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An introduction to mathematical modeling : a course in mechanics /
"An important resource, this book provides a short-course in nonlinear continuum mechanics, contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics, and presents a brief introduction to statistical mechanics of...
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| Format: | Printed Book |
| Language: | English |
| Published: |
Hoboken, N.J. :
Wiley,
c2011.
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| Series: | Wiley series in computational mechanics
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| Subjects: |
Table of Contents:
- Machine generated contents note: Preface.I. Nonlinear Continuum Mechanics.1. Kinematics of Deformable Bodies.2. Mass and Momentum.3. Force and Stress in Deformable Bodies.4. The Principles of Balance of Linear and Angular Momentum.5. The Principle of Conservation of Energy.6. Thermodynamics of Continua and the Second Law.7. Constitutive Equations.8. Examples and Applications.II. Electromagnetic Field Theory and Quantum Mechanics.9. Electromagnetic Waves.10. Introduction to Quantum Mechanics.11. Dynamical Variables and Observables in Quantum Mechanics: The Mathematical Formalism.12. Applications: The Harmonic Oscillator and the Hydrogen Atom.13. Spin and Pauli's Principle.14. Atomic and Molecular Structure.15. Ab Initio Methods: Approximate Methods and Density Functional Theory.III. Statistical Mechanics.16. Basic Concepts: Ensembles, Distribution Functions and Averages.17. Statistical Mechanics Basis of Classical Thermodynamics.Exercises.References. .