Rigid Body as a Constrained System

Lagrangian and Hamiltonian Formalism

Alexei A. Deriglazov (Autor)

Buch | Hardcover

199 Seiten

2024 | Unabridged edition
Cambridge Scholars Publishing (Verlag)
978-1-0364-1287-6 (ISBN)

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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.

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".

Erscheinungsdatum	01.10.2024
Verlagsort	Newcastle upon Tyne
Sprache	englisch
Maße	148 x 212 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-0364-1287-3 / 1036412873
ISBN-13	978-1-0364-1287-6 / 9781036412876
Zustand	Neuware