Aimed at teaching mathematics students how to program using their knowledge of mathematics, the entire books emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: manipulation and enrichment of existing code; use of recurrent sequences; deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed, and the text concludes with an explanation of how a compiler works and how to compile "by hand" little programs. Intended for anyone who thinks mathematically and wants to program and play with mathematics.

1. Programming Proverbs 2. Review of Arithmetic 3. An Algorithmic Description Language 4. How to Create an Algorithm 5. Algorithms and Classical Constructions 6. The Pascal Language 7. How to Write a Program 8. The Integers 9. The Complex Numbers 10. Polynomials 11. Matrices 12. Recursion 13. Elements of Compiler Theory

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