Computer Science with MATHEMATICA: Theory and Practice for Science, Mathematics, and Engineering

Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. In this practical resource Roman Maeder shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. Besides treating traditional computer science topics, he demonstrates how scientists and engineers can use these computer-based tools to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book will also prove useful to Mathematica users at all levels. Covering the latest release of Mathematica, the book includes useful tips and techniques to help even seasoned users.

Table of Contents

Chapter 1 Computers and Science
Chapter 2 Mathematca’s Programming Language
Chapter 3 Itration and Recursion
Chapter 4 Structure of Programs
Chapter 5 Abstract Data Tpes
Chapter 6 Algorithms for Searching and Sorting
Chapter 7 Complexity of Algorithms
Chapter 8 Operations on Vectors and Matrices
Chapter 9 List Processing and Recursion
Chapter 10 Rule-Based Programming
Chapter 11 Functions
Chapter 12 Theory of Computation
Chapter 13 Database
Chapter 14 Object-Oriented Prograing
Appendix A Furter Reading
Appendix B More Inf ormation About Mathemca