By J. Tinsley Oden
A sleek method of mathematical modeling, that includes certain purposes from the sector of mechanics
An advent to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical types that shape the rules of contemporary technology and contains examples that illustrate how the main winning types come up from simple ideas in smooth and classical mathematical physics. Written by way of an international authority on mathematical thought and computational mechanics, the booklet provides an account of continuum mechanics, electromagnetic box idea, quantum mechanics, and statistical mechanics for readers with diverse backgrounds in engineering, laptop technology, arithmetic, and physics.
The writer streamlines a accomplished figuring out of the subject in 3 sincerely prepared 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 incorporates 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 equipment and Spin and Pauli's principles
Statistical Mechanics provides 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 permit readers to check their knowing of the awarded fabric. Key theorems and primary 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 wonderful ebook for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The booklet additionally serves as a helpful reference for execs operating within the components of modeling and simulation, physics, and computational engineering.
Read or Download An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics) PDF
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