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Author Yandl, André L.

Title Elementary Point-Set Topology : A Transition to Advanced Mathematics / Andre L. Yandl.

Publication Info. [Place of publication not identified] : Dover Publications, [2016]


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Description 1 online resource (256 pages)
Access Access limited to subscribing institutions.
Summary In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. The versatile, original approach focuses on learning to read and write proofs rather than covering advanced topics. Based on lecture notes that were developed over many years at The University of Seattle, the treatment is geared toward undergraduate math majors and suitable for a variety of introductory courses. Starting with elementary concepts in logic and basic techniques of proof writing, the text defines topological and metric spaces and surveys continuity and homeomorphism. Additional subjects include product spaces, connectedness, and compactness. The final chapter illustrates topology's use in other branches of mathematics with proofs of the fundamental theorem of algebra and of Picard's existence theorem for differential equations.
System Details System requirements: Adobe Digital editions.
Note Print version record.
Subject MATHEMATICS / Topology.
Propositional calculus.
Point set theory.
Genre/Form Electronic books.
Added Author Bowers, Adam (Adam Roman)
Other Form: Print version: Yandl, André L. Elementary point-set topology : Mineola, New York : Dover Publications, Inc., [2016] 9780486803494 (DLC)2015050597
Standard No. 9780486811017
ISBN 9780486811017 (e-pub)
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