References

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Publisher

Elsevier

Reference130 articles.

1. Berg, E. J., Heaviside's operational calculus, as applied to engineering and physics, 2nd ed., New York 1936. (For historical reasons this book may be quoted as representative of the older literature, which followed closely Heaviside's treatment.)

2. Carslaw, H. S., and I. C. Jaeger, Operational methods in applied mathematics, New York 1963. (The Laplace transformation is applied here to numerous physical and engineering problems, predominantly described by partial differential equations.)

3. Ditkin, V. A., and A. P. Prudnikov, Operational calculus in two variables and its applications, Oxford London-New York Paris 1962. (Translation from Russian; the twodimensional Laplace transformation is studied without a factor, but applied with one.)

4. Ditkin, V. A., and A. P. Prudnikov, Integral transforms and operational calculus, Oxford-London-Edinburgh-New York Paris Frankfurt 1965. (Translation from Russian; a reference book on various integral transforms with many formulae, but without proof. The operational calculus is developed from the Duhamel integral as product, over roughly the same range as in this book.)

5. Doetsch, G., Introduction to the theory and application of the Laplace transformation (Einführung in Theorie und Anwendung der Laplace-Transformation), Basel and Stuttgart 1958. (The text for studying the Laplace transformation.)

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