An Introduction To The Laplace Transform And The Z Transform
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An Introduction To The Laplace Transform And The Z Transform
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Author : Anthony C. Grove
language : en
Publisher:
Release Date : 1991
An Introduction To The Laplace Transform And The Z Transform written by Anthony C. Grove and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Lecture Notes On Z Transform
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Author : Refaat El Attar
language : en
Publisher: Lulu.com
Release Date : 2006-07-01
Lecture Notes On Z Transform written by Refaat El Attar and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Technology & Engineering categories.
Z-Transform is one of several transforms that are essential ? mathematical tools used in engineering and applied sciences. This ? short edition of this note is written to provide an introduction to the ? subject of Z-Transform. The material presented in this note can be ? covered in four to five 2-hour classroom lectures. Basic knowledge of ? calculus is needed. The note is not intended as a substitute for a text ? book on the subject. It is intended to help readers and students in ? engineering, mathematics and applied sciences understand the basic properties of Z-? Transform and some of the methods and techniques based on this ? transform to solve some engineering and science problems.? I have collected many examples and problems on the subject ? that might help the reader getting on-hand experience with the ? techniques presented in this note.?
Fourier And Laplace Transforms
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Author :
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07
Fourier And Laplace Transforms written by and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.
This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
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 first version 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.
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.
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 Integral Transforms
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Author : Baidyanath Patra
language : en
Publisher: CRC Press
Release Date : 2018-02-13
An Introduction To Integral Transforms written by Baidyanath Patra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Mathematics categories.
'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced level for convenience of its readers. Pre‐requisite for understanding the subject matter of the book is some knowledge on the complex variable techniques. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
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.
Z Transform Theory And Applications
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Author : Robert Vich
language : en
Publisher: Springer
Release Date : 1987-06-30
Z Transform Theory And Applications written by Robert Vich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-06-30 with Mathematics categories.
An Introduction To Complex Analysis And The Laplace Transform
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Author : Vladimir Eiderman
language : en
Publisher: CRC Press
Release Date : 2021-12-20
An Introduction To Complex Analysis And The Laplace Transform written by Vladimir Eiderman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-20 with Mathematics categories.
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.