Kniha Derivation and Computation H. Simmons

Derivation and Computation

Autor: H. Simmons
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
4 006
Mathematics is about proofs, that is the derivation of correct statements; and calculations, that is...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2000
Stránek
412
EAN
9780521771733
ISBN
0521771730
Enbook ID
02042580
Hmotnost
668
Rozměry
236 x 161 x 25

Kompletní popis

Mathematics is about proofs, that is the derivation of correct statements; and calculations, that is the production of results according to well-defined sets of rules. The two notions are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. The aim of the author is to explore this relationship. The book itself forms an introduction to simple type theory. Starting from the familiar propositional calculus the author develops the central idea of an applied lambda-calculus. This is illustrated by an account of Gödel's T, a system which codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. These are designed to help the reader get to grips with the subject, and develop a further understanding. An appendix contains complete solutions of these exercises.

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