An Introduction to Mathematical Modeling: A Course in by J. Tinsley Oden

By J. Tinsley Oden

A glossy method of mathematical modeling, that includes targeted functions from the sphere of mechanics

An advent to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical versions that shape the rules of recent technology and comprises examples that illustrate how the main winning versions come up from uncomplicated ideas in glossy and classical mathematical physics. Written through a global authority on mathematical thought and computational mechanics, the e-book offers an account of continuum mechanics, electromagnetic box concept, quantum mechanics, and statistical mechanics for readers with various backgrounds in engineering, computing device technology, arithmetic, and physics.

The writer streamlines a accomplished knowing of the subject in 3 basically 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 power; and constitutive equations

  • Electromagnetic box concept and Quantum Mechanics includes a short account of electromagnetic wave thought and Maxwell's equations in addition to an introductory account of quantum mechanics with similar subject matters together with ab initio equipment and Spin and Pauli's principles

  • Statistical Mechanics provides an creation to statistical mechanics of platforms 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 knowing of the awarded fabric. Key theorems and primary equations are highlighted all through, and an in depth bibliography outlines assets for additional study.

Extensively class-tested to make sure an obtainable presentation, An advent to Mathematical Modeling is a wonderful publication for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The ebook additionally serves as a useful reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.

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