Mathematical Principles of Mechanics and Electromagnetism
Part A: Analytical and Continuum Mechanics
Published on 27. December 2012
Book
Paperback/Softback
XIV, 198 pages
978-1-4684-3538-2 (ISBN)
Description
of Part A.- 1. Lagrangian Mechanics of Particles and Rigid Bodies.- Section 1. Kinematics of Systems of Particles.- Section 2. Kinematics of a Rigid Body.- Section 3. Kinematics of Holonomic Systems of Particles and Rigid Bodies.- Section 4. Dynamical Principles for Particles and Rigid Bodies.- Section 5. Lagrange¿s Equations for Constrained Systems.- Section 6. Explicit Forms of Lagrange¿s Equations.- 2. Hamiltonian Systems in Phase Space.- Section 7. Hamilton¿s Principle.- Section 8. Phase Space and Its Canonical Differential Forms.- Section 9. The Legendre Transformation and the Hamiltonian System I: The Time-Independent Case.- Section 10. The Legendre Transformation and the Hamiltonian System II: The Time-Dependent Case.- Section 11. Contact Transformations and the Hamilton-Jacobi Equation.- Section 12. The Hamilton-Jacobi Theory.- Section 13. Huygens¿ Principle for the Hamilton-Jacobi Equation 72 Appendix. Characteristics of a First-Order Partial Differential Equation.- 3. Basic Principles of Continuum Mechanics.- Section 14. Deformations and Motions.- Section 15. Balance Principles.- Section 16. Cauchy¿s Postulate and the Stress Principle.- Section 17. Field Equations.- Section 18. Constitutive Equations.- Section 19. Some Representation Theorems.- Section 20. The Energy Principle for Hyperelastic Materials.- Section 21. Internal Constraints.- 4. Some Topics in the Statics and Dynamics of Material Bodies.- Section 22. Homogeneous Simple Material Bodies.- Section 23. Viscometric Flows of Incompressible Simple Fluids.- Section 24. Universal Solutions for Isotropic Elastic Solids I: The Compressible Case.- Section 25. Universal Solutions for Isotropic Elastic Solids II: The Incompressible Case.- Section 26. Materially Uniform Smooth Elastic Bodies.- Section 27. Material Connections.- Section 28. Noll¿s Equations of Motion.- Section 29. Inhomogeneous Isotropic Elastic Solid Bodies.- Selected Reading for Part A.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1979
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XIV, 198 p.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 13 mm
Weight
326 gr
ISBN-13
978-1-4684-3538-2 (9781468435382)
DOI
10.1007/978-1-4684-3536-8
Other editions
Additional editions
Chao-Cheng Wang | C. Wang
Mathematical Principles of Mechanics and Electromagnetism
Part A: Analytical and Continuum Mechanics
Book
09/1979
Springer
€111.73
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Content
of Part A.- 1. Lagrangian Mechanics of Particles and Rigid Bodies.- Section 1. Kinematics of Systems of Particles.- Section 2. Kinematics of a Rigid Body.- Section 3. Kinematics of Holonomic Systems of Particles and Rigid Bodies.- Section 4. Dynamical Principles for Particles and Rigid Bodies.- Section 5. Lagrange's Equations for Constrained Systems.- Section 6. Explicit Forms of Lagrange's Equations.- 2. Hamiltonian Systems in Phase Space.- Section 7. Hamilton's Principle.- Section 8. Phase Space and Its Canonical Differential Forms.- Section 9. The Legendre Transformation and the Hamiltonian System I: The Time-Independent Case.- Section 10. The Legendre Transformation and the Hamiltonian System II: The Time-Dependent Case.- Section 11. Contact Transformations and the Hamilton-Jacobi Equation.- Section 12. The Hamilton-Jacobi Theory.- Section 13. Huygens' Principle for the Hamilton-Jacobi Equation 72 Appendix. Characteristics of a First-Order Partial Differential Equation.- 3. Basic Principles of Continuum Mechanics.- Section 14. Deformations and Motions.- Section 15. Balance Principles.- Section 16. Cauchy's Postulate and the Stress Principle.- Section 17. Field Equations.- Section 18. Constitutive Equations.- Section 19. Some Representation Theorems.- Section 20. The Energy Principle for Hyperelastic Materials.- Section 21. Internal Constraints.- 4. Some Topics in the Statics and Dynamics of Material Bodies.- Section 22. Homogeneous Simple Material Bodies.- Section 23. Viscometric Flows of Incompressible Simple Fluids.- Section 24. Universal Solutions for Isotropic Elastic Solids I: The Compressible Case.- Section 25. Universal Solutions for Isotropic Elastic Solids II: The Incompressible Case.- Section 26. Materially Uniform Smooth Elastic Bodies.- Section27. Material Connections.- Section 28. Noll's Equations of Motion.- Section 29. Inhomogeneous Isotropic Elastic Solid Bodies.- Selected Reading for Part A.