The book "Абстрактная и компьютерная алгебра учебник для вузов" is a comprehensive guide to abstract and computer algebra, providing a thorough understanding of the subject matter and its practical applications. The book is divided into several chapters, each focusing on a specific aspect of abstract and computer algebra, including linear algebra, vector spaces, matrices, determinants, and more. Chapter 1: Introduction to Abstract Algebra The first chapter introduces the reader to the fundamental concepts of abstract algebra, including groups, rings, and fields. The authors provide a detailed explanation of these concepts, highlighting their importance in modern mathematics and their relevance to real-world problems. They also discuss the historical development of abstract algebra and its impact on contemporary mathematics. Chapter 2: Linear Algebra In this chapter, the authors delve deeper into linear algebra, exploring topics such as linear transformations, eigenvalues, and eigenvectors. They demonstrate how these concepts are essential for solving systems of linear equations and understanding the properties of matrices. The chapter concludes with a discussion on the application of linear algebra in computer science and engineering. Chapter 3: Vector Spaces This chapter focuses on vector spaces, which form the foundation of abstract algebra.

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