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Programming for Mathematicians, PDF eBook

Programming for Mathematicians PDF

Part of the Universitext series

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Description

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.

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