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, trigonometric identities, coordinate geometry, partial fractions, binomial expansions, necessary and sufficient condition and proof by induction and contradiction.
本书为英文版。
目录
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
