An Introduction to the Language of Category Theory (Record no. 427138)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03945nam a22004935i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319419176 |
| -- | 978-3-319-41917-6 |
| 024 7# - | |
| -- | 10.1007/978-3-319-41917-6 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA169 |
| 072 #7 - | |
| -- | PBC |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002010 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBC |
| -- | thema |
| 072 #7 - | |
| -- | PBF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.6 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Roman, Steven. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 13 - TITLE STATEMENT | |
| Title | An Introduction to the Language of Category Theory |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Steven Roman. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Birkhäuser, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XII, 169 p. 176 illus., 5 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Compact Textbooks in Mathematics, |
| -- | 2296-4568 |
| 505 0# - | |
| -- | Preface -- Categories -- Functors and Natural Transformations -- Universality -- Cones and Limits -- Adjoints -- References -- Index of Symbols -- Index. |
| 520 ## - | |
| -- | This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics. The goal of this book is to present the five major ideas of category theory: categories, functors, natural transformations, universality, and adjoints in as friendly and relaxed a manner as possible while at the same time not sacrificing rigor. These topics are developed in a straightforward, step-by-step manner and are accompanied by numerous examples and exercises, most of which are drawn from abstract algebra. The first chapter of the book introduces the definitions of category and functor and discusses diagrams, duality, initial and terminal objects, special types of morphisms, and some special types of categories, particularly comma categories and hom-set categories. Chapter 2 is devoted to functors and natural transformations, concluding with Yoneda's lemma. Chapter 3 presents the concept of universality and Chapter 4 continues this discussion by exploring cones, limits, and the most common categorical constructions – products, equalizers, pullbacks and exponentials (along with their dual constructions). The chapter concludes with a theorem on the existence of limits. Finally, Chapter 5 covers adjoints and adjunctions. Graduate and advanced undergraduates students in mathematics, computer science, physics, or related fields who need to know or use category theory in their work will find An Introduction to Category Theory to be a concise and accessible resource. It will be particularly useful for those looking for a more elementary treatment of the topic before tackling more advanced texts. |
| 650 #0 - | |
| -- | Algebra. |
| 650 14 - | |
| -- | Category Theory, Homological Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11035 |
| 650 24 - | |
| -- | Order, Lattices, Ordered Algebraic Structures. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11124 |
| 650 24 - | |
| -- | General Algebraic Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M1106X |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319419169 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319419183 |
| 830 #0 - | |
| -- | Compact Textbooks in Mathematics, |
| -- | 2296-4568 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-41917-6 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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