Lagrangian and Hamiltonian Dynamics
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portes grátis
Lagrangian and Hamiltonian Dynamics
Mann, Peter
Oxford University Press
06/2018
560
Dura
Inglês
9780198822370
15 a 20 dias
1320
Descrição não disponível.
Part I: Newtonian Mechanics
1: Introduction
2: Newton's Three Laws
3: Energy and Work
4: Introductory Rotational Dynamics
5: The Harmonic Oscillator
6: Wave Mechanics & Elements of Mathematical Physics
Part II: Langrangian Mechanics
7: Introduction
8: Coordinates & Constraints
9: The Stationary Action Principle
10: Constrained Langrangian Mechanics
11: Point Transformations in Langrangian Mechanics
12: The Jacobi Energy Function
13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory
14: Near-Equilibrium Oscillations
15: Virtual Work & d'Alembert's Principle
Part III: Canonical Mechanics
16: Introduction
17: The Hamiltonian & Phase Space
18: Hamiltonian's equations & Routhian Reduction
19: Poisson Brackets & Angular momentum
20: Canonical & Gauge Transformations
21: Hamilton-Jacobi Theory
22: Liouville's Theorem & Classical Statistical Mechanics
23: Constrained Hamiltonian Dynamics
24: Autonomous Geometrical Mehcanics
25: The Structure of Phase Space
26: Near-Integrable Systems
Part IV: Classical Field Theory
27: Introduction
28: Langrangian Field Theory
29: Hamiltonian Field Theory
30: Clssical Electromagnetism
31: Neother's Theorem for Fields
32: Classical Path-Integrals
Part V: Preliminary Mathematics
33: The (Not so?) Basics
34: Matrices
35: Partial Differentiation
36: Legendre Transformations
37: Vector Calculus
38: Differential equations
39: Calculus of Variations
Part VI: Advanced Mathematics
40: Linear Algebra
41: Differential Geometry
Part VII: Exam Style Questions
Appendix A: Noether's Theorem Explored
Appendix B: The Action Principle Explored
Appendix C: Useful Relations
Appendxi D: Poisson & Nambu Brackets Explored
Appendix: Canonical Transformations Explored
Appendix F: Action-Angle Variables Explored
Appendix G: Statistical Mechanics Explored
Appendix H: Biographies
1: Introduction
2: Newton's Three Laws
3: Energy and Work
4: Introductory Rotational Dynamics
5: The Harmonic Oscillator
6: Wave Mechanics & Elements of Mathematical Physics
Part II: Langrangian Mechanics
7: Introduction
8: Coordinates & Constraints
9: The Stationary Action Principle
10: Constrained Langrangian Mechanics
11: Point Transformations in Langrangian Mechanics
12: The Jacobi Energy Function
13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory
14: Near-Equilibrium Oscillations
15: Virtual Work & d'Alembert's Principle
Part III: Canonical Mechanics
16: Introduction
17: The Hamiltonian & Phase Space
18: Hamiltonian's equations & Routhian Reduction
19: Poisson Brackets & Angular momentum
20: Canonical & Gauge Transformations
21: Hamilton-Jacobi Theory
22: Liouville's Theorem & Classical Statistical Mechanics
23: Constrained Hamiltonian Dynamics
24: Autonomous Geometrical Mehcanics
25: The Structure of Phase Space
26: Near-Integrable Systems
Part IV: Classical Field Theory
27: Introduction
28: Langrangian Field Theory
29: Hamiltonian Field Theory
30: Clssical Electromagnetism
31: Neother's Theorem for Fields
32: Classical Path-Integrals
Part V: Preliminary Mathematics
33: The (Not so?) Basics
34: Matrices
35: Partial Differentiation
36: Legendre Transformations
37: Vector Calculus
38: Differential equations
39: Calculus of Variations
Part VI: Advanced Mathematics
40: Linear Algebra
41: Differential Geometry
Part VII: Exam Style Questions
Appendix A: Noether's Theorem Explored
Appendix B: The Action Principle Explored
Appendix C: Useful Relations
Appendxi D: Poisson & Nambu Brackets Explored
Appendix: Canonical Transformations Explored
Appendix F: Action-Angle Variables Explored
Appendix G: Statistical Mechanics Explored
Appendix H: Biographies
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Part I: Newtonian Mechanics
1: Introduction
2: Newton's Three Laws
3: Energy and Work
4: Introductory Rotational Dynamics
5: The Harmonic Oscillator
6: Wave Mechanics & Elements of Mathematical Physics
Part II: Langrangian Mechanics
7: Introduction
8: Coordinates & Constraints
9: The Stationary Action Principle
10: Constrained Langrangian Mechanics
11: Point Transformations in Langrangian Mechanics
12: The Jacobi Energy Function
13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory
14: Near-Equilibrium Oscillations
15: Virtual Work & d'Alembert's Principle
Part III: Canonical Mechanics
16: Introduction
17: The Hamiltonian & Phase Space
18: Hamiltonian's equations & Routhian Reduction
19: Poisson Brackets & Angular momentum
20: Canonical & Gauge Transformations
21: Hamilton-Jacobi Theory
22: Liouville's Theorem & Classical Statistical Mechanics
23: Constrained Hamiltonian Dynamics
24: Autonomous Geometrical Mehcanics
25: The Structure of Phase Space
26: Near-Integrable Systems
Part IV: Classical Field Theory
27: Introduction
28: Langrangian Field Theory
29: Hamiltonian Field Theory
30: Clssical Electromagnetism
31: Neother's Theorem for Fields
32: Classical Path-Integrals
Part V: Preliminary Mathematics
33: The (Not so?) Basics
34: Matrices
35: Partial Differentiation
36: Legendre Transformations
37: Vector Calculus
38: Differential equations
39: Calculus of Variations
Part VI: Advanced Mathematics
40: Linear Algebra
41: Differential Geometry
Part VII: Exam Style Questions
Appendix A: Noether's Theorem Explored
Appendix B: The Action Principle Explored
Appendix C: Useful Relations
Appendxi D: Poisson & Nambu Brackets Explored
Appendix: Canonical Transformations Explored
Appendix F: Action-Angle Variables Explored
Appendix G: Statistical Mechanics Explored
Appendix H: Biographies
1: Introduction
2: Newton's Three Laws
3: Energy and Work
4: Introductory Rotational Dynamics
5: The Harmonic Oscillator
6: Wave Mechanics & Elements of Mathematical Physics
Part II: Langrangian Mechanics
7: Introduction
8: Coordinates & Constraints
9: The Stationary Action Principle
10: Constrained Langrangian Mechanics
11: Point Transformations in Langrangian Mechanics
12: The Jacobi Energy Function
13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory
14: Near-Equilibrium Oscillations
15: Virtual Work & d'Alembert's Principle
Part III: Canonical Mechanics
16: Introduction
17: The Hamiltonian & Phase Space
18: Hamiltonian's equations & Routhian Reduction
19: Poisson Brackets & Angular momentum
20: Canonical & Gauge Transformations
21: Hamilton-Jacobi Theory
22: Liouville's Theorem & Classical Statistical Mechanics
23: Constrained Hamiltonian Dynamics
24: Autonomous Geometrical Mehcanics
25: The Structure of Phase Space
26: Near-Integrable Systems
Part IV: Classical Field Theory
27: Introduction
28: Langrangian Field Theory
29: Hamiltonian Field Theory
30: Clssical Electromagnetism
31: Neother's Theorem for Fields
32: Classical Path-Integrals
Part V: Preliminary Mathematics
33: The (Not so?) Basics
34: Matrices
35: Partial Differentiation
36: Legendre Transformations
37: Vector Calculus
38: Differential equations
39: Calculus of Variations
Part VI: Advanced Mathematics
40: Linear Algebra
41: Differential Geometry
Part VII: Exam Style Questions
Appendix A: Noether's Theorem Explored
Appendix B: The Action Principle Explored
Appendix C: Useful Relations
Appendxi D: Poisson & Nambu Brackets Explored
Appendix: Canonical Transformations Explored
Appendix F: Action-Angle Variables Explored
Appendix G: Statistical Mechanics Explored
Appendix H: Biographies
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
