Foundations of Group Theory

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The book "Fundamentals of Group Theory" is a fascinating and deep dive into the world of abstract algebra, created by a team of authors who seek to make complex concepts accessible and understandable to a wide range of readers. Group theory, as one of the fundamental branches of mathematics, plays a key role in various fields of science, from physics to chemistry and even in computer science. This edition will be an indispensable assistant for both students and teachers, as well as for anyone interested in mathematics and its applications. The book covers the basic concepts of group theory, starting with the definition of a group and ending with more complex topics, such as subgroups, normal subgroups and factor-groups. Each section is written with clarity and logic, which allows the reader to gradually delve into the material. The authors use many examples and tasks, which makes the learning process more interactive and exciting. The reader will be able not only to learn the theoretical aspects, but also to apply them in practice, solving problems that will help to consolidate the knowledge gained. This book will be especially interesting for students of mathematical and physical-mathematical faculties, as well as for anyone who wants to expand their knowledge in the field of algebra. If you’re into math, like solving puzzles, and want to understand how abstract concepts can be applied in real life, then “Basics of Group Theory” is what you need. It is also suitable for teachers who are looking for quality material for their courses, and researchers who want to refresh their knowledge or find new approaches to the study of group theory. The topics raised in the book go beyond purely mathematical concepts. The authors discuss how group theory relates to symmetry in nature, how it is used in physics to describe elementary particles and their interactions, and how it finds application in cryptography and coding theory. These connections make the material not only theoretically significant, but also practical, which is especially important in today's world, where mathematics plays an increasingly important role in technology and science. The style of the authors is clear and accessible. They are able to explain complex things in simple language, which makes the book suitable even for those who are just beginning to get acquainted with group theory. Unlike many textbooks, which can be overloaded with formulas and abstract concepts, "Fundamentals of Group Theory" offers the reader a friendly approach that inspires study and research. If you are looking for books similar in genre, pay attention to Igor Shafarevich’s “Algebra”.
LF/399129835/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian