Logic of Infinity (BOK)

Barnaby Sheppard

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Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2014 Forfatter Barnaby Sheppard
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781107678668
Antall sider 494 Dimensjoner 16,6cm x 24,1cm x 2,6cm
Vekt 850 gram Leverandør Bertram Trading Ltd