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Set Theory (Paperback)
Loot Price: R1,796
Discovery Miles 17 960
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Set Theory (Paperback)
Series: AMS Chelsea Publishing
Expected to ship within 12 - 17 working days
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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.
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