A Basic Course in Topology
This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particu...
में बचाया:
| मुख्य लेखकों: | , |
|---|---|
| निगमित लेखक: | |
| स्वरूप: | इलेक्ट्रोनिक ई-पुस्तक |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Birkhäuser,
2025.
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| संस्करण: | 1st ed. 2025. |
| श्रृंखला: | Compact Textbooks in Mathematics,
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| विषय: | |
| ऑनलाइन पहुंच: | https://doi.org/10.1007/978-3-662-70602-2 |
| टैग: |
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| 100 | 1 | |a Laures, Gerd. |e author. |0 (orcid)0000-0002-0300-538X |1 https://orcid.org/0000-0002-0300-538X |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Basic Course in Topology |h [electronic resource] / |c by Gerd Laures, Markus Szymik. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a 1 online resource (XII, 245 p. 182 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
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| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 490 | 1 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 505 | 0 | |a - Basic Concepts of Topology -- Universal Constructions -- Connectivity and Separation -- Compactness and Mapping Spaces -- Transformation Groups -- Paths and Loops -- The Fundamental Group -- Covering Spaces -- Bundles and Fibrations -- Sheaves -- Simplicial Sets. | |
| 520 | |a This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particularly suitable for both undergraduate and graduate mathematics students. Additionally, it can be used for self-study. The authors employ the modern language of category theory to unify and clarify the concepts presented, with definitions supported by numerous examples and illustrations. The book includes over 170 exercises that reinforce and deepen the understanding of the material. Many sections feature brief insights into advanced topics, providing a foundation for study projects or seminar presentations. In addition to set-theoretic topology, the book covers essential concepts such as fundamental groups, covering spaces, bundles, sheaves, and simplicial methods, which are vital in contemporary geometry and topology. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Algebraic Topology. |
| 700 | 1 | |a Szymik, Markus. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783662706015 |
| 776 | 0 | 8 | |i Printed edition: |z 9783662706039 |
| 830 | 0 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-70602-2 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||