Category theory and applications (Record no. 72752)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03220cam a2200397 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00012253 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210211s2021 si ob 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811236099 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 512/.6 |
| 100 1# - AUTHOR NAME | |
| Author | Grandis, Marco. |
| 245 10 - TITLE STATEMENT | |
| Title | Category theory and applications |
| Sub Title | a textbook for beginners / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| -- | New Jersey : |
| Publisher | World Scientific, |
| Year of publication | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xi, 377 p.) |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface -- Introduction -- Categories, functors and natural transformations -- Limits and colimits -- Adjunctions and monads -- Applications in algebra -- Applications in topology and algebraic topology -- Applications in homological algebra -- Hints at higher dimensional category theory -- Solutions of the exercises -- References -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots. This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications. A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective. Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields. In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter"--Publisher's website. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/12253#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Categories (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Morphisms (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Homology theory. |
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