PROBLEM SOLVING ENVIRONMENTS AND SYMBOLIC COMPUTING

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Chapter 1 PROBLEM SOLVING ENVIRONMENTS AND SYMBOLIC COMPUTING Richard J. Fateman University of California, Berkeley Abstract What role should be played by symbolic mathematical computation facilities in scientific and engineering “problem solving environments”? Drawing upon stan- dard facilities such as numerical and graphical libraries, symbolic computation should be useful for: The creation and manipulation of mathematical models; The production of custom optimized numerical software; The solution of delicate classes of mathematical problems that require handling beyond that available in traditional machine-supported floating-point computation.

• symbolic math systems as “glue
• useful error bound for evaluation of a polynomial
• numerical compilers
• symbolic computing
• solution
• systems
• computer
• system
• programs