Riley K.F., Hobson M.P., Bence S.J. Mathematical Methods for Physics and Engineering

3rd ed. — Cambridge University Press, 2006. — 1333 p. — ISBN 0521679710.The third edition of this highly acclaimed undergraduate text book is suitable for teaching all the mathematics ever likely to be needed for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics covered and many worked examples, it contains more than 800 exercises. A number of additional topics have been included and the text has undergone significant reorganisation in some areas.Preface to the third edition.
Preface to the second edition.
Preface to the first edition.
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.
Special functions.
Quantum operators.
Partial differential equations: general and particular solutions.
Partial differential equations: separation of variables and other methods.
Calculus of variations.
Integral equations.
Complex variables.
Applications of complex variables.
Tensors.
Numerical methods.
Group theory.
Representation theory.
Probability.
Statistics.True PDFRiley K.F., Hobson M.P., Bence S.J. Instructor's Solutions for Mathematical Methods for Physics and Engineering