02526nam 22003613 450 991086523680332120240616090237.09789819724840(electronic bk.)9789819724833(MiAaPQ)EBC31479615(Au-PeEL)EBL31479615(CKB)32291996900041(EXLCZ)993229199690004120240616d2024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to Analytical Mechanics1st ed.Singapore :Springer,2024.©2024.1 online resource (137 pages)Print version: Ghosh, Amitabha Introduction to Analytical Mechanics Singapore : Springer,c2024 9789819724833 Intro -- Preface -- Contents -- About the Author -- List of Figures -- List of Tables -- 1 Introduction -- 1.1 Introduction -- 1.2 Principle of Least Action -- 1.3 Comparison of Vectorial and Variational Approaches -- 2 Basic Concepts in Analytical Mechanics -- 2.1 Degrees of Freedom and Generalized Coordinates -- 2.2 Constraints and Configuration Space -- 2.3 Virtual Displacement -- 2.4 Virtual Work and the Principle of Virtual Work -- 2.5 D'Alembert's Principle and Force of Inertia -- 2.6 Exercise Problems -- 3 Lagrange's Equation -- 3.1 Lagrange's Equation -- 3.2 Understanding the Difference Between Actual and Virtual … -- 3.3 Technique of Lagrange Undetermined Multiplier -- 3.4 Application of Lagrange's Multiplier Technique-Determination … -- 3.5 Lagrange Multiplier Technique for Non-holonomic Systems -- 3.6 Review of Lagrange's Equation -- 3.7 Exercise Problems -- 4 Action Concept and Hamilton's Principle -- 4.1 Principle of Least Action and Hamilton's Principle -- 4.2 Calculus of Variation -- 4.3 Exercise Problems -- 5 Hamiltonian Mechanics -- 5.1 Hamiltonian Mechanics and Hamilton's Equations -- 5.2 Ignorable Coordinates, Conservation Principle and the Routhian Function -- 5.3 Concept of Phase Space, Phase Fluid and Liouville's Theorem -- 5.4 Canonical Transformations, Poisson Bracket and Hamilton-Jacobi Equation -- 5.5 Exercise Problems -- Appendix Answers to Selected Exercise Problems -- Appendix Further Reading -- Index.Ghosh Amitabha6057MiAaPQMiAaPQMiAaPQ9910865236803321Introduction to Analytical Mechanics4169790UNINA