Introductory Laplace Transform With Applications
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Introductory Laplace Transform With Applications
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Author : Dalpatadu
language : en
Publisher: Trafford Publishing
Release Date : 2015-07-17
Introductory Laplace Transform With Applications written by Dalpatadu and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-17 with Mathematics categories.
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.
An Introduction To The Laplace Transformation
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Author : John Conrad Jaeger
language : en
Publisher:
Release Date : 1969
An Introduction To The Laplace Transformation written by John Conrad Jaeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Integral transforms categories.
An Introduction To The Laplace Transformations
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Author : John Conrad Jaeger
language : en
Publisher:
Release Date : 1959
An Introduction To The Laplace Transformations written by John Conrad Jaeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Laplace transformation categories.
Introduction To The Laplace Transform
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Author : Peter K.F. Kuhfittig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Introduction To The Laplace Transform written by Peter K.F. Kuhfittig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The purpose of this book is to give an introduction to the Laplace transform on the undergraduate level. The material is drawn from notes for a course taught by the author at the Milwaukee School of Engineering. Based on classroom experience, an attempt has been made to (1) keep the proofs short, (2) introduce applications as soon as possible, (3) concentrate on problems that are difficult to handle by the older classical methods, and (4) emphasize periodic phenomena. To make it possible to offer the course early in the curriculum (after differential equations), no knowledge of complex variable theory is assumed. However, since a thorough study of Laplace. transforms requires at least the rudiments of this theory, Chapter 3 includes a brief sketch of complex variables, with many of the details presented in Appendix A. This plan permits an introduction of the complex inversion formula, followed by additional applications. The author has found that a course taught three hours a week for a quarter can be based on the material in Chapters 1, 2, and 5 and the first three sections of Chapter 7. If additional time is available (e.g., four quarter-hours or three semester-hours), the whole book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms.
Introduction To The Theory And Application Of The Laplace Transformation
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Author : G. Doetsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To The Theory And Application Of The Laplace Transformation written by G. Doetsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom inating idea of all subsequent considerations.
Introduction To The Theory And Application Of The Laplace Transformation
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Author : Gustav Doetsch
language : en
Publisher: Springer
Release Date : 1974
Introduction To The Theory And Application Of The Laplace Transformation written by Gustav Doetsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Laplace transformation categories.
In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom inating idea of all subsequent considerations.
Introduction To The Theory And Application Of The Laplace Transformation
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Author : Gustav Doetsch
language : en
Publisher: Springer Verlag
Release Date : 1974-01-01
Introduction To The Theory And Application Of The Laplace Transformation written by Gustav Doetsch and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Laplace Transforms And An Introduction To Distributions
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Author : Paul B. Guest
language : en
Publisher:
Release Date : 1991
Laplace Transforms And An Introduction To Distributions written by Paul B. Guest and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Laplace transformation categories.
An Introduction To Laplace Transforms And Fourier Series
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Author : P.P.G. Dyke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Laplace Transforms And Fourier Series written by P.P.G. Dyke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
An Introduction To The Laplace Transformation
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Author : John C. Jaeger
language : en
Publisher:
Release Date : 1966
An Introduction To The Laplace Transformation written by John C. Jaeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.