Integral Transforms in Science and Engineering by K Wolf
Integral transforms are among the main mathematical methods for the solution of equations describing physical systems, because, quite generally, the coupling between the elements which constitute such a system-these can be the mass points in a finite spring lattice or the continuum of a diffusive or elastic medium-prevents a straightforward single-particle solution. By describing the same system in an appropriate reference frame, one can often bring about a mathematical uncoupling of the equations in such a way that the solution becomes that of noninteracting constituents. The tilt in the reference frame is a finite or integral transform, according to whether the system has a finite or infinite number of elements. The types of coupling which yield to the integral transform method include diffusive and elastic interactions in classical systems as well as the more common quantum-mechanical potentials. The purpose of this volume is to present an orderly exposition of the theory and some of the applications of the finite and integral transforms associated with the names of Fourier, Bessel, Laplace, Hankel, Gauss, Bargmann, and several others in the same vein. The volume is divided into four parts dealing, respectively, with finite, series, integral, and canonical transforms. They are intended to serve as independent units. The reader is assumed to have greater mathematical sophistication in the later parts, though.-
Problems and Methods of Optimal Structural Design
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Principles of Optimal Control Theory
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Multicriteria Optimization in Engineering and in the Sciences
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Real and Functional Analysis
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Optimal Control of Distributed Nuclear Reactors
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Structural Optimization
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Control, Identification, and Input Optimization
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Applied Optimal Control Theory of Distributed Systems
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Multicriteria Decision Making and Differential Games
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Unified Plasticity for Engineering Applications
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Nonlinear Effects in Fluids and Solids
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Constrained Optimization and Image Space Analysis
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Advanced Design Problems in Aerospace Engineering
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Principles and Procedures of Numerical Analysis
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Principles of Engineering Mechanics
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Optimal Control Applications in Electric Power Systems
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Applications of Functional Analysis in Engineering
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Mathematical Principles of Mechanics and Electromagnetism
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Applied Mathematics in Aerospace Science and Engineering
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Theory and Applications of Partial Differential Equations
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Solution Methods for Integral Equations
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Applied Probability
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Introduction to the Laplace Transform
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The Calculus of Variations and Optimal Control
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Numerical Solution of Integral Equations
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Mathematical Logic
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Dynamical Systems and Evolution Equations
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Advances in Geometric Programming
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Differential Equations with Small Parameters and Relaxation Oscillations
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Topology and Maps
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Dynamic Optimization and Mathematical Economics
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Applied Mathematics
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Numerical Derivatives and Nonlinear Analysis
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Optimal Long-Term Operation of Electric Power Systems
| SKU | Unavailable |
| ISBN 13 | 9781475708745 |
| ISBN 10 | 1475708742 |
| Title | Integral Transforms in Science and Engineering |
| Author | K Wolf |
| Series | Mathematical Concepts And Methods In Science And Engineering |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2013-09-10 |
| Number of pages | 489 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |