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Solved Problems in Lagrangian and Hamiltonian Mechanics
Taschenbuch von Bernard Silvestre-Brac (u. a.)
Sprache: Englisch

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Beschreibung
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 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.
Zusammenfassung

The chosen problems often originate from real physical situations

They are worked out in detail so that the reader may perfectly integrate all the notions presented in the summary of the course

Inhaltsverzeichnis
Foreword
Synoptic Tables.
Chapter 1 : The Lagrangian formulation (1 1 problems)
Chapter 2 : Lagrangian systems (14 problems)
Chapter 3 : The Hamilton's principle (15 problems)
Chapter 4 : The Hamiltonian formalism (17 problems)
Chapter 5 : The Hamilton-Jacobi formalism (1 1 problems)
Chapter 6 : Integrable systems (18 problems)
Chapter 7 : Quasi-integrable systems (9 problems)
Chapter 8 : From order to chaos (12 problems).
Bibliography.
Details
Erscheinungsjahr: 2014
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xviii
464 S.
ISBN-13: 9789400791763
ISBN-10: 9400791763
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Silvestre-Brac, Bernard
Gignoux, Claude
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 27 mm
Von/Mit: Bernard Silvestre-Brac (u. a.)
Erscheinungsdatum: 16.11.2014
Gewicht: 0,727 kg
Artikel-ID: 104994782
Zusammenfassung

The chosen problems often originate from real physical situations

They are worked out in detail so that the reader may perfectly integrate all the notions presented in the summary of the course

Inhaltsverzeichnis
Foreword
Synoptic Tables.
Chapter 1 : The Lagrangian formulation (1 1 problems)
Chapter 2 : Lagrangian systems (14 problems)
Chapter 3 : The Hamilton's principle (15 problems)
Chapter 4 : The Hamiltonian formalism (17 problems)
Chapter 5 : The Hamilton-Jacobi formalism (1 1 problems)
Chapter 6 : Integrable systems (18 problems)
Chapter 7 : Quasi-integrable systems (9 problems)
Chapter 8 : From order to chaos (12 problems).
Bibliography.
Details
Erscheinungsjahr: 2014
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xviii
464 S.
ISBN-13: 9789400791763
ISBN-10: 9400791763
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Silvestre-Brac, Bernard
Gignoux, Claude
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 27 mm
Von/Mit: Bernard Silvestre-Brac (u. a.)
Erscheinungsdatum: 16.11.2014
Gewicht: 0,727 kg
Artikel-ID: 104994782
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