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Integral Transformations, Operational Calculus, and Generalized Functions

Name: Integral Transformations, Operational Calculus, and Generalized Functions
Brand: Springer-Verlag New York Inc.
SKU: 02643464
Price: 53.79 EUR
Availability: InStock
Author: R.G. Buschman
ISBN: 9781461285489

R.G. Buschman

Language

English

Book Paperback

Libristo code: 02643464

Publishers Springer-Verlag New York Inc., November 2013

Various related ideas are explored in this introductory survey, but no topic is treated thoroughly,... Full description

Libristo code: 02643464

132 b

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Various related ideas are explored in this introductory survey, but no topic is treated thoroughly, since monographs are available on each topic separately. The Laplace transformation serves as a model for the developments of the operational properties of several other transformations. Further, it provides a connection to the Mikusinski calculus and generalized functions. The development of the Fourier transformation is followed by a different treatment of generalized functions (distributions). These introductions to generalized functions parallel the constructive approaches to the rational and real number systems. There are more examples than proofs, including applications in which the computations do not overwhelm the ideas. A calculus background and a scattering of other mathematical ideas is needed for self study. Deeper or lengthier problems are inserted along with simpler exercises. Several short tables of useful transform pairs are included. §Audience: Upper level undergraduates and beginning graduate students in mathematics, physics and engineering.