Introductory Laplace Transform with Applications

Nonfiction, Science & Nature, Mathematics
Cover of the book Introductory Laplace Transform with Applications by Dalpatadu, Singh, Trafford Publishing
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Author: Dalpatadu, Singh ISBN: 9781490760698
Publisher: Trafford Publishing Publication: July 17, 2015
Imprint: Trafford Publishing Language: English
Author: Dalpatadu, Singh
ISBN: 9781490760698
Publisher: Trafford Publishing
Publication: July 17, 2015
Imprint: Trafford Publishing
Language: English

One of the first applications of the modern Laplace transform was by Bateman in 1910 who used it to transform Rutherfords equations in his work on radioactive decay. The modeling of complex engineering and physical problems by linear differential equations has made the Laplace transform an indispensable mathematical tool for engineers and scientists. The method of Laplace transform for solving linear differential equations is very popular in the disciplines of electrical engineering, environmental engineering, hydrology, and petroleum engineering. This book presents some applications of Laplace transforms in these disciplines. Algorithms for the numerical inversion of Laplace transform are given, and a computer program in R for the Stehfest algorithm is included.

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One of the first applications of the modern Laplace transform was by Bateman in 1910 who used it to transform Rutherfords equations in his work on radioactive decay. The modeling of complex engineering and physical problems by linear differential equations has made the Laplace transform an indispensable mathematical tool for engineers and scientists. The method of Laplace transform for solving linear differential equations is very popular in the disciplines of electrical engineering, environmental engineering, hydrology, and petroleum engineering. This book presents some applications of Laplace transforms in these disciplines. Algorithms for the numerical inversion of Laplace transform are given, and a computer program in R for the Stehfest algorithm is included.

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