By J. Tinsley Oden

ISBN-10: 1118019032

ISBN-13: 9781118019030

A sleek method of mathematical modeling, that includes distinct purposes from the sphere of mechanics

An creation to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical versions that shape the principles of recent technology and accommodates examples that illustrate how the main winning types come up from easy rules in glossy and classical mathematical physics. Written by means of an international authority on mathematical conception and computational mechanics, the ebook offers an account of continuum mechanics, electromagnetic box concept, quantum mechanics, and statistical mechanics for readers with diversified backgrounds in engineering, laptop technology, arithmetic, and physics.

The writer streamlines a complete figuring out of the subject in 3 sincerely 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 strength; and constitutive equations

  • Electromagnetic box thought and Quantum Mechanics encompasses a short account of electromagnetic wave idea and Maxwell's equations in addition to an introductory account of quantum mechanics with similar issues together with ab initio tools and Spin and Pauli's principles

  • Statistical Mechanics offers an creation to statistical mechanics of structures in thermodynamic equilibrium in addition to continuum mechanics, quantum mechanics, and molecular dynamics

Each a part of the e-book concludes with workout units that permit readers to check their knowing of the provided fabric. Key theorems and basic 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 superb publication for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The e-book additionally serves as a useful reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.

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An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics) by J. Tinsley Oden

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