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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.
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.
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.
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 |
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.
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 |
Warnhinweis