Introduction to Differential and Algebraic Topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
9 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topological research methods already in the first university courses. This textbook is one possible version of an introductory course in topology and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chapter, according to the authors' intention, should acquaint readers with topological problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing constructions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately |
| Beschreibung: | 1 Online-Ressource (IX, 493 p) |
| ISBN: | 9789401719599 9789048145584 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-017-1959-9 |
Internformat
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| 245 | 1 | 0 | |a Introduction to Differential and Algebraic Topology |c by Yuri G. Borisovich, Nikolai M. Bliznyakov, Tatyana N. Fomenko, Yakov A. Izrailevich |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1995 | |
| 300 | |a 1 Online-Ressource (IX, 493 p) | ||
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| 490 | 1 | |a Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |v 9 |x 0927-4529 | |
| 500 | |a Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topological research methods already in the first university courses. This textbook is one possible version of an introductory course in topology and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chapter, according to the authors' intention, should acquaint readers with topological problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing constructions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Global analysis | |
| 650 | 4 | |a Topology | |
| 650 | 4 | |a Algebraic topology | |
| 650 | 4 | |a Cell aggregation / Mathematics | |
| 650 | 4 | |a Manifolds and Cell Complexes (incl. Diff.Topology) | |
| 650 | 4 | |a Algebraic Topology | |
| 650 | 4 | |a Global Analysis and Analysis on Manifolds | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| _version_ | 1804153101058310144 |
|---|---|
| any_adam_object | |
| author | Borisovich, Yuri G. |
| author_facet | Borisovich, Yuri G. |
| author_role | aut |
| author_sort | Borisovich, Yuri G. |
| author_variant | y g b yg ygb |
| building | Verbundindex |
| bvnumber | BV042424273 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184503296 (DE-599)BVBBV042424273 |
| dewey-full | 514.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.34 |
| dewey-search | 514.34 |
| dewey-sort | 3514.34 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-1959-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401719599 9789048145584 |
| issn | 0927-4529 |
| language | English |
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| series | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |
| series2 | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |
| spelling | Borisovich, Yuri G. Verfasser aut Introduction to Differential and Algebraic Topology by Yuri G. Borisovich, Nikolai M. Bliznyakov, Tatyana N. Fomenko, Yakov A. Izrailevich Dordrecht Springer Netherlands 1995 1 Online-Ressource (IX, 493 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 9 0927-4529 Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topological research methods already in the first university courses. This textbook is one possible version of an introductory course in topology and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chapter, according to the authors' intention, should acquaint readers with topological problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing constructions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately Mathematics Global analysis Topology Algebraic topology Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Global Analysis and Analysis on Manifolds Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s Algebraische Topologie (DE-588)4120861-4 s 1\p DE-604 Bliznyakov, Nikolai M. Sonstige oth Fomenko, Tatyana N. Sonstige oth Izrailevich, Yakov A. Sonstige oth Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 9 (DE-604)BV005450041 9 https://doi.org/10.1007/978-94-017-1959-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Borisovich, Yuri G. Introduction to Differential and Algebraic Topology Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series Mathematics Global analysis Topology Algebraic topology Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Global Analysis and Analysis on Manifolds Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4012255-4 |
| title | Introduction to Differential and Algebraic Topology |
| title_auth | Introduction to Differential and Algebraic Topology |
| title_exact_search | Introduction to Differential and Algebraic Topology |
| title_full | Introduction to Differential and Algebraic Topology by Yuri G. Borisovich, Nikolai M. Bliznyakov, Tatyana N. Fomenko, Yakov A. Izrailevich |
| title_fullStr | Introduction to Differential and Algebraic Topology by Yuri G. Borisovich, Nikolai M. Bliznyakov, Tatyana N. Fomenko, Yakov A. Izrailevich |
| title_full_unstemmed | Introduction to Differential and Algebraic Topology by Yuri G. Borisovich, Nikolai M. Bliznyakov, Tatyana N. Fomenko, Yakov A. Izrailevich |
| title_short | Introduction to Differential and Algebraic Topology |
| title_sort | introduction to differential and algebraic topology |
| topic | Mathematics Global analysis Topology Algebraic topology Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Global Analysis and Analysis on Manifolds Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Mathematics Global analysis Topology Algebraic topology Cell aggregation / Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Global Analysis and Analysis on Manifolds Mathematik Algebraische Topologie Differentialtopologie |
| url | https://doi.org/10.1007/978-94-017-1959-9 |
| volume_link | (DE-604)BV005450041 |
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