Elementary Point-Set Topology

A Transition to Advanced Mathematics

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Elementary Point-Set Topology by Andre  L. Yandl, Adam Bowers, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Andre L. Yandl, Adam Bowers ISBN: 9780486811017
Publisher: Dover Publications Publication: April 10, 2016
Imprint: Dover Publications Language: English
Author: Andre L. Yandl, Adam Bowers
ISBN: 9780486811017
Publisher: Dover Publications
Publication: April 10, 2016
Imprint: Dover Publications
Language: English

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.
"This is a back-to-basics introductory text in point-set topology that can double as a transition to proofs course. The writing is very clear, not too concise or too wordy. Each section of the book ends with a large number of exercises. The optional first chapter covers set theory and proof methods; if the students already know this material you can start with Chapter 2 to present a straight topology course, otherwise the book can be used as an introduction to proofs course also." — Mathematical Association of America

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.
"This is a back-to-basics introductory text in point-set topology that can double as a transition to proofs course. The writing is very clear, not too concise or too wordy. Each section of the book ends with a large number of exercises. The optional first chapter covers set theory and proof methods; if the students already know this material you can start with Chapter 2 to present a straight topology course, otherwise the book can be used as an introduction to proofs course also." — Mathematical Association of America

More books from Dover Publications

Cover of the book The Great Physicists from Galileo to Einstein by Andre  L. Yandl, Adam Bowers
Cover of the book Life Is a Dream/La Vida es Sueño by Andre  L. Yandl, Adam Bowers
Cover of the book An Outcast of the Islands by Andre  L. Yandl, Adam Bowers
Cover of the book Henry IV, Part I by Andre  L. Yandl, Adam Bowers
Cover of the book Treasury of Art Nouveau Design & Ornament by Andre  L. Yandl, Adam Bowers
Cover of the book The Path to the Double Helix by Andre  L. Yandl, Adam Bowers
Cover of the book Life in a Bucket of Soil by Andre  L. Yandl, Adam Bowers
Cover of the book The Zombie Stories of H. P. Lovecraft by Andre  L. Yandl, Adam Bowers
Cover of the book The Artistic Anatomy of Trees by Andre  L. Yandl, Adam Bowers
Cover of the book Heart of Darkness by Andre  L. Yandl, Adam Bowers
Cover of the book Bacchae by Andre  L. Yandl, Adam Bowers
Cover of the book 28 Great Inaugural Addresses by Andre  L. Yandl, Adam Bowers
Cover of the book The Four Books of Architecture by Andre  L. Yandl, Adam Bowers
Cover of the book Boron Hydrides by Andre  L. Yandl, Adam Bowers
Cover of the book First German Reader by Andre  L. Yandl, Adam Bowers
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy