An introduction to category theory:
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 226 pages) |
| ISBN: | 9780511863226 |
| DOI: | 10.1017/CBO9780511863226 |
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| 505 | 8 | |a Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index | |
| 520 | |a Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course | ||
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Datensatz im Suchindex
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| author | Simmons, Harold |
| author_facet | Simmons, Harold |
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| contents | Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index |
| ctrlnum | (ZDB-20-CBO)CR9780511863226 (OCoLC)992881465 (DE-599)BVBBV043943225 |
| 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 |
| doi_str_mv | 10.1017/CBO9780511863226 |
| format | Electronic eBook |
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| spelling | Simmons, Harold Verfasser aut An introduction to category theory Harold Simmons Cambridge Cambridge University Press 2011 1 online resource (ix, 226 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course Categories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Kategorientheorie (DE-588)4120552-2 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-28304-5 Erscheint auch als Druckausgabe 978-1-107-01087-1 https://doi.org/10.1017/CBO9780511863226 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Simmons, Harold An introduction to category theory Machine generated contents note: Preface; 1. Categories; 2. Basic gadgetry; 3. Functors and natural transformations; 4. Limits and colimits in general; 5. Adjunctions; 6. Posets and monoid sets; Bibliography; Index Categories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd |
| subject_GND | (DE-588)4120552-2 (DE-588)4123623-3 |
| title | An introduction to category theory |
| title_auth | An introduction to category theory |
| title_exact_search | An introduction to category theory |
| title_full | An introduction to category theory Harold Simmons |
| title_fullStr | An introduction to category theory Harold Simmons |
| title_full_unstemmed | An introduction to category theory Harold Simmons |
| title_short | An introduction to category theory |
| title_sort | an introduction to category theory |
| topic | Categories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd |
| topic_facet | Categories (Mathematics) Kategorientheorie Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511863226 |
| work_keys_str_mv | AT simmonsharold anintroductiontocategorytheory |