The lazy universe : an introduction to the principle of least action /
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| Format: | eBook |
| Language: | English |
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Oxford, United Kingdom ; New York, NY, United States of America :
Oxford University Press,
2017.
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| Edition: | First edition. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Cover; Preface; Contents; List of Figures; 1 Introduction; 2 Antecedents; 3 Mathematics and physics preliminaries: of hills and plains and other things; 4 The Principle of Virtual Work; 5 D'Alembert's Principle; 6 Lagrangian Mechanics; 7 Hamiltonian Mechanics; 8 The whole of physics; 9 Final words; A1.1 Newton's Laws of Motion; A2.1 Portraits of the physicists; A3.1 Reversible displacements; A6.1 Worked examples in Lagrangian Mechanics; A6.2 Proof that T is a function of v2 ; A6.3 Energy conservation and the homogeneity of time; A6.4 The method of Lagrange Multipliers
- A6.5 Generalized ForcesA7.1 Hamilton's Transformation, examples; A7.2 Demonstration that the pi s are independent coordinates; A7.3 Worked examples in Hamiltonian Mechanics; A7.4 Incompressibility of the phase fluid; A7.5 Energy conservation in extended phase space; A7.6 Link between the action, S, and the 'circulation'; A7.7 Transformation equations linking p and q via S; A7.8 Infinitesimal canonical transformations; A7.9 Perpendicularity of wavefronts and rays; A7.10 Problems solved using the Hamilton-Jacobi Equation; A7.11 Quasi refractive index in mechanics
- A7.12 Einstein's link between Action and the de Broglie wavesBibliography and Further Reading; Index