*The Course of Analysis: I. Differential Calculus. II. Integral Calculus. III. Solving Differential Equations* is a comprehensive and authoritative work by renowned mathematician and educator Mikhail Khandrikov. This book is an essential resource for students, graduate researchers, and anyone eager to deepen their understanding of mathematical analysis and its applications. In this detailed volume, Khandrikov presents the core concepts of differential and integral calculus, along with effective methods for solving differential equations, in a clear and accessible manner. The book is divided into three main sections, each focusing on vital aspects of analysis. The first part introduces differential calculus, guiding readers through the concept of derivatives, their geometric and physical interpretations, and practical rules for differentiation across various functions. Khandrikov not only explains the theory but also provides numerous examples, making complex ideas easier to grasp. The second section explores integral calculus, revealing the essence of integrals, their properties, and techniques for calculation. Readers will learn about different types of integrals—definite and indefinite—and how to apply them to solve real-world problems. The final part focuses on integrating differential equations, a crucial topic for students in engineering, physics, and related fields. Khandrikov offers both theoretical insights and practical examples, helping readers master the methods and applications of solving these equations. This book will particularly appeal to students of mathematics, physics, and engineering, as well as anyone looking to expand their knowledge of analysis. If you're searching for a high-quality textbook that combines theory with practice, *The Course of Analysis* is an excellent choice. Covering a broad range of topics—from fundamental principles to advanced methods for solving differential equations—Khandrikov emphasizes not only mathematical rigor but also real-world relevance. His focus on practical applications makes this book especially valuable for future engineers, physicists, and mathematicians. Khandrikov’s writing style is characterized by clarity and logical flow. He has a talent for explaining complex concepts in simple language, making his books accessible even to beginners just starting their journey into analysis. His other well-known works continue to develop the themes introduced here, helping readers deepen their understanding. In conclusion, *The Course of Analysis: I. Differential Calculus. II. Integral Calculus. III. Solving Differential Equations* is more than just a textbook—it's a true treasure for anyone wishing to master the fundamentals of mathematical analysis. This book will be a reliable companion on your mathematical journey, opening doors to new knowledge and opportunities. If you seek a thorough and insightful resource on analysis, Khandrikov’s work is definitely worth your attention.