# Mathematical Methods for Physics and Engineering: A Comprehensive Guide

Cambridge University Press, 13 de mar. de 2006
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains 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, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

### O que estăo dizendo -Escrever uma resenha

Năo encontramos nenhuma resenha nos lugares comuns.

### Conteúdo

 Complex numbers and hyperbolic functions 83 Series and limits 115 Partial diﬀerentiation 151 Multiple integrals 187 Vector algebra 212 Matrices and vector spaces 241 Normal modes 316 Vector calculus 334
 Special functions 577 Quantum operators 648 general and particular solutions 675 separation of variables 713 Calculus of variations 775 Integral equations 803 Complex variables 824 Applications of complex variables 871

 Line surface and volume integrals 377 Fourier series 415 Integral transforms 433 Firstorder ordinary diﬀerential equations 468 Higherorder ordinary diﬀerential equations 490 Series solutions of ordinary diﬀerential equations 531 Eigenfunction methods for diﬀerential equations 554
 Tensors 927 Numerical methods 984 Group theory 1041 Representation theory 1076 Probability 1119 Preface to the third edition page xx Direitos autorais

### Passagens mais conhecidas

Página 45 - The derivative of the product of two functions is equal to the first function times the derivative of the second plus the second times the derivative of the first.
Página 31 - Show that the sum of the squares of the first n natural numbers is given by Lay out your proof in the same way as the proof on page 212.
Página 47 - This can now be rearranged into the more convenient and memorisable form This can be expressed in words as the derivative of a quotient is equal to the bottom times the derivative of the top minus the top times the derivative of the bottom, all over the bottom squared.
Página xix - I know the kings of England, and I quote the fights historical, From Marathon to Waterloo, in order categorical ; I'm very well acquainted too with matters mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the square of the hypotenuse. I'm very good at integral and differential calculus, I know the scientific names of beings animalculous, In short, in matters vegetable, animal and mineral, I...
Página 37 - An ellipse has the property that the sum of the distances from any point on the ellipse to the two foci is equal to the length of the major axis; that is, rp + r.