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An Introduction to Mathematical Modeling: A Course in by J. Tinsley Oden

By J. Tinsley Oden

A glossy method of mathematical modeling, that includes special purposes from the sector of mechanics

An creation to Mathematical Modeling: A path in Mechanics is designed to survey the mathematical versions that shape the rules of contemporary technological know-how and contains examples that illustrate how the main profitable versions come up from simple ideas in glossy and classical mathematical physics. Written by means of an international authority on mathematical idea and computational mechanics, the booklet offers an account of continuum mechanics, electromagnetic box thought, quantum mechanics, and statistical mechanics for readers with diversified backgrounds in engineering, laptop technology, arithmetic, and physics.

The writer streamlines a entire realizing of the subject in 3 truly geared up sections:

  • Nonlinear Continuum Mechanics introduces kinematics in addition to strength and pressure in deformable our bodies; mass and momentum; stability of linear and angular momentum; conservation of power; and constitutive equations

  • Electromagnetic box conception and Quantum Mechanics includes a short account of electromagnetic wave idea and Maxwell's equations in addition to an introductory account of quantum mechanics with comparable subject matters together with ab initio tools and Spin and Pauli's principles

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

Each a part of the ebook concludes with workout units that let readers to check their realizing of the offered fabric. Key theorems and basic equations are highlighted all through, and an in depth bibliography outlines assets for additional study.

Extensively class-tested to make sure an obtainable presentation, An creation to Mathematical Modeling is a wonderful e-book for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The publication additionally serves as a invaluable reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.

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