**By Charles C. Pinter,**

__A Book of Set Theory (Dover Books on Mathematics)__

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 hiSuitable 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.

This is an excellent textbook perfectly suitable for upper level undergraduates Very informative, comprehensive and generally accurate, this books starts with the basic conceptual apparatus of set theory, which is then progressively developed into an array of ever sophisticated topics, resolutely getting into post graduate territory in the final sections of the book when advanced topics such as inaccessible ordinals, the relationship between the cumulative hierarchy V and the constructible uni [...]

Some good examples but not rigorous.