Set Theory PDF Download

Set Theory PDF
By:Felix Hausdorff
Published on 1957 by American Mathematical Soc.

In the early twentieth century, Hausdorff developed an axiomatic approach to topology, which continues to be the foundation of modern topology. The present book, the English translation of the third edition of Hausdorff's Mengenlehre, is a thorough introduction to his theory of point-set topology. The treatment begins with topics in the foundations of mathematics, including the basics of abstract set theory, sums and products of sets, cardinal and ordinal numbers, and Hausdorff's well-ordering theorem. The exposition then specializes to point sets, where major topics such as Borel systems, first and second category, and connectedness are considered in detail. Next, mappings between spaces are introduced. This leads naturally to a discussion of topological spaces and continuous mappings between them. Finally, the theory is applied to the study of real functions and their properties. The book does not presuppose any mathematical knowledge beyond calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first-year graduate students should have no difficulty in making the material their own.

This Book was ranked at 27 by Google Books for keyword mathematics about sets.

Book ID of Set Theory's Books is yvVIdH16k0YC, Book which was written byFelix Hausdorffhave ETAG "VvqFhvCfMOw"

Book which was published by American Mathematical Soc. since 1957 have ISBNs, ISBN 13 Code is 9780821838358 and ISBN 10 Code is 0821838350

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Book which have "352 Pages" is Printed at BOOK under CategoryMathematics

Book was written in en

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