LEADER 02526nam 22003613 450 001 9910865236803321 005 20240616090237.0 010 $a9789819724840$b(electronic bk.) 010 $z9789819724833 035 $a(MiAaPQ)EBC31479615 035 $a(Au-PeEL)EBL31479615 035 $a(CKB)32291996900041 035 $a(EXLCZ)9932291996900041 100 $a20240616d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Analytical Mechanics 205 $a1st ed. 210 1$aSingapore :$cSpringer,$d2024. 210 4$d©2024. 215 $a1 online resource (137 pages) 311 08$aPrint version: Ghosh, Amitabha Introduction to Analytical Mechanics Singapore : Springer,c2024 9789819724833 327 $aIntro -- 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. 700 $aGhosh$b Amitabha$06057 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910865236803321 996 $aIntroduction to Analytical Mechanics$94169790 997 $aUNINA