Programming for Mathematicians
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.
Meant for those with a mathematical background who want an introduction to programming and who want to harmoniously integrate this new discipline into their way of thoughtReconciles rigour and programming.Language used is a small subset of PascalMethod and ideas are not tied to any particular programming language