By J. Tinsley Oden
A glossy method of mathematical modeling, that includes precise functions 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 recent technological know-how and contains examples that illustrate how the main winning types come up from simple rules in sleek and classical mathematical physics. Written by means of an international authority on mathematical concept and computational mechanics, the ebook offers an account of continuum mechanics, electromagnetic box conception, quantum mechanics, and statistical mechanics for readers with various backgrounds in engineering, computing device technological know-how, arithmetic, and physics.
The writer streamlines a accomplished figuring out of the subject in 3 in actual fact geared up 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 concept and Quantum Mechanics includes a short account of electromagnetic wave conception 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 structures in thermodynamic equilibrium in addition to continuum mechanics, quantum mechanics, and molecular dynamics
Each a part of the publication concludes with workout units that permit readers to check their figuring out of the offered 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 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 ebook additionally serves as a necessary reference for execs operating within the parts of modeling and simulation, physics, and computational engineering.
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Extra 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