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A BOOK OF. ABSTRACT ALGEBRA. Second Edition. Charles C. Pinter. Professor of Mathematics. Bucknell University. Dover Publications, Inc., Mineola, New. Editorial Reviews. About the Author. Charles C. Pinter is Professor Emeritus of Mathematics at Kindle Store · Kindle eBooks · Science & Math. A book of abstract algebra. [Charles C Pinter] -- Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in.
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. Dover revised and corrected republication of Set Theory, originally published by the Addison-Wesley Publishing Company, Reading, Massachusetts,