Categories, allegories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
c1990
|
| Schriftenreihe: | North-Holland mathematical library
v. 39 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes index General concepts and methods that occur throughout mathematics & ndash; and now also in theoretical computer science & ndash; are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xvii, 296 p.) |
| ISBN: | 9780444703682 0444703683 9780080887012 0080887015 1281756296 9781281756299 |
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| 500 | |a Includes index | ||
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Datensatz im Suchindex
| _version_ | 1804152914669731840 |
|---|---|
| any_adam_object | |
| author | Freyd, Peter J. |
| author_facet | Freyd, Peter J. |
| author_role | aut |
| author_sort | Freyd, Peter J. |
| author_variant | p j f pj pjf |
| building | Verbundindex |
| bvnumber | BV042317810 |
| classification_rvk | SK 230 |
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| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317810 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444703682 0444703683 9780080887012 0080887015 1281756296 9781281756299 |
| language | English |
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| physical | 1 Online-Ressource (xvii, 296 p.) |
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| publishDate | 1990 |
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| spelling | Freyd, Peter J. Verfasser aut Categories, allegories Peter J. Freyd, Andre Scedrov Amsterdam North-Holland c1990 1 Online-Ressource (xvii, 296 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library v. 39 Includes index General concepts and methods that occur throughout mathematics & ndash; and now also in theoretical computer science & ndash; are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach Includes bibliographical references and index Mathematical logic Catégories (Mathématiques) ram Allegories (Mathematics) fast Categories (Mathematics) fast MATHEMATICS / Algebra / Intermediate bisacsh Categories (Mathematics) Allegories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Relationenalgebra (DE-588)4206494-6 gnd rswk-swf Allegorie Mathematik (DE-588)4304012-3 gnd rswk-swf Allegorie Mathematik (DE-588)4304012-3 s 1\p DE-604 Relationenalgebra (DE-588)4206494-6 s 2\p DE-604 Kategorientheorie (DE-588)4120552-2 s 3\p DE-604 Kategorie Mathematik (DE-588)4129930-9 s 4\p DE-604 Ščedrov, Andrej Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 0-444-70367-5 http://www.sciencedirect.com/science/book/9780444703682 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Freyd, Peter J. Categories, allegories Mathematical logic Catégories (Mathématiques) ram Allegories (Mathematics) fast Categories (Mathematics) fast MATHEMATICS / Algebra / Intermediate bisacsh Categories (Mathematics) Allegories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Relationenalgebra (DE-588)4206494-6 gnd Allegorie Mathematik (DE-588)4304012-3 gnd |
| subject_GND | (DE-588)4120552-2 (DE-588)4129930-9 (DE-588)4206494-6 (DE-588)4304012-3 |
| title | Categories, allegories |
| title_auth | Categories, allegories |
| title_exact_search | Categories, allegories |
| title_full | Categories, allegories Peter J. Freyd, Andre Scedrov |
| title_fullStr | Categories, allegories Peter J. Freyd, Andre Scedrov |
| title_full_unstemmed | Categories, allegories Peter J. Freyd, Andre Scedrov |
| title_short | Categories, allegories |
| title_sort | categories allegories |
| topic | Mathematical logic Catégories (Mathématiques) ram Allegories (Mathematics) fast Categories (Mathematics) fast MATHEMATICS / Algebra / Intermediate bisacsh Categories (Mathematics) Allegories (Mathematics) Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Relationenalgebra (DE-588)4206494-6 gnd Allegorie Mathematik (DE-588)4304012-3 gnd |
| topic_facet | Mathematical logic Catégories (Mathématiques) Allegories (Mathematics) Categories (Mathematics) MATHEMATICS / Algebra / Intermediate Kategorientheorie Kategorie Mathematik Relationenalgebra Allegorie Mathematik |
| url | http://www.sciencedirect.com/science/book/9780444703682 |
| work_keys_str_mv | AT freydpeterj categoriesallegories AT scedrovandrej categoriesallegories |