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Engineering Applications Of The Laplace Transform


Engineering Applications Of The Laplace Transform
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Engineering Applications Of The Laplace Transform


Engineering Applications Of The Laplace Transform
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Author : Y.H. Gangadharaiah
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-08-25

Engineering Applications Of The Laplace Transform written by Y.H. Gangadharaiah and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-25 with Mathematics categories.


This book is devoted to one of the most critical areas of applied mathematics, namely the Laplace transform technique for linear time invariance systems arising from the fields of electrical and mechanical engineering. It focuses on introducing Laplace transformation and its operating properties, finding inverse Laplace transformation through different methods, and describing transfer function applications for mechanical and electrical networks to develop input and output relationships. It also discusses solutions of initial value problems, the state-variables approach, and the solution of boundary value problems connected with partial differential equations.



Applied Laplace Transforms And Z Transforms For Scientists And Engineers


Applied Laplace Transforms And Z Transforms For Scientists And Engineers
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Author : Urs Graf
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Applied Laplace Transforms And Z Transforms For Scientists And Engineers written by Urs Graf and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The firstversion of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.



Applied Engineering Analysis


Applied Engineering Analysis
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Author : Tai-Ran Hsu
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-30

Applied Engineering Analysis written by Tai-Ran Hsu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-30 with Technology & Engineering categories.


A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.



An Introduction To The Laplace Transformation


An Introduction To The Laplace Transformation
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Author : John Conrad Jaeger
language : en
Publisher:
Release Date : 1949

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 1949 with Laplace transformation categories.




Introduction To The Laplace Transformation


Introduction To The Laplace Transformation
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Author : John Conrad Jaeger
language : en
Publisher:
Release Date : 1946

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 1946 with Laplace transformation categories.




Complex Variables And The Laplace Transform For Engineers


Complex Variables And The Laplace Transform For Engineers
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Author : Wilbur R. LePage
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Complex Variables And The Laplace Transform For Engineers written by Wilbur R. LePage and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Technology & Engineering categories.


Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.



Laplace Transforms For Electronic Engineers


Laplace Transforms For Electronic Engineers
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Author : James G. Holbrook
language : en
Publisher: Elsevier
Release Date : 2014-05-16

Laplace Transforms For Electronic Engineers written by James G. Holbrook and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.


Laplace Transforms for Electronic Engineers, Second (Revised) Edition details the theoretical concepts and practical application of Laplace transformation in the context of electrical engineering. The title is comprised of 10 chapters that cover the whole spectrum of Laplace transform theory that includes advancement, concepts, methods, logic, and application. The book first covers the functions of a complex variable, and then proceeds to tackling the Fourier series and integral, the Laplace transformation, and the inverse Laplace transformation. The next chapter details the Laplace transform theorems. The subsequent chapters talk about the various applications of the Laplace transform theories, such as network analysis, transforms of special waveshapes and pulses, electronic filters, and other specialized applications. The text will be of great interest to electrical engineers and technicians.



The Laplace Transform


The Laplace Transform
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Author : Richard Bellman
language : en
Publisher: World Scientific
Release Date : 1984

The Laplace Transform written by Richard Bellman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.


The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation.



An Introduction To The Laplace Transformation


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 categories.




Introductory Laplace Transform With Applications


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.