A Beginner's Guide to Mathematica

 INTRODUCTION AND SURVEY
Why Mathematica?
Notebooks
Entering data
Data structures
Programming
Standard add-on packages
Miscellaneous packages
Palettes
Other resources
In conclusion

COMPUTATION EXAMPLES
The quadratic equation
Singular matrices and inversion
Linear regression
An inverse problem

GRAPHICS EXAMPLES
Graphics primitives
Plotting in two dimensions
Pictionary of 2D graphic types
Plotting in three dimensions
Rotation through parity states

ORDINARY DIFFERENTIAL EQUATIONS
Defining, entering and solving differential equations

TRANSFORMS
Properties of linear integral transforms
The Laplace transform
The Fourier transform
The z-transform

INTEGRATION
Basic integrals: polynomials and rational functions
Multivariate expressions
Definite integration
Integrals involving the Dirac delta function
Using the Integrate command
Monte Carlo integration

SPECIAL FUNCTIONS
The Gamma function
The Bessel functions
The Riemann zeta function
Working with Legendre and other polynomials
Spherical harmonics

Appendices
References
Index