Isomorphism and Hamiltonian representation of some non-holonomic systems

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The book "Isomorphism and Hamiltonian representation of some non-holonomic systems" by Borisov A . In. and Mamaeva I. C. It is an in-depth and fascinating study in theoretical mechanics and mathematical physics. This publication will be of particular interest to those who seek to understand complex concepts of system dynamics, as well as those engaged in scientific research in the fields of mechanics, physics and mathematics. The authors, known for their deep knowledge and original approaches, offer readers a unique opportunity to immerse themselves in the world of non-holonomic systems, which are systems in which restrictions are time-independent. Unlike classical mechanical systems, where all constraints can be expressed by reference to coordinates and time, non-holonomic systems require a more complex approach to analyze their behavior. The book explores various aspects of isomorphism and Hamiltonian mechanics, allowing the reader to see how these concepts intertwine and influence the dynamics of systems. One of the key topics of the book is isomorphism, which in this context is considered as a way to simplify the analysis of complex systems. The authors explain how isomorphic transformations can produce simpler models that preserve the basic properties of the original systems. This opens new horizons for researchers, allowing them to find solutions that would not be available with traditional approaches. The book will be especially useful to graduate students, students and researchers interested in theoretical mechanics, as well as anyone who wants to deepen their knowledge in mathematical physics. It is suitable both for those who are just starting their way in this field, and for experienced specialists who are trying to expand their horizons and get acquainted with new approaches to the study of non-holonomic systems. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily assimilate complex mathematical concepts. Borisov A . In. and Mamaev I. C. are known for their work in mechanics and dynamics, and their previous publications have already established themselves as reliable sources of knowledge This publication is no exception and continues their tradition of providing high-quality scientific literature. The topics raised in the book go beyond purely mathematical aspects. The authors also address the application of the results in various fields of science and technology.. For example, understanding non-holonomic systems can be useful in robotics, where it is necessary to take into account the limitations that arise in the process of movement of robots. In addition, the book may be of interest to those who work in the field of fluid and gas mechanics, where similar systems are also important. In conclusion, "Isomorphism and Hamiltonian representation of some non-holonomic systems" is not just a textbook, but a real find for everyone who seeks to understand complex mechanical systems and their behavior. This book will become an indispensable assistant for students, graduate students and researchers, opening up new horizons in the study of theoretical mechanics. If you are looking for a deep and meaningful study that will help you better understand the dynamics of non-holonomic systems, then this publication should definitely take its rightful place on your bookshelf.
LF/449152414/R
Data sheet
- Name of the Author
- Борисов А.В.
Мамаев И.С. - Language
- Russian
- Release date
- 2007