Read e-book online An Introduction to Mathematical Modeling: A Course in PDF

By J. Tinsley Oden

ISBN-10: 1118019032

ISBN-13: 9781118019030

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

An advent to Mathematical Modeling: A path in Mechanics is designed to survey the mathematical versions that shape the principles of contemporary technology and accommodates examples that illustrate how the main winning versions come up from simple ideas in glossy and classical mathematical physics. Written by way of an international authority on mathematical conception and computational mechanics, the e-book provides an account of continuum mechanics, electromagnetic box concept, quantum mechanics, and statistical mechanics for readers with assorted backgrounds in engineering, desktop technology, arithmetic, and physics.

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

  • Nonlinear Continuum Mechanics introduces kinematics in addition to strength and tension 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 thought and Maxwell's equations in addition to an introductory account of quantum mechanics with comparable issues together with ab initio tools and Spin and Pauli's principles

  • Statistical Mechanics provides 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 figuring out of the awarded fabric. Key theorems and basic equations are highlighted all through, and an in depth bibliography outlines assets for extra 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 e-book additionally serves as a invaluable 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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