Classical Mechanics Hamiltonian and Lagrangian Formalism /

• Main Author: Deriglazov, Alexei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Continuum physics.; Mechanics.; Continuum mechanics.; Classical Continuum Physics.; Theoretical, Mathematical and Computational Physics.; Continuum Mechanics and Mechanics of Materials.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.

Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral inva...

Table of Contents:

• Sketch of Lagrangian Formalism
• Hamiltonian Formalism
• Canonical Transformations of Two-Dimensional Phase Space
• Properties of Canonical Transformations
• Integral Invariants
• Potential Motion in a Geometric Setting
• Transformations, Symmetries and Noether Theorem
• Hamiltonian Formalism for Singular Theories.