This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems.

Accompanying the book, as with all TELOS sponsored publications, is an electronic component. In this case it is a DOS-Diskette produced by one of the coauthors, Paul Wellin. This diskette consists of Mathematica notebooks and packages which contain the codes for all examples and exercises in the book, as well as additional materials intended to extend many ideas covered in the text. It is of great value to teachers, students, and others using this book to learn how to effectively program with Mathematica .

For more than 25 years, Mathematica has been the principal computation environment for millions of innovators, educators, students, and others around the world. This book is an introduction to Mathematica. The goal is to provide a hands-on experience introducing the breadth of Mathematica with a focus on ease of use. Readers get detailed instruction with examples for interactive learning and end-of-chapter exercises. Each chapter also contains authors' tips from their combined 50+ years of Mathematica use.

This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer. This book provides insight into more complex situations that can be investigated by hand. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Other parts consider the built-in graphics and show how to make pictures without programming. This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. The reader is also introduced to differentiable mapping to show the analysis of critical points of functions and the developments in differential geometry that are required to study minimal surfaces. This book is a valuable resource for graduate students in mathematics, mathematics education, engineering, and the sciences.

This book introduces the basic concepts of MathLink and explains how to extend Mathematica using MathLink. Miyaji and Abbott show how to write Mathlink programs and how to apply Mathlink in a variety of situations. MathLink comprises a simple and powerful way to write programs that communicate with Mathematica and offers access to a wide range of network resources. Writing network programs is the most demanded skill in the Internet Age and MathLink provides a sophisticated level of network programming to the nonprogrammer, scientist, engineer, and student. Mathematica's powerful "problem-oriented" programming language includes symbolic and numerical computation, and excellent graphics capabilities, which enables users to write compact and elegant programs that are much shorter than in conventional languages. Within MathLink one can write programs that communicate with Mathematica. Since most electronic devices are connected to, or controlled by, a computer, it is straightforward to interface them to Mathematica. Once your device is connected to Mathematica, you can manipulate the data within Mathematica. The authors examine in detail source code for a range of practical examples ranging from elementary to advanced, allowing readers to easily adapt the code to suit their own practical needs. The text assumes that the reader is already familiar with Mathematica.