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Body as a Constrained System: Lagrangian and Hamiltonian Formalism

English

By (author): Alexei A. Deriglazov

This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics, using both Lagrangian and Hamiltonian formulations. Choosing the variational problem as a sole starting point, it treats the rigid body as a system of particles with holonomic constraints within the standard methods of classical mechanics, eliminating the need for additional postulates. All basic quantities, equations, and integrals of motion are derived systematically. The rotation matrix, central to the formalism, is the main focus. The reader should find this approach more simple, transparent, and convincing than the traditional presentations. Chapter 2 covers the theory, while subsequent chapters apply the formalism to motions under external forces. Issues of integrability and many cases of solutions in elementary functions are presented. This book is suitable for undergraduate and graduate students familiar with classical mechanics. See more
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Product Details
  • Dimensions: 148 x 212mm
  • Publication Date: 01 Dec 2024
  • Publisher: Cambridge Scholars Publishing
  • Publication City/Country: United Kingdom
  • Language: English
  • ISBN13: 9781036412876

About Alexei A. Deriglazov

Alexei A. Deriglazov received his PhD in Physics and Mathematics in 1989 from Tomsk University Russia. From 1989 to 1998 he was an Assistant Associate and Full Professor at the Department of Mathematics of Tomsk Polytechnic University Russia. He was Visiting Professor from 1998 to 1999 at the Universidade de São Paulo Brazil and from 2000 to 2001 at the Universidade Federal de Rio de Janeiro Brazil. Since 2002 he has been an Assistant Associate and Full Professor at the Department of Mathematics at the Universidade Federal de Juiz de Fora Brazil. He has published more than 90 articles on theoretical and mathematical physics as well as the university-level textbook A. A. Deriglazov Classical mechanics: Hamiltonian and Lagrangian formalism.

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