Jennifer Coopersmith (Honorary Researc Honorary Research Associate
The Lazy Universe
An Introduction to the Principle of Least Action
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Jennifer Coopersmith (Honorary Researc Honorary Research Associate
The Lazy Universe
An Introduction to the Principle of Least Action
- Gebundenes Buch
The Principle of Least Action underlies all physics and leads into quantum mechanics and Einstein's Relativity. There are some textbooks that do the calculations, and one book with nice pictures, but no book (before this one) that explains what 'action' is, and why nature follows this principle.
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The Principle of Least Action underlies all physics and leads into quantum mechanics and Einstein's Relativity. There are some textbooks that do the calculations, and one book with nice pictures, but no book (before this one) that explains what 'action' is, and why nature follows this principle.
Produktdetails
- Produktdetails
- Verlag: Oxford University Press
- Seitenzahl: 288
- Erscheinungstermin: 11. Mai 2017
- Englisch
- Abmessung: 225mm x 149mm x 23mm
- Gewicht: 532g
- ISBN-13: 9780198743040
- ISBN-10: 0198743041
- Artikelnr.: 47207717
- Verlag: Oxford University Press
- Seitenzahl: 288
- Erscheinungstermin: 11. Mai 2017
- Englisch
- Abmessung: 225mm x 149mm x 23mm
- Gewicht: 532g
- ISBN-13: 9780198743040
- ISBN-10: 0198743041
- Artikelnr.: 47207717
Jennifer Coopersmith took her PhD in nuclear physics from the University of London, and was later a research fellow at TRIUMF, University of British Columbia. She was for many years an associate lecturer for the Open University (London and Oxford), and was then a tutor on astrophysics courses at Swinburne University of Technology in Melbourne while based at La Trobe University in Bendigo, Victoria. She now lives in France.
1: Introduction
2: Antecedents
3: Mathematics and physics preliminaries
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
Appendices
A1.1: Newton's Laws of Motion
A3.1: Reversible Displacements
A2.1: Portraits of the physicists
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 Forces
A7.1: Hamilton's Transformation, Examples
A7.2: Demonstration that the p¿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 waves
2: Antecedents
3: Mathematics and physics preliminaries
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
Appendices
A1.1: Newton's Laws of Motion
A3.1: Reversible Displacements
A2.1: Portraits of the physicists
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 Forces
A7.1: Hamilton's Transformation, Examples
A7.2: Demonstration that the p¿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 waves
1: Introduction
2: Antecedents
3: Mathematics and physics preliminaries
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
Appendices
A1.1: Newton's Laws of Motion
A3.1: Reversible Displacements
A2.1: Portraits of the physicists
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 Forces
A7.1: Hamilton's Transformation, Examples
A7.2: Demonstration that the p¿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 waves
2: Antecedents
3: Mathematics and physics preliminaries
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
Appendices
A1.1: Newton's Laws of Motion
A3.1: Reversible Displacements
A2.1: Portraits of the physicists
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 Forces
A7.1: Hamilton's Transformation, Examples
A7.2: Demonstration that the p¿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 waves