A Student's Guide to Lagrangians and Hamil...

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Sprache: Englisch

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Beschreibung

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

Über den Autor

Patrick Hamill is Professor Emeritus of Physics at San José State University. He has taught physics for over thirty years and his research interests are in celestial mechanics and atmospheric physics.

Inhaltsverzeichnis

Part I. Lagrangian Mechanics: 1. Fundamental concepts; 2. The calculus of variations; 3. Lagrangian dynamics; Part II. Hamiltonian Mechanics: 4. Hamilton's equations; 5. Canonical transformations: Poisson brackets; 6. Hamilton-Jacobi theory; 7. Continuous systems; Further reading; Index.

Erscheinungsjahr:	2013
Fachbereich:	Theoretische Physik
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9781107617520
ISBN-10:	1107617529
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Hamill, Patrick
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 11 mm
Von/Mit:	Patrick Hamill
Erscheinungsdatum:	21.11.2013
Gewicht:	0,276 kg