Mathematical Methods of Classical Mechanics

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"Mathematical Methods of Classical Mechanics" is an outstanding work of the outstanding Soviet mathematician and mechanic Vladimir Igorevich Arnold, which became a reference book for students, graduate students and researchers involved in physics and mathematics. This book is not just a textbook, but a deep dive into the world of mathematical foundations of mechanics, where each page is filled not only with theory, but also with practical examples that make complex concepts accessible and understandable. The book focuses on mathematical methods used to solve problems of classical mechanics. Arnold masterfully combines a rigorous mathematical approach with physical intuitions, which allows the reader not only to assimilate the material, but also to develop his own understanding of mechanical processes. It covers a wide range of topics, from the basics of kinematics and dynamics to more complex concepts such as Lyapunov theory and variational methods. Each chapter of the book is imbued with the spirit of research, which makes it especially attractive for those who seek not just to memorize formulas, but to understand how they work in the real world. The book will be of interest to a wide range of readers: from students of technical universities to professional physicists and mathematicians. Whether you’re passionate about physics, mathematics, engineering, or just want to get a deeper understanding of how the world around you works, Mathematical Methods of Classical Mechanics will be a real treasure for you. It is suitable for both those who are just beginning their journey in the study of mechanics, and for those who already have experience and want to deepen their knowledge. One of the key topics raised in the book is the relationship between mathematical models and physical phenomena. Arnold shows how mathematical abstractions can be used to describe real-world processes, making his work particularly relevant in an era when science and technology are rapidly evolving. The book also addresses symmetry and conservation issues, which are fundamental in mechanics, and explains how these concepts help in solving complex problems. Arnold's style is clear and logical. He skillfully uses real-life examples to illustrate complex ideas, which makes reading not only cognitive, but also fascinating. In addition, his ability to explain even the most abstract concepts in simple language makes the book available to a wide audience. Arnold is also known for his other works, such as "Geometry and Dynamics" and "Ordinary Differential Equations", which also deserve attention and can complement the understanding of the topics touched upon in the Mathematical Methods of Classical Mechanics. This book is not just a textbook, but a real encyclopedia of knowledge that will help readers develop analytical thinking and learn how to use mathematical methods to solve real problems. It will be an excellent addition to the library for anyone interested in physics, mathematics and engineering, as well as those who want to deepen their knowledge in the field of mechanics. If you are looking for a qualitative and deep source of knowledge in classical mechanics that combines theory and practice, Vladimir Igorevich Arnold’s Mathematical Methods of Classical Mechanics is exactly what you need. Do not miss the opportunity to discover a world where mathematics and physics are intertwined in a fascinating dance, creating a basis for understanding the laws governing our reality.
LF/629611380/R
Data sheet
- Name of the Author
- Арнольд В.И.
- Language
- Russian
- Release date
- 1989