| Dewey Class |
512.2 |
| Title |
A Gentle Introduction to Group Theory (EBook /) / by Bana Al Subaiei, Muneerah Al Nuwairan. |
| Author |
Al Subaiei, Bana |
| Added Personal Name |
Al Nuwairan, Muneerah |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2023. |
| Publication |
Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2023. |
| Physical Details |
XXIV, 417 p. 125 illus., 115 illus. in color. : online resource. |
| ISBN |
9789819901470 |
| Summary Note |
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.: |
| Contents note |
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. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2023. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-981-99-0147-0 |
| Links to Related Works |
Subject References:
Authors:
Corporate Authors:
Classification:
|
|---|
