Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity.
A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory. Subsequent chapters explore classes and sets, functions, relations, partially ordered classes, and the axiom of choice. Other subjects include natural and cardinal numbers, finite and infinite sets, the arithmetic of ordinal numbers, transfinite recursion, and selected topics in the theory of ordinals and cardinals. This updated edition features new material by author Charles C. Pinter.
By:
Charles Pinter Imprint: Dover Country of Publication: United States Dimensions:
Height: 205mm,
Width: 125mm,
Spine: 10mm
Weight: 145g ISBN:9780486497082 ISBN 10: 0486497089 Pages: 240 Publication Date:16 July 2014 Audience:
General/trade
,
College/higher education
,
ELT Advanced
,
A / AS level
Format:Paperback Publisher's Status: Unspecified