Maximum and Minimum Principles by M J Sewell
In many problems of applied mathematics, science, engineering or economics, an energy expenditure or its analogue can be approximated by upper and lower bounds. This book provides a unified account of the theory required to establish such bounds, by expressing the governing conditions of the problem, and the bounds, in terms of a saddle functional and its gradients. There are several features, including a chapter on the Legendre dual transformation and some of its singularities. Many substantial examples and exercises are included, especially from the mechanics of fluids, elastic and plastic solids and from optimisation theory. The saddle functional viewpoint gives the book a wide scope. The treatment is straightforward, the only prerequisite being a basic knowledge of the calculus of variations. Part of the book is based on final-year undergraduate courses. This is developed into an account which will interest a wide range of students and professionals in applied mathematics, engineering, physics and operations research.-
Numerical Linear Algebra
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Microhydrodynamics, Brownian Motion, and Complex Fluids
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Perturbation Methods
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Viscous Flow
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Solitons
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A First Course in Continuum Mechanics
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Symmetry Methods for Differential Equations
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Introduction to Magnetohydrodynamics
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A First Course in the Numerical Analysis of Differential Equations
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A Physical Introduction to Suspension Dynamics
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Complex Variables
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Nonlinear Systems
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Stability, Instability and Chaos
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Mathematical Models in the Applied Sciences
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Introduction to Symmetry Analysis Paperback with CD-ROM
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Complex Variables South Asian Edition
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An Introduction to Stochastic Dynamics
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Singularities: Formation, Structure, and Propagation
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Stochastic Modelling of ReactionDiffusion Processes
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Think Before You Compute
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Introduction to Hydrodynamic Stability
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Rarefied Gas Dynamics
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Geometric and Topological Inference
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Discrete Systems and Integrability
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An Introduction to Polynomial and Semi-Algebraic Optimization
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The Mathematics of Signal Processing
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Iterative Methods in Combinatorial Optimization
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Infinite-Dimensional Dynamical Systems
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High Speed Flow
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Theory of Vortex Sound
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Nonlinear Wave Processes in Acoustics
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The Thermomechanics of Plasticity and Fracture
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Backlund and Darboux Transformations
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Boundary Integral and Singularity Methods for Linearized Viscous Flow
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Flow, Deformation and Fracture
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An Introduction to Parallel and Vector Scientific Computation
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The Kinematics of Mixing
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Thinking about Ordinary Differential Equations
| SKU | Unavailable |
| ISBN 13 | 9780521348768 |
| ISBN 10 | 0521348765 |
| Title | Maximum and Minimum Principles |
| Author | M J Sewell |
| Series | Cambridge Texts In Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1987-12-17 |
| Number of pages | 488 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |