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Theory of Sets
Our Price:$40.00
Availability:In Stock
Environment:Made in USA
Author/Editor: E. Kamke, Frederick Bagemihl
ISBN 10:048645083X
Product Info:Details, Table of Contents
"Exceptionally well written."--School Science and Mathematics
"A very fine book."--Mathematics Teacher
"A concise and accurate introduction."--Philosophical Review
Clear and simple, this introduction to the theory of sets employs the discoveries of Cantor, Russell, Weier...  read more
 


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Product Description:

"Exceptionally well written."--School Science and Mathematics
"A very fine book."--Mathematics Teacher
"A concise and accurate introduction."--Philosophical Review
Clear and simple, this introduction to the theory of sets employs the discoveries of Cantor, Russell, Weierstrass, Zermelo, Bernstein, Dedekind, and other mathematicians. It analyzes concepts and principles, offering numerous examples. An emphasis on fundamentals makes the presentation easily comprehensible to students acquainted with college-level algebra.
Starting with the rudiments of set theory--including first classifications, subsets, sums, intersection of sets, and nonenumerable sets--the text advances to arbitrary sets and their cardinal numbers, exploring extensions of number concepts, equivalence of sets, and sums and products of two and many cardinal numbers. Additional topics include ordered sets and their order types and well-ordered sets and their ordinal numbers. Particular focus is placed upon addition and multiplication of ordinal numbers, transfinite induction, products and powers of ordinal numbers, well-ordering theorem, and the well-ordering of cardinal and ordinal numbers.
Unabridged republication of the 1950 Dover edition.
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Product Details:

ISBN 10: 048645083X
ISBN 13: 9780486450834
Author/Editor: E. Kamke, Frederick Bagemihl
Page Count: 160
Dimensions: 5 5/8 x 8 1/2
Publication date: February 2006
Table of Contents: Click here to view the Table of Contents

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