Includes bibliographical references (p. [693]-694) and index.

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

Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch - or find answers to specific questions - one can be quickly overwhelmed. A Beginner's Guide to Mathematica offers a simple, step-by-step approach to help math-savvy newcomers build the skills needed to use the software in practice. Concise and easy to use, this book teaches by example and points out potential pitfalls along the way. The presentation starts with simple problems and discusses multiple solution paths, ranging from basic to elegant, to gradually introduce the Mathematica toolkit. More challenging and eventually cutting-edge problems follow.The authors place high value on notebook and file system organization, cross-platform capabilities, and data reading and writing. The text features an array of error messages you will likely encounter and clearly describes how to deal with those situations. While it is by no means exhaustive, this book offers a non-threatening introduction to Mathematica that will teach you the aspects needed for many practical applications, get you started on performing specific, relatively simple tasks, and enable you to build on this experience and move on to more real-world problems.