By J. Tinsley Oden
A sleek method of mathematical modeling, that includes detailed purposes from the sector of mechanics
An creation to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical types that shape the rules of recent technology and accommodates examples that illustrate how the main winning types come up from simple ideas in glossy and classical mathematical physics. Written by means of a global authority on mathematical conception and computational mechanics, the ebook provides an account of continuum mechanics, electromagnetic box conception, quantum mechanics, and statistical mechanics for readers with diverse backgrounds in engineering, machine technology, arithmetic, and physics.
The writer streamlines a complete realizing of the subject in 3 sincerely equipped 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 strength; and constitutive equations
Electromagnetic box conception and Quantum Mechanics incorporates a short account of electromagnetic wave concept and Maxwell's equations in addition to an introductory account of quantum mechanics with comparable themes 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 ebook concludes with workout units that let readers to check their knowing of the provided fabric. Key theorems and primary equations are highlighted all through, and an intensive bibliography outlines assets for extra study.
Extensively class-tested to make sure an obtainable presentation, An creation to Mathematical Modeling is a superb booklet for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The ebook additionally serves as a beneficial reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.