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Applied Laplace Transforms And Z Transforms For Scientists And Engineers

Applied Laplace Transforms and z Transforms for Scientists and Engineers PDF
Author: Urs Graf
Publisher: Birkhäuser
ISBN: 303487846X
Size: 10.90 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 500
View: 7082

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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.

Integral Transforms And Their Applications

Integral Transforms and Their Applications PDF
Author: Brian Davies
Publisher: Springer Science & Business Media
ISBN: 9780387953144
Size: 58.98 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 370
View: 1239

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This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

Laplace Transformation

Laplace Transformation PDF
Author: Hubert Weber
Publisher: Springer-Verlag
ISBN: 9783519101413
Size: 11.44 MB
Format: PDF, ePub, Mobi
Category : Computer engineering
Languages : de
Pages : 202
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Bei der Laplace-Transformation wird eine Originalfunktion im reellen Zeitbereich in eine zugehörige Bildfunktion im komplexen Bildbereich transformiert. Die wichtigste Eigenschaft dieser Transformation im Hinblick auf ihre Anwendung besteht darin, dass den schwierigeren Operationen des Differenzierens und Integrierens im Originalbereich einfache algebraische Operationen im Bildbereich entsprechen. Die Laplace-Transformation wird im Sinne einer Einführung in ihrer Theorie und ihrer Anwendung dargestellt. Dabei werden Grundkenntnisse der Analysis vorausgesetzt. Die Laplace-Transformation wird, zugeschnitten auf die Aufgaben der Elektrotechniker in der Praxis, als Teil der Mathematik behandelt. Das Buch bildet zugleich eine Grundlage für weitergehende Studien.

Numerical Methods For Laplace Transform Inversion

Numerical Methods for Laplace Transform Inversion PDF
Author: Alan M. Cohen
Publisher: Springer Science & Business Media
ISBN: 0387688552
Size: 67.23 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 252
View: 4295

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This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

Mathematical Foundations For Linear Circuits And Systems In Engineering

Mathematical Foundations for Linear Circuits and Systems in Engineering PDF
Author: John J. Shynk
Publisher: John Wiley & Sons
ISBN: 1119073405
Size: 19.35 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 656
View: 5200

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Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and first-year graduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical, and computer engineers as well as applied mathematicians. John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University.

Image Processing And Pattern Recognition

Image Processing and Pattern Recognition PDF
Author: Frank Y. Shih
Publisher: John Wiley & Sons
ISBN: 9780470590409
Size: 42.45 MB
Format: PDF, Mobi
Category : Technology & Engineering
Languages : en
Pages : 552
View: 1425

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A comprehensive guide to the essential principles of image processing and pattern recognition Techniques and applications in the areas of image processing and pattern recognition are growing at an unprecedented rate. Containing the latest state-of-the-art developments in the field, Image Processing and Pattern Recognition presents clear explanations of the fundamentals as well as the most recent applications. It explains the essential principles so readers will not only be able to easily implement the algorithms and techniques, but also lead themselves to discover new problems and applications. Unlike other books on the subject, this volume presents numerous fundamental and advanced image processing algorithms and pattern recognition techniques to illustrate the framework. Scores of graphs and examples, technical assistance, and practical tools illustrate the basic principles and help simplify the problems, allowing students as well as professionals to easily grasp even complicated theories. It also features unique coverage of the most interesting developments and updated techniques, such as image watermarking, digital steganography, document processing and classification, solar image processing and event classification, 3-D Euclidean distance transformation, shortest path planning, soft morphology, recursive morphology, regulated morphology, and sweep morphology. Additional topics include enhancement and segmentation techniques, active learning, feature extraction, neural networks, and fuzzy logic. Featuring supplemental materials for instructors and students, Image Processing and Pattern Recognition is designed for undergraduate seniors and graduate students, engineering and scientific researchers, and professionals who work in signal processing, image processing, pattern recognition, information security, document processing, multimedia systems, and solar physics.

Applied Hyperfunction Theory

Applied Hyperfunction Theory PDF
Author: Isao Imai
Publisher: Springer Science & Business Media
ISBN: 9401125481
Size: 10.57 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 438
View: 5924

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Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the `boundary value of analytic functions'. An intuitive image -- hyperfunction = vortex layer -- is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained. The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material. For mathematicians, mathematical physicists and engineers whose work involves generalized functions.

International Mathematical News

International Mathematical News PDF
Author:
Publisher:
ISBN:
Size: 29.60 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages :
View: 2506

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Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.