Résumé
The aim of this book is to teach mathematics students how to program using their knowledge of mathematics. For this they require only to know how to construct a proof. The entire book's emphasis is on "how to think"when programming. Three methods for constructing an algorithm or a program are used: a) manipulation and enrichment of existing code; b) use of recurrent sequences; c) deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed. The last chapter explains how a compiler works and shows how to compile"by hand" little (but not trivial - even recursive) programs. The book is intended for anyone who thinks mathematically and wants to program and play with mathematics.
Sommaire
- Programming proverbs
- Review of arithmetic
- An algorithmic description language
- How to create an algorithm
- Algorithms and classical constructions
- The pascal language
- How to write a program
- The integers
- The complex numbers
- Polynomials
- Matrices
- Recursion
- Elements of compiler theory
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer-Verlag GmbH |
| Parution | 12/01/2000 |
| Format | 16 x 24 |
| Couverture | Broché |
| Poids | 570g |
| EAN13 | 9783540664222 |
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