Andre L. Yandl, Adam Bowers

Elementary Point-Set Topology (eBook, ePUB)

A Transition to Advanced Mathematics

• Format: ePub

Produktbeschreibung

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. Dover (2016) Aurora Modern Math Original. See every Dover book in print at www.doverpublications.com

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 256
• Erscheinungstermin: 10. April 2016
• Englisch
• ISBN-13: 9780486811017
• Artikelnr.: 44835221

Autorenporträt

André L. Yandl is Professor Emeritus of Mathematics at Seattle University.
Adam Bowers is a Lecturer in Mathematics at the University of California, San Diego.