Contents:
See if you have enough points for this item. Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time.
Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field. Introduction to Vector and Tensor Analysis. An Introduction to Linear Algebra and Tensors.
Topology and Geometry for Physicists. From Financial Crisis to Stagnation. Mathematical Methods for Physics and Engineering.
The Variational Principles of Mechanics. Mathematical Foundations of Quantum Mechanics.
Mathematical Foundations of Quantum Statistics. An Introduction to Partial Differential Equations. First Steps in Differential Geometry. Mathematical Foundations of Statistical Mechanics. Causality and Chance in Modern Physics.
The Theory of Spinors. Foundations of Statistical Mechanics.
Stochastic Processes in Physics and Chemistry. Applied Solutions for Engineers. Methods of Applied Mathematics. Relativity, Symmetry and the Structure of the Quantum Theory. Applications of Group Theory in Quantum Mechanics. Mathematical Aspects of Quantum Field Theory.
Geometrical Properties of Differential Equations. Matrix Operations for Engineers and Scientists. A Course in Modern Mathematical Physics. Fatigue Design of Marine Structures. Statistical Thermodynamics and Stochastic Kinetics. Computational Fluid Dynamics for Engineers. Fundamentals of Fluid Power Control. An Introduction to Continuum Mechanics.
Continuum Mechanics and Thermodynamics of Matter. Unlike other works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. By doing so, this book clarifies physical interpretations of concepts and fields by emphasising their microscopic origin and sensitivity to scale. Murdoch expertly applies these concepts to theories of mixtures, generalised continua and fluid flow through porous media.
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