A Gentle Introduction to Group Theory
The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in...
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| Autors principals: | , |
|---|---|
| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Edició: | 1st ed. 2023. |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-981-99-0147-0 |
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| 100 | 1 | |a Al Subaiei, Bana. |e author. |0 (orcid)0000-0001-6279-4959 |1 https://orcid.org/0000-0001-6279-4959 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Gentle Introduction to Group Theory |h [electronic resource] / |c by Bana Al Subaiei, Muneerah Al Nuwairan. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XXIV, 417 p. 125 illus.). |b 115 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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 | |
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| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 505 | 0 | |a Background Results in Set Theory -- Algebraic Operations on Integers -- The Integers Modulo -- Semigroups -- Groups -- The Symmetric Group -- Subgroups -- Groups Homomorphisms and Isomorphic Groups -- Classification of Finite Abelian Groups -- Group Theory and SageMath. | |
| 520 | |a The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics. The text is broadly divided into three parts. The first part establishes the prerequisite knowledge required to study group theory. This includes topics in set theory, geometry, and number theory. Each of the chapters ends with solved and unsolved exercises relating to the topic. By doing this, the authors hope to fill the gaps between all the branches in mathematics that are linked to group theory. The second part is the core of the book which discusses topics on semigroups, groups, symmetric groups, subgroups, homomorphisms, isomorphism, and Abelian groups. The last part of the book introduces SAGE, a mathematical software that is used to solve group theory problems. Here, most of the important commands in SAGE are explained, and many examples and exercises are provided. | ||
| 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 Group theory. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Computer software. | |
| 650 | 0 | |a Set theory. | |
| 650 | 1 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Mathematical Software. |
| 650 | 2 | 4 | |a Set Theory. |
| 700 | 1 | |a Al Nuwairan, Muneerah. |e author. |0 (orcid)0000-0001-9076-9945 |1 https://orcid.org/0000-0001-9076-9945 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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