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 cat...
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| Հիմնական հեղինակ: | |
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| Համատեղ հեղինակ: | |
| Ձևաչափ: | Էլեկտրոնային էլ․ գիրք |
| Լեզու: | անգլերեն |
| Հրապարակվել է: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Հրատարակություն: | 1st ed. 2023. |
| Շարք: | Universitext,
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://doi.org/10.1007/978-3-031-42899-9 |
| Ցուցիչներ: |
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| 100 | 1 | |a Agore, Ana. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A First Course in Category Theory |h [electronic resource] / |c by Ana Agore. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XIV, 284 p.). | ||
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| 337 | |a computer |b c |2 rdamedia | ||
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| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
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| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 505 | 0 | |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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Algebra, Homological. | |
| 650 | 1 | 4 | |a Category Theory, Homological Algebra. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031428982 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031429002 |
| 830 | 0 | |a Universitext, |x 2191-6675 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-42899-9 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||