Classical Mechanics Hamiltonian and Lagrangian Formalism /

• Main Author: Deriglazov, Alexei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Continuum mechanics.; Classical Mechanics.; Theoretical, Mathematical and Computational Physics.; Continuum Mechanics and Mechanics of Materials.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.

The revised edition of this advanced text provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamilt...

Table of Contents:

• Sketch of Lagrangian Formalism
• Hamiltonian Formalism
• Canonical Transformations of Two-Dimensional Phase Space
• Properties of Canonical Transformations
• Integral Invariants
• Some Mechanical Problems in a Geometric Setting
• Transformations, Symmetries and Noether Theorem
• Hamiltonian Formalism for Singular Theories
• Classical and Quantum Relativistic Mechanics of a Spinning Particle
• Index.