By J. Tinsley Oden
A sleek method of mathematical modeling, that includes specific functions from the sector of mechanics
An advent to Mathematical Modeling: A path in Mechanics is designed to survey the mathematical versions that shape the rules of contemporary technological know-how and accommodates examples that illustrate how the main profitable versions come up from simple ideas in glossy and classical mathematical physics. Written by means of a global authority on mathematical concept and computational mechanics, the publication provides an account of continuum mechanics, electromagnetic box concept, quantum mechanics, and statistical mechanics for readers with diverse backgrounds in engineering, laptop technological know-how, arithmetic, and physics.
The writer streamlines a finished figuring out 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 power; and constitutive equations
Electromagnetic box idea 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 e-book 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 additional study.
Extensively class-tested to make sure an available presentation, An advent to Mathematical Modeling is a superb e-book for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The publication additionally serves as a beneficial reference for execs operating within the parts of modeling and simulation, physics, and computational engineering.