Read A Taste of Topology (LECTURE NO)

A Taste of Topology (LECTURE NO)

Unknown Author

4.9/5 (32201 ratings)

Description:If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts.Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis.In some points, the book treats its material differently than other texts on the subject:* Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem;* nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem;* a short and elegant, but little known proof for the Stone-Weierstrass theorem is given.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Taste of Topology (LECTURE NO). To get started finding A Taste of Topology (LECTURE NO), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 0387507019

Description: If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts.Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis.In some points, the book treats its material differently than other texts on the subject:* Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem;* nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem;* a short and elegant, but little known proof for the Stone-Weierstrass theorem is given.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Taste of Topology (LECTURE NO). To get started finding A Taste of Topology (LECTURE NO), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

A Taste of Topology (LECTURE NO)

A Taste of Topology (LECTURE NO)

More Books