McMahon / Topa A Beginner's Guide To Mathematica

1. Auflage 2006
ISBN: 978-1-4200-1039-8
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 736 Seiten

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.

Zielgruppe

Mathematicians, physicists, chemists, and electrical, mechanical aerospace and civil engineers

Autoren/Hrsg.

McMahon, David

Topa, Daniel M.

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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