More Mathematics
Differentiation and Limits
13.1 Differentiation 13.2 Total Derivatives 13.3 Derivatives of Unknown Functions 13.4 Advanced Topic: Indeterminate and Infinite Results 13.5 Finding Limits
Roots and Minimization
14.1 Numerical Root Finding 14.2 Numerical Minimization 14.3 Linear Programming
Integration and Sums
15.1 Indefinite Integrals 15.2 Integrals That Can and Cannot Be Done 15.3 Definite Integrals 15.4 Numerical Mathematics in TE 15.5 The Uncertainties of Numerical Mathematics 15.6 Numerical Integration 15.7 Numerical Evaluation of Sums and Products
Power Series
16.1 Overview 16.2 Operations on Power Series
Vectors and Matrices
17.1 Vectors 17.2 Matrices 17.3 Getting Pieces of Matrices 17.4 Multiplying Vectors and Matrices 17.5 Matrix Inversion 17.6 Basic Matrix Operations
Linear Algebra
18.1 Solving Linear Systems 18.2 Eigenvalues and Eigenvectors
Approximating Functions
19.1 Curve Fitting 19.2 Approximate Functions and Interpolation 19.3 Fourier Transforms
Differential Equations
20.1 Symbolic Solution of Differential Equations
Surfaces and Space Curves
21.1 Three-Dimensional Surface Plots 21.2 Parametric Plots
Other Plots
22.1 Contour Plots 22.2 Density Plots 22.3 Plotting Lists of Data 22.4 Some Special Plots