By J. Tinsley Oden
A sleek method of mathematical modeling, that includes distinct purposes from the sphere of mechanics
An creation to Mathematical Modeling: A direction in Mechanics is designed to survey the mathematical versions that shape the principles of recent technology and accommodates examples that illustrate how the main winning types come up from easy rules in glossy and classical mathematical physics. Written by means of an international authority on mathematical conception and computational mechanics, the ebook offers an account of continuum mechanics, electromagnetic box concept, quantum mechanics, and statistical mechanics for readers with diversified backgrounds in engineering, laptop technology, arithmetic, and physics.
The writer streamlines a complete figuring out of the subject in 3 sincerely prepared 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 thought and Quantum Mechanics encompasses a short account of electromagnetic wave idea and Maxwell's equations in addition to an introductory account of quantum mechanics with similar issues together with ab initio tools and Spin and Pauli's principles
Statistical Mechanics offers an creation to statistical mechanics of structures 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 knowing of the provided fabric. Key theorems and basic 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 publication for classes on introductory mathematical modeling and statistical mechanics on the upper-undergraduate and graduate degrees. The e-book additionally serves as a useful reference for pros operating within the parts of modeling and simulation, physics, and computational engineering.
Read Online or Download An Introduction to Mathematical Modeling: A Course in Mechanics (Wiley Series in Computational Mechanics) PDF
Best dynamics books
This textbook offers engineers with the aptitude, instruments and self assurance to unravel real-world warmth move difficulties. It contains many complicated subject matters, comparable to Bessel capabilities, Laplace transforms, separation of variables, Duhamel's theorem and intricate blend, in addition to excessive order specific and implicit numerical integration algorithms.
Mahir Tim Keskin beschreibt die Entwicklung eines schnellen, vorhersagefähigen Brennverlaufmodells für das Brennverfahren der kontrollierten Benzinselbstzündung. Ausgehend von einer detaillierten Messdatenanalyse zeigt der Autor, dass zur Beschreibung der Verbrennung neben der eigentlichen Selbstzündung auch eine laminar-turbulente Flammenausbreitung modelliert werden muss.
The Multiphase stream guide, moment version is a completely up to date and reorganized revision of the overdue Clayton Crowe’s paintings, and gives a close examine the fundamental options and the big variety of functions during this very important region of thermal/fluids engineering. Revised through the recent editors, Efstathios E.
During this booklet, a virtually new method of sleek thermodynamics has been utilized. a number of invaluable qualitative dialogue statements were extracted from each one equation. those and different very important statements have been numbered and their titles have been positioned in an index titled “Hilal and Others’ statements, definitions and principles.
- Unified Non-Local Theory of Transport Processes: Generalized Boltzmann Physical Kinetics
- Liquid Acquisition Devices for Advanced In-Space Cryogenic Propulsion Systems
- Creep in Ceramics (Solid Mechanics and Its Applications)
- Advances in Heat Transfer: 43
- Thermische Turbomaschinen: Thermodynamisch-strömungstechnische Berechnung (Klassiker der Technik) (German Edition)
Extra info 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