CiNii 図書 - 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. This book shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. In addition to treating traditional computer science topics, an introductory course should show scientists and engineers how these computer-based tools can be used to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book should 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.

Preface
1. About this book
2. Computers and science
3. Mathematica's programming language
4. Iteration and recursion
5. Structure of programs
6. Abstract data types
7. Algorithms for searching and sorting
8. Complexity of algorithms
9. Operations on vectors and matrices
10. List processing and recursion
11. Rule-based programming
12. Functions
13. Theory of computation
14. Databases
15. Object-oriented programming
Appendix A. Further reading
Appendix B. More information about Mathematica
Index.

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Computer science with Mathematica : theory and practice for science, mathematics, and engineering

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