A modern approach to mathematical modeling, featuring unique
applications from the field of mechanics
An Introduction to Mathematical Modeling: A Course in Mechanics
is designed to survey the mathematical models that form the
foundations of modern science and incorporates examples that
illustrate how the most successful models arise from basic
principles in modern and classical mathematical physics. Written by
a world authority on mathematical theory and computational
mechanics, the book presents an account of continuum mechanics,
electromagnetic field theory, quantum mechanics, and statistical
mechanics for readers with varied backgrounds in engineering,
computer science, mathematics, and physics.
The author streamlines a comprehensive understanding of the
topic in three clearly organized sections:
Nonlinear Continuum Mechanics introduces kinematics as well as
force and stress in deformable bodies; mass and momentum; balance
of linear and angular momentum; conservation of energy; and
constitutive equations
Electromagnetic Field Theory and Quantum Mechanics contains a
brief account of electromagnetic wave theory and Maxwell's
equations as well as an introductory account of quantum mechanics
with related topics including ab initio methods and Spin and
Pauli's principles
Statistical Mechanics presents an introduction to statistical
mechanics of systems in thermodynamic equilibrium as well as
continuum mechanics, quantum mechanics, and molecular dynamics
Each part of the book concludes with exercise sets that allow
readers to test their understanding of the presented material. Key
theorems and fundamental equations are highlighted throughout, and
an extensive bibliography outlines resources for further study.
Extensively class-tested to ensure an accessible presentation,
An Introduction to Mathematical Modeling is an excellent book for
courses on introductory mathematical modeling and statistical
mechanics at the upper-undergraduate and graduate levels. The book
also serves as a valuable reference for professionals working in
the areas of modeling and simulation, physics, and computational
engineering.
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