,

Practical Foundations of Mathematics

Specificaties
Gebonden, 588 blz. | Engels
Cambridge University Press | e druk, 1999
ISBN13: 9780521631075
Rubricering
Juridisch :
Cambridge University Press e druk, 1999 9780521631075
Onderdeel van serie Cambridge Studies in
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.

Specificaties

ISBN13:9780521631075
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:588

Inhoudsopgave

1. First order reasoning; 2. Types and induction; 3. Posets and lattices; 4. Cartesian closed categories; 5. Limits and colimits; 6. Structural recursion; 7. Adjunctions; 8. Algebra with dependent types; 9. The quantifiers.

Net verschenen

Rubrieken

Populaire producten

    Personen

      Trefwoorden

        Practical Foundations of Mathematics