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.
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