PITFALLS IN COMPUTATION, OR WHY A MATH BOOK ISN'T ENOUGH
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
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The floating-point number system is contrasted with the real numbers. The author then illustrates the variety of computational pitfalls a person can fall into who merely translates information gained from pure mathematics courses into computer programs. Examples include summing a Taylor series, solving a quadratic equation, solving linear algebraic systems, solving ordinary and partial differential equations, and finding polynomial zeros. It is concluded that mathematics courses should be taught with a greater awareness of automatic computation.
- Theoretical Mathematics
- Computer Programming and Software
- Computer Hardware