Principles of Topology
(eBook)
Author
Published
[Place of publication not identified] : Dover Publications, [2016].
Physical Desc
1 online resource (336 pages)
Status
Description
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Subjects
LC Subjects
Bisac Subjects
More Details
Format
eBook
Language
English
ISBN
9780486810447
UPC
9780486810447
Notes
Restrictions on Access
Access limited to subscribing institutions.
Description
Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.
System Details
System requirements: Adobe Digital editions.
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Citations
APA Citation, 7th Edition (style guide)
Croom, F. H. (2016). Principles of Topology . Dover Publications.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Croom, Fred H., 1941-. 2016. Principles of Topology. Dover Publications.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Croom, Fred H., 1941-. Principles of Topology Dover Publications, 2016.
MLA Citation, 9th Edition (style guide)Croom, Fred H. Principles of Topology Dover Publications, 2016.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
Staff View
Grouped Work ID
4727ac0c-6c49-9ed1-f1d5-c021b49beab0-eng
Grouping Information
| Grouped Work ID | 4727ac0c-6c49-9ed1-f1d5-c021b49beab0-eng |
|---|---|
| Full title | principles of topology |
| Author | croom fred h |
| Grouping Category | book |
| Last Update | 2024-03-07 02:01:08AM |
| Last Indexed | 2024-04-17 02:57:52AM |
Book Cover Information
| Image Source | coce_google_books |
|---|---|
| First Loaded | Sep 17, 2023 |
| Last Used | Jan 4, 2024 |
Marc Record
| First Detected | Sep 03, 2021 09:57:19 AM |
|---|---|
| Last File Modification Time | Jul 05, 2023 02:21:00 PM |
MARC Record
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| 506 | |a Access limited to subscribing institutions. | ||
| 520 | |a Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text. | ||
| 538 | |a System requirements: Adobe Digital editions. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 7 | |a MATHEMATICS / Topology.|2 bisacsh | |
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| 655 | 0 | |a Electronic books. | |
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