Integral Transforms in Science and Engineering (Mathematical Concepts and Methods in Science and Engineering, Band 11) - Softcover

Wolf, K.

 
9781475708745: Integral Transforms in Science and Engineering (Mathematical Concepts and Methods in Science and Engineering, Band 11)
Softcover
ISBN 10: 1475708742 ISBN 13: 9781475708745
Verlag: Springer, 2013

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
1475708742
ISBN 13 
9781475708745
Einband
Taschenbuch
Anzahl der Seiten
504
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Weitere beliebte Ausgaben desselben Titels

9780306392511: Integral Transforms in Science and Engineering (Mathematical Concepts and Methods in Science and Engineering, Band 11)

Vorgestellte Ausgabe

ISBN 10:  0306392518 ISBN 13:  9780306392511
Verlag: Kluwer Academic / Plenum Publishers, 1979
Hardcover