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Solved Problems in Lagrangian and Hamiltonian Mechanics

Claude Gignoux, Bernard Silvestre-Brac (Autoren)

Buch | Hardcover

464 Seiten

2009
Springer (Verlag)
978-90-481-2392-6 (ISBN)

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The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader.

This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.

The Lagrangian Formulation.- Lagrangian Systems.- Hamilton’s Principle.- Hamiltonian Formalism.- Hamilton–Jacobi Formalism.- Integrable Systems.- Quasi-Integrable Systems.- From Order to Chaos.

Erscheint lt. Verlag	17.7.2009
Zusatzinfo	XVIII, 464 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	90-481-2392-5 / 9048123925
ISBN-13	978-90-481-2392-6 / 9789048123926
Zustand	Neuware