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An Introduction to Mathematical Modeling: A Course in Mechanics Book

An Introduction to Mathematical Modeling: A Course in Mechanics
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An Introduction to Mathematical Modeling: A Course in Mechanics, A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern scie, An Introduction to Mathematical Modeling: A Course in Mechanics
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  • An Introduction to Mathematical Modeling: A Course in Mechanics
  • Written by author J. Tinsley Oden
  • Published by Wiley, John & Sons, Incorporated, 10/18/2011
  • A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern scie
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Authors

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. 


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An Introduction to Mathematical Modeling: A Course in Mechanics, A modern approach to mathematical modeling, featuring unique applications from the field of mechanics
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An Introduction to Mathematical Modeling: A Course in Mechanics, A modern approach to mathematical modeling, featuring unique applications from the field of mechanics
An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern scie, An Introduction to Mathematical Modeling: A Course in Mechanics

An Introduction to Mathematical Modeling: A Course in Mechanics

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An Introduction to Mathematical Modeling: A Course in Mechanics, A modern approach to mathematical modeling, featuring unique applications from the field of mechanics
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An Introduction to Mathematical Modeling: A Course in Mechanics

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