Rd ed. - Cambridge University Press, 2006. - 534 pages.
This set consists of the third edition of this highly acclaimed undergraduate textbook and its solutions manual containing complete worked solutions to half of the problems. Suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences, the text provides lucid descriptions of all the topics, many worked examples, and over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, the remaining exercises have no hints, answers or worked solutions and can be used for unaided homework.
Contents
Prefaces;
Preliminary algebra;
Preliminary calculus;
Complex numbers and hyperbolic functions;
Series and limits;
al differentiation;
Multiple integrals;
ector algebra;
Matrices and vector spaces;
Normal modes;
ector calculus;
Line, surface and volume integrals;
Fourier series;
ntegral 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;
al differential equations: general and particular;
al differential equations: separation of variables;
Calculus of variations;
ntegral equations;
Complex variables;
Application of complex variables;
Tensors;
Numerical methods;
Group theory;
Representation theory;
Probability;
Statistics; Index.
This set consists of the third edition of this highly acclaimed undergraduate textbook and its solutions manual containing complete worked solutions to half of the problems. Suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences, the text provides lucid descriptions of all the topics, many worked examples, and over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, the remaining exercises have no hints, answers or worked solutions and can be used for unaided homework.
Contents
Prefaces;
Preliminary algebra;
Preliminary calculus;
Complex numbers and hyperbolic functions;
Series and limits;
al differentiation;
Multiple integrals;
ector algebra;
Matrices and vector spaces;
Normal modes;
ector calculus;
Line, surface and volume integrals;
Fourier series;
ntegral 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;
al differential equations: general and particular;
al differential equations: separation of variables;
Calculus of variations;
ntegral equations;
Complex variables;
Application of complex variables;
Tensors;
Numerical methods;
Group theory;
Representation theory;
Probability;
Statistics; Index.