By J. Tinsley Oden
A sleek method of mathematical modeling, that includes precise functions from the sector of mechanics
An advent to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical types that shape the rules of recent technology and contains examples that illustrate how the main profitable versions come up from simple ideas in smooth and classical mathematical physics. Written through an international authority on mathematical conception and computational mechanics, the ebook offers an account of continuum mechanics, electromagnetic box thought, quantum mechanics, and statistical mechanics for readers with various backgrounds in engineering, laptop technological know-how, arithmetic, and physics.
The writer streamlines a entire realizing of the subject in 3 basically prepared sections:
Nonlinear Continuum Mechanics introduces kinematics in addition to strength and rigidity in deformable our bodies; mass and momentum; stability of linear and angular momentum; conservation of power; and constitutive equations
Electromagnetic box idea and Quantum Mechanics features a short account of electromagnetic wave thought and Maxwell's equations in addition to an introductory account of quantum mechanics with comparable subject matters together with ab initio equipment and Spin and Pauli's principles
Statistical Mechanics offers an advent to statistical mechanics of structures in thermodynamic equilibrium in addition to continuum mechanics, quantum mechanics, and molecular dynamics
Each a part of the booklet concludes with workout units that let readers to check their realizing of the awarded fabric. Key theorems and primary equations are highlighted all through, and an intensive bibliography outlines assets for additional study.
Extensively class-tested to make sure an available presentation, An advent to Mathematical Modeling is a wonderful ebook for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The booklet additionally serves as a beneficial reference for execs operating within the components of modeling and simulation, physics, and computational engineering.
Read or Download An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics) PDF
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Additional resources for An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics)
An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics) by J. Tinsley Oden