Tasks on group theory. Part II: Workshop

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Tasks in Group Theory . Part II: Workshop”, created by a team of authors, is a unique and indispensable resource for those who seek to deepen their knowledge in the field of abstract algebra and especially group theory. This book is a continuation of a popular tutorial designed for students, graduate students and teachers who want not only to understand the fundamental concepts, but also to learn how to apply them in practice. It contains a variety of tasks that allow you to consolidate theoretical knowledge and develop analytical thinking, which makes it an excellent tool for self-study and preparation for exams. Tasks in Group Theory . Part II: Workshop" is not just a collection of exercises. It is a carefully thought out learning material in which each task is structured to stimulate thinking, develop logical analysis skills, and deepen understanding of complex concepts. The book presents tasks of varying complexity from basic to advanced, which makes it useful for both beginners and those who already have some experience in the field of group theory. The authors use a variety of approaches to the formulation of problems, which helps the reader to learn to see different sides of the same topic and find non-standard solutions. This book is especially suitable for students studying algebra, mathematical undergraduates and graduate students, as well as teachers looking for effective materials for conducting classes and independent work of students. It will be interesting for those who are passionate about mathematics, likes to solve complex problems and wants to develop analytical abilities. In addition, the book can attract the attention of those who are engaged in preparing for the Olympiads in mathematics or professional activities related to group theory and its applications. Topics raised in "Group Theory Tasks. Part II: The Workshop covers a wide range of issues, from the elementary properties of groups and their subgroups to more complex concepts such as factor-groups, automorphisms, isomorphisms, and group structure. The authors focus on the practical application of theoretical knowledge, which allows the reader not only to remember the basic definitions and theorems, but also to learn how to apply them in various situations. This approach makes the book especially valuable for those who want to not just memorize the material, but really understand its essence and learn how to use it in real tasks. The style of presentation in the book is distinguished by clarity and logical consistency, which contributes to the easy perception of even complex topics. The authors use examples, illustrations and step-by-step solutions, which helps to understand the course of thoughts when solving problems. Overall, "Group Theory Tasks. Part II: Workshop is not just a textbook, but a real guide to the world of group theory, which is able to inspire further research and scientific discoveries. If you are already familiar with classical works on algebra, such as works by H. Burbaki or G. Hoffman, then this book will be a great addition to your arsenal of knowledge It will help you to consolidate the material, prepare for exams or olympiads, as well as expand the horizons in the field of modern mathematics. As a result, "Group Theory Tasks. Part II: Workshop is not just a textbook, but a real adventure into the world of abstract structures, which reveals to the reader the richness and beauty of group theory, making complex topics accessible and fascinating.
LF/378603562/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian