An Introduction To Hamiltonian Mechanics - Torres Del Castillo Gerardo F. | Libro Birkhäuser 09/2018 - HOEPLI.it


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An Introduction to Hamiltonian Mechanics




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 09/2018
Edizione: 1st ed. 2018





Sommario

Preface.- The Lagrangian Formalism.- Some Applications of the Lagrangian Formalism.- Rigid Bodies.- The Hamiltonian Formalism.- Canonical Transformations.- The Hamilton–Jacobi Formalism.- Solutions.- References.- Index.




Trama

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises.

For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. 

Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.




Autore

Gerardo F. Torres del Castillo is a professor of physics and mathematics at the Universidad Autónoma de Puebla, where he has taught since 1979. He is the author or coauthor of more than 30 papers on classical mechanics. His other published books are Differentiable Manifolds; 3-D Spinors, Spin-Weighted Functions and their Applications; and Spinors in Four-Dimensional Spaces.







Altre Informazioni

ISBN:

9783319952246

Condizione: Nuovo
Collana: Birkhäuser Advanced Texts Basler Lehrbücher
Dimensioni: 235 x 155 mm Ø 887 gr
Formato: Copertina rigida
Illustration Notes:42 Illustrations, black and white
Pagine Arabe: 366
Pagine Romane: x






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