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Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals)

Unknown Author
4.9/5 (17868 ratings)
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Description: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.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 Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals). To get started finding Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals), 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
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Format
PDF, EPUB & Kindle Edition
Publisher
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Release
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ISBN
048680349X

Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals)

Unknown Author
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: 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.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 Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals). To get started finding Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals), 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
048680349X

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