Sets: An Introduction - Brossura

Potter, Michael D.

Brossura

ISBN 10: 0198533993 ISBN 13: 9780198533993

Casa editrice: Oxford University Press, USA, 1989

Riassunto

This book is an introduction to set theory in which the author develops the subject from first principles and presupposes little more than an elementary grounding in logic. Throughout much attention is paid to the historical and philosophical background which illuminates the subject's development. This book differs from most by providing a particularly elegant and intuitive approach based on Scott's formulation of standard set theory in which sets are built up stage by stage. This approach has the advantage of introducing the axioms of set theory in a natural way and shows how they come to take the form they do. The book covers all the basic tools of set theory" the natural numbers, cardinals, ordinals, and the axiom of choice in some detail. It also provides an account of the representation theory of lattices and how this is closely connected with the various forms of the axiom of choice.

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Recensione

'This text offers a new and interesting view of the foundations of mathematics, rigorously developed and written in a comprehensible style.'H. Mitsch, Monatshefte für Mathematik

Product Description

This book provides a first course in set theory suitable for final year undergraduates in mathematics. The book develops the subject from first principles and presupposes little more than an elementary grounding in logic. Throughout much attention is paid to the subject's historical and philosophical development. The book differs from most books on set theory in that it aims in its approach to introduce the axioms of set theory in a natural way and to show how they come to take the form they do. The text covers all the basic tools of set theory - the natural numbers, cardinals, ordinals, and the axiom of choice - in some detail. It also provides an account of the representation theory of lattices and how this is closely connected with various forms of the axiom of choice.

Dettagli dell'edizione

• Editore: Oxford University Press, USA
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 0198533993
• ISBN 13: 9780198533993
• Rilegatura: Copertina flessibile
• Numero di pagine: 254
• Contatto del produttore: non disponibile
• Persona responsabile: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; 20090; Italia