Date of Award

1-1951

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

Abstract

If one desires to acquire a deeper knowledge of the Laplace Transformation and a thorough understanding of its essence, one will realise with surprise that there are very few books handling this topic thoroughly, with rigorous mathematical proves for every statement and a justification of the results. Most of the literature in this field in the recent years has been written by engineers and intended for practical engineering purposes. Hence, no wonder if they are not much concerned with mathematical rigor, and glorify Heaviside's Operational Calculus, taking it as the basis of their structure. Their approach of the problem consists in considering the operators as multiplicative algebraic quantities, forgetting that, when they are switched from their original domain of definition into an other domain, where the operators may be considered as algebraic multiplicative quantities.

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