Starting category theory:
"One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2024]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks. Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra" |
| Beschreibung: | Literaturverzeichnis: Seite 425-428 |
| Beschreibung: | xix, 443 Seiten Diagramme |
| ISBN: | 9789811286001 |
Internformat
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| 245 | 1 | 0 | |a Starting category theory |c Paolo Perrone (University of Oxford, UK) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2024] | |
| 300 | |a xix, 443 Seiten |b Diagramme | ||
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| 500 | |a Literaturverzeichnis: Seite 425-428 | ||
| 520 | 3 | |a "One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks. Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra" | |
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| author | Perrone, Paolo 1989- |
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| building | Verbundindex |
| bvnumber | BV049944024 |
| classification_tum | MAT 180 |
| ctrlnum | (DE-599)KXP1882003160 |
| dewey-full | 512/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.62 |
| dewey-search | 512/.62 |
| dewey-sort | 3512 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV049944024 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-14T13:01:47Z |
| institution | BVB |
| isbn | 9789811286001 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035282182 |
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| owner | DE-19 DE-BY-UBM DE-91G DE-BY-TUM |
| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM |
| physical | xix, 443 Seiten Diagramme |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Perrone, Paolo 1989- Verfasser (DE-588)1175564885 aut Starting category theory Paolo Perrone (University of Oxford, UK) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2024] xix, 443 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis: Seite 425-428 "One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks. Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra" Categories (Mathematics) 9789811286018 ebook for institutions 9789811286025 ebook for individuals DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9789811286001.pdf 2024-07-28 Aggregator Inhaltsverzeichnis |
| spellingShingle | Perrone, Paolo 1989- Starting category theory |
| title | Starting category theory |
| title_auth | Starting category theory |
| title_exact_search | Starting category theory |
| title_full | Starting category theory Paolo Perrone (University of Oxford, UK) |
| title_fullStr | Starting category theory Paolo Perrone (University of Oxford, UK) |
| title_full_unstemmed | Starting category theory Paolo Perrone (University of Oxford, UK) |
| title_short | Starting category theory |
| title_sort | starting category theory |
| url | http://www.gbv.de/dms/bowker/toc/9789811286001.pdf |
| work_keys_str_mv | AT perronepaolo startingcategorytheory |