A first course in category theory:
This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.Unlike traditional cate...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2023]
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| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Zusammenfassung: | This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory.Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study |
| Beschreibung: | 1 Categories and Functors.- 2.- Limits and Colimits.- 3 Adjoint Functors.- 4 Solutions to Selected Exercises |
| Beschreibung: | xiv, 284 Seiten 462 gr |
| ISBN: | 9783031428982 |
Internformat
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| 500 | |a 1 Categories and Functors.- 2.- Limits and Colimits.- 3 Adjoint Functors.- 4 Solutions to Selected Exercises | ||
| 520 | |a This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory.Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study | ||
| 650 | 4 | |a Algebra, Homological | |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:31:56Z |
| indexdate | 2024-07-20T04:35:51Z |
| institution | BVB |
| isbn | 9783031428982 |
| language | English |
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| physical | xiv, 284 Seiten 462 gr |
| publishDate | 2023 |
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| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Agore, Ana Verfasser aut A first course in category theory Ana Agore Cham, Switzerland Springer [2023] xiv, 284 Seiten 462 gr txt rdacontent n rdamedia nc rdacarrier Universitext 1 Categories and Functors.- 2.- Limits and Colimits.- 3 Adjoint Functors.- 4 Solutions to Selected Exercises This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory.Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study Algebra, Homological Hardcover, Softcover / Mathematik/Arithmetik, Algebra Erscheint auch als Online-Ausgabe 978-3-031-42899-9 |
| spellingShingle | Agore, Ana A first course in category theory Algebra, Homological |
| title | A first course in category theory |
| title_auth | A first course in category theory |
| title_exact_search | A first course in category theory |
| title_exact_search_txtP | A first course in category theory |
| title_full | A first course in category theory Ana Agore |
| title_fullStr | A first course in category theory Ana Agore |
| title_full_unstemmed | A first course in category theory Ana Agore |
| title_short | A first course in category theory |
| title_sort | a first course in category theory |
| topic | Algebra, Homological |
| topic_facet | Algebra, Homological |
| work_keys_str_mv | AT agoreana afirstcourseincategorytheory |