Pinter C A Book of Set Theory 2014 PDF torrent

Textbook in PDF format

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.
Preface
Historical Introduction
Classes and Sets
Functions
Relations
Partially Ordered Classes
The axiom of choice
The Natural Numbers
Finite and Infinite Sets
Arithmetic of Cardinal Numbers
Transfinite Recursion Selected Topics in the Theory of Ordinals and Cardinals
Consistency and Independence in Set Theory
Bibliography
Index