authors present a wide-ranging and comprehensive textbook for physical scientists who need to use the tools of mathematics for practical purposes