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Book Categories |
Introduction | ||
1 | Numbers, symbols and rules | 1 |
2 | Functions of a single variable | 18 |
3 | Limits, small steps and smoothness | 37 |
4 | Rates of change and differentiation | 45 |
5 | Differentials - small and not so small changes | 64 |
6 | Integration - undoing the effects of differentiation | 76 |
7 | Power series: a new look at functions | 101 |
8 | Complex numbers revisited | 116 |
9 | The solution of simple differential equations - the nuts and bolts of kinetics | 126 |
10 | Functions of two or more variables - differentiation revisited | 145 |
11 | Multiple integrals - integrating functions of several variables | 160 |
12 | Statistics | 171 |
13 | Matrices - a useful tool and a form of mathematical shorthand | 188 |
14 | Determinants - functions revisited and a new notation | 206 |
15 | Vectors - a formalism for directional properties | 219 |
16 | The eigenvalue problem - an important link between theory and experiment | 236 |
17 | Curve fitting - vectors revisited | 245 |
References | 252 | |
Appendix 1 SI prefixes and symbols for nth powers of 10 | 255 | |
Appendix 2 Some trigonometry | 256 | |
Appendix 3 Derivatives of selected functions | 262 | |
Answers to problems | 263 | |
Index | 280 |
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