Applied Laplace Transforms And Z Transforms For Scientists And Engineers

Author : Urs Graf
Publisher : Birkhäuser
Page : 501 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878463

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Applied Laplace Transforms and z-Transforms for Scientists and Engineers by Urs Graf Pdf

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.

Author : Alexander Apelblat
Publisher : Unknown
Page : 0 pages
File Size : 49,7 Mb
Release : 2012
Category : Laplace transformation
ISBN : 1614708932

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Laplace Transforms and Their Applications by Alexander Apelblat Pdf

There is a lot of literature devoted to operational calculus, which includes the analysis of properties and rules of integral transformations and illustrates their usefulness in different fields of applied mathematics, engineering and natural sciences. The integral transform technique is one of most useful tools of applied mathematics employed in many branches of science and engineering. Typical applications include the design and analysis of transient and steady-state configurations of linear systems in electrical, mechanical and control engineering, and heat transfer, diffusion, waves, vibrations and fluid motion problems. The Laplace transformation receives special attention in literature because of its importance in various applications and therefore is considered as a standard technique in solving linear differential equations. For this reason, this book is centered on the Laplace transformation. (Imprint: Nova)

Author : Anonim
Publisher : Cambridge University Press
Page : 468 pages
File Size : 53,8 Mb
Release : 2003-08-07
Category : Mathematics
ISBN : 0521534410

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Fourier and Laplace Transforms by Anonim Pdf

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.

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 567 pages
File Size : 47,9 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781420089325

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Transforms and Applications Primer for Engineers with Examples and MATLAB® by Alexander D. Poularikas Pdf

Transforms and Applications Primer for Engineers with Examples and MATLAB® is required reading for engineering and science students, professionals, and anyone working on problems involving transforms. This invaluable primer contains the most essential integral transforms that both practicing engineers and students need to understand. It provides a large number of examples to explain the use of transforms in different areas, including circuit analysis, differential equations, signals and systems, and mechanical vibrations. Includes an appendix with suggestions and explanations to help you optimize your use of MATLAB Laplace and Fourier transforms are by far the most widely used and most useful of all integral transforms, so they are given a more extensive treatment in this book, compared to other texts that include them. Offering numerous MATLAB functions created by the author, this comprehensive book contains several appendices to complement the main subjects. Perhaps the most important feature is the extensive tables of transforms, which are provided to supplement the learning process. This book presents advanced material in a format that makes it easier to understand, further enhancing its immense value as a teaching tool for engineers and research scientists in academia and industry, as well as students in science and engineering.

Author : Anonim
Publisher : Unknown
Page : 447 pages
File Size : 40,7 Mb
Release : 2003
Category : Electronic books
ISBN : 0511670575

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Fourier and Laplace Transforms by Anonim Pdf

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.

Author : Refaat El Attar
Publisher : Lulu.com
Page : 86 pages
File Size : 52,9 Mb
Release : 2006-07-01
Category : Technology & Engineering
ISBN : 9781411619791

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Lecture Notes on Z-Transform by Refaat El Attar Pdf

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.?

Author : Bruce R. Kusse,Erik A. Westwig
Publisher : Wiley-VCH
Page : 700 pages
File Size : 47,8 Mb
Release : 2006-03-10
Category : Science
ISBN : UOM:39015063643681

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Mathematical Physics by Bruce R. Kusse,Erik A. Westwig Pdf

The second, corrected edition of this well-established mathematical text again puts its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. The book covers applications in all areas of engineering and the physical science, and features numerous figures and worked-out examples throughout the text. Many end-of-chapter exercises are provides; a free solution manual is available for lecturers. The topics are organized pedagogically, in the order they will be most easily understood. From the contents: A review of Vector and Matrix Algebra Using Subscript/Summation Conventions Differential and Integral Operations on Vector and Scalar Fields Curvilinear Coordinate Systems Tensors in Orthogonal and Skewed Systems The Dirac Function Complex Variables Fourier Series Fourier and Laplace Transforms Differential Equations Solutions to Laplace's Equation Integral Equations

Author : Dongming Wang
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 55,6 Mb
Release : 2005-08-15
Category : Mathematics
ISBN : 3764373687

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Differential Equations with Symbolic Computation by Dongming Wang Pdf

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.

Author : Daniel Fleisch
Publisher : Cambridge University Press
Page : 221 pages
File Size : 48,6 Mb
Release : 2022-01-13
Category : Mathematics
ISBN : 9781009098496

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A Student's Guide to Laplace Transforms by Daniel Fleisch Pdf

Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Author : Lokenath Debnath,Dambaru Bhatta
Publisher : CRC Press
Page : 820 pages
File Size : 42,9 Mb
Release : 2014-11-07
Category : Mathematics
ISBN : 9781482223576

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Integral Transforms and Their Applications, Third Edition by Lokenath Debnath,Dambaru Bhatta Pdf

Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Author : Peter K.F. Kuhfittig
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 52,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489922014

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Introduction to the Laplace Transform by Peter K.F. Kuhfittig Pdf

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.

Author : Anthony C. Grove
Publisher : Unknown
Page : 144 pages
File Size : 48,7 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015024770987

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An Introduction to the Laplace Transform and the Z Transform by Anthony C. Grove Pdf

Author : Dalpatadu,Singh
Publisher : Trafford Publishing
Page : 185 pages
File Size : 53,7 Mb
Release : 2015-07-17
Category : Mathematics
ISBN : 9781490760698

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Introductory Laplace Transform with Applications by Dalpatadu,Singh Pdf

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.

Author : Phil Dyke
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 46,8 Mb
Release : 2014-03-24
Category : Mathematics
ISBN : 9781447163954

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An Introduction to Laplace Transforms and Fourier Series by Phil Dyke Pdf

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Author : Laurent Simon,Juan Ospina
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 54,9 Mb
Release : 2015-04-27
Category : Technology & Engineering
ISBN : 9781119055945

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Closed-form Solutions for Drug Transport through Controlled-Release Devices in Two and Three Dimensions by Laurent Simon,Juan Ospina Pdf

Provides solutions for two- and three-dimensional linear models of controlled-release systems Real-world applications are taken from used to help illustrate the methods in Cartesian, cylindrical and spherical coordinate systems Covers the modeling of drug-delivery systems and provides mathematical tools to evaluate and build controlled-release devices Includes classical and analytical techniques to solve boundary-value problems involving two- and three-dimensional partial differential equations Provides detailed examples, case studies and step-by-step analytical solutions to relevant problems using popular computational software