The author of the book is A. N. Kolmogorov. The book "Кontrol'nye raboty po matematicheskomu analizu" (Control Works on Mathematical Analysis) by Andrey Nikolaevich Kolmogorov is a comprehensive guide to the study of mathematical analysis, providing a detailed overview of the subject matter and its applications in various fields. The book is divided into several chapters, each focusing on a specific aspect of mathematical analysis, such as limits, derivatives, integrals, and differential equations. The first chapter, titled "Limits," provides an in-depth explanation of the concept of limits and their role in mathematical analysis. It covers the basic principles of limits, including the definition of a limit, types of limits, and the rules of limit operations. This chapter also explores the properties of limits, such as the limit theorem and the squeeze theorem, and provides examples of how limits are used in real-world applications. The second chapter, "Derivatives," delves deeper into the topic of derivatives, discussing the definition of a derivative, the different types of derivatives, and the techniques for finding derivatives. This chapter also covers the practical applications of derivatives, such as optimization problems and related rates. The third chapter, "Integrals," focuses on the theory and practice of integration, covering topics such as the fundamental theorem of calculus, substitution, and integration by parts. This chapter also includes exercises to help readers reinforce their understanding of integration.

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