Mathematical Methods for Physics and Engineering Third Edition By K. F. RILEY, M. P. HOBSON and S.J. BENCE

Mathematical Methods for Physics and Engineering Third Edition By K. F. RILEY, M. P. HOBSON and S.J. BENCE

Contents:

1 Preliminary algebra

2 Preliminary calculus

3 Complex numbers and hyperbolic functions

4 Series and limits

5 Partial differentiation

6 Multiple integrals

7 Vector algebra

8 Matrices and vector spaces

9 Normal modes

10 Vector calculus

11 Line, surface and volume integrals

12 Fourier series

13 Integral transforms

14 First-order ordinary differential equations

15 Higher-order ordinary differential equations

Preface:

As is natural, in the four years since the publication of the second edition of this book we have somewhat modified our views on what should be included and how it should be presented. In this new edition, although the range of topics covered has been extended, there has been no significant shift in the general level of difficulty or in the degree of mathematical sophistication required. Further, we have aimed to preserve the same style of presentation as seems to have been well received in the first two editions. However, a significant change has been made to the format of the chapters, specifically to the way that the exercises, together with their hints and answers, have been treated; the details of the change are explained below.