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Functions of a Single Variable: Differentiation | p. 1 |
Functions of a Single Variable: Integration | p. 14 |
Series and Limits | p. 26 |
Functions Defined by Integrals | p. 42 |
Complex Numbers | p. 54 |
Ordinary Differential Equations | p. 64 |
Power Series Solutions of Differential Equations | p. 81 |
Orthogonal Polynomials | p. 92 |
Fourier Series | p. 107 |
Fourier Transforms | p. 118 |
Operators | p. 130 |
Functions of Several Variables | p. 144 |
Vectors | p. 166 |
Plane Polar Coordinates and Spherical Coordinates | p. 179 |
The Classical Wave Equation | p. 191 |
The Schrodinger Equation | p. 205 |
Determinants | p. 220 |
Matrices | p. 231 |
Matrix Eigenvalue Problems | p. 247 |
Vector Spaces | p. 264 |
Probability | p. 278 |
Statistics: Regression and Correlation | p. 295 |
Numerical Methods | p. 306 |
References | p. 323 |
Answers to Selected Problems | p. 327 |
Index | p. 341 |
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