Symmetry, Topology and Resonance in Hamiltonian Mechanics

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Symmetry, Topology, and Resonances in Hamiltonian Mechanics by B. In. Kozlov is a fascinating and deep dive into the world of theoretical physics, where such disciplines as mathematics, mechanics and physics intersect. This work will be a real discovery for students, graduate students and teachers, as well as for all those who are interested in modern approaches to the study of dynamic systems. The book focuses on the key concepts of Hamiltonian mechanics, which allow you to explore complex systems using mathematical methods. The author masterfully explains how symmetries and topological properties affect the dynamics of systems, as well as how resonant phenomena can manifest themselves in various physical contexts. The reader is immersed in a world where every equation and every theorem comes to life, opening up new horizons of understanding. Kozlov, known for his deep knowledge and original approach, creates a unique atmosphere in which the reader not only learns information, but also begins to feel how the mechanism of the physical world works. His style of presentation combines the rigor of scientific language and accessibility, which allows even those who are not experts in theoretical physics to understand the basic ideas and concepts. The topics raised in the book cover a wide range of issues, from the basics of Hamiltonian mechanics to more complex aspects such as the study of phase spaces and their topological properties. Kozlov emphasizes the importance of symmetries, which play a key role in the formation of conservation laws and, consequently, in the behavior of physical systems. Resonances, in turn, are considered as phenomena that can lead to unexpected and sometimes dramatic changes in the dynamics of systems. This book will be especially interesting for those who are fond of mathematical physics, theoretical mechanics and mathematical modeling. Students studying physics and mathematics will find in it useful materials for preparing for exams and scientific works . Teachers will be able to use it as an additional resource for their courses, and researchers as a source of inspiration for new ideas and projects. Kozlov not only shares his knowledge, but also inspires the reader to further study His previous works, such as Hamiltonian Mechanics and Its Applications and Dynamical Systems Theory, have already gained recognition in academia and have become foundational for many students and professionals. In this book, he continues to develop his ideas, deepening his understanding of complex physical processes. If you are looking for a book that will not only expand your knowledge of Hamiltonian mechanics, but also give you the opportunity to look at physics from a new perspective, “Symmetry, Topology and Resonances in Hamiltonian Mechanics” will be a real find for you. This work is not just a textbook, but a real encyclopedia of ideas that will be useful for both beginners and experienced researchers. Do not miss the chance to immerse yourself in a world where mathematics and physics combine into a harmonious whole, opening up new horizons for your understanding of the laws of nature. Read, explore, and be inspired with B. In. Goat!
LF/651017962/R
Data sheet
- Name of the Author
- Козлов В.В.
- Language
- Russian
- ISBN
- 9785702901268
- Release date
- 1995