Since the publication of the first edition of this book, both through teaching the material it covers and as a result of receiving helpful comments from colleagues, we have become aware of the desirability of changes in a number of areas. The most important of these is that the mathematical preparation of current senior college and university entrants is now less thorough than it used to be. To match this, we decided to include a preliminary chapter covering areas such as polynomial equations, t

Preface to the second edition
Preface to the first edition
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
16 Series solutions of ordinary differential equations
17 Eigenfunction methods for differential equations
18 Partial differential equations: general and particular solutions
19 Partial differential equations: separation of variables and other methods
20 Complex variables
21 Tensors
22 Calculus of variations
23 Integral equations
24 Group theory
25 Representation theory
26 Probaility
27 Statistics
28 Numerical methods
Index