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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: 27.84 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 500
View: 6045

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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.

Differential Equations With Symbolic Computation

Differential Equations with Symbolic Computation PDF
Author: Dongming Wang
Publisher: Springer Science & Business Media
ISBN: 9783764373689
Size: 33.64 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 374
View: 5198

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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.

Complex Variables And The Laplace Transform For Engineers

Complex Variables and the Laplace Transform for Engineers PDF
Author: Wilbur R. LePage
Publisher: Courier Corporation
ISBN: 0486136442
Size: 72.17 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 512
View: 404

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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.

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: 64.13 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 252
View: 4107

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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.

Introduction To Hyperfunctions And Their Integral Transforms

Introduction to Hyperfunctions and Their Integral Transforms PDF
Author: Urs Graf
Publisher: Springer Science & Business Media
ISBN: 3034604076
Size: 74.99 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 432
View: 1963

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This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many concrete examples.

Signals And Systems

Signals and Systems PDF
Author: Oktay Alkin
Publisher: CRC Press
ISBN: 1466598530
Size: 17.60 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 1122
View: 370

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Drawing on the author’s 25+ years of teaching experience, Signals and Systems: A MATLAB® Integrated Approach presents a novel and comprehensive approach to understanding signals and systems theory. Many texts use MATLAB® as a computational tool, but Alkin’s text employs MATLAB both computationally and pedagogically to provide interactive, visual reinforcement of the fundamentals, including the characteristics of signals, operations used on signals, time and frequency domain analyses of systems, continuous-time and discrete-time signals and systems, and more. In addition to 350 traditional end-of-chapter problems and 287 solved examples, the book includes hands-on MATLAB modules consisting of: 101 solved MATLAB examples, working in tandem with the contents of the text itself 98 MATLAB homework problems (coordinated with the 350 traditional end-of-chapter problems) 93 GUI-based MATLAB demo programs that animate key figures and bring core concepts to life 23 MATLAB projects, more involved than the homework problems (used by instructors in building assignments) 11 sections of standalone MATLAB exercises that increase MATLAB proficiency and enforce good coding practices Each module or application is linked to a specific segment of the text to ensure seamless integration between learning and doing. A solutions manual, all relevant MATLAB code, figures, presentation slides, and other ancillary materials are available on an author-supported website or with qualifying course adoption. By involving students directly in the process of visualization, Signals and Systems: A MATLAB® Integrated Approach affords a more interactive—thus more effective—solution for a one- or two-semester course on signals and systems at the junior or senior level.

Digital Signal Processing In Power System Protection And Control

Digital Signal Processing in Power System Protection and Control PDF
Author: Waldemar Rebizant
Publisher: Springer Science & Business Media
ISBN: 9780857298027
Size: 60.70 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : en
Pages : 316
View: 5126

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Digital Signal Processing in Power System Protection and Control bridges the gap between the theory of protection and control and the practical applications of protection equipment. Understanding how protection functions is crucial not only for equipment developers and manufacturers, but also for their users who need to install, set and operate the protection devices in an appropriate manner. After introductory chapters related to protection technology and functions, Digital Signal Processing in Power System Protection and Control presents the digital algorithms for signal filtering, followed by measurement algorithms of the most commonly-used protection criteria values and decision-making methods in protective relays. A large part of the book is devoted to the basic theory and applications of artificial intelligence techniques for protection and control. Fuzzy logic based schemes, artificial neural networks, expert systems and genetic algorithms with their advantages and drawbacks are discussed. AI techniques are compared and it is also shown how they can be combined to eliminate the disadvantages and magnify the useful features of particular techniques. The information provided in Digital Signal Processing in Power System Protection and Control can be useful for protection engineers working in utilities at various levels of the electricity network, as well as for students of electrical engineering, especially electrical power engineering. It may also be helpful for other readers who want to get acquainted with and to apply the filtering, measuring and decision-making algorithms for purposes other than protection and control, everywhere fast and on-line signal analysis is needed for proper functioning of the apparatus.

Closed Form Solutions For Drug Transport Through Controlled Release Devices In Two And Three Dimensions

Closed form Solutions for Drug Transport through Controlled Release Devices in Two and Three Dimensions PDF
Author: Laurent Simon
Publisher: John Wiley & Sons
ISBN: 1119055946
Size: 45.21 MB
Format: PDF, Mobi
Category : Technology & Engineering
Languages : en
Pages : 304
View: 1920

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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

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: 19.10 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 656
View: 2840

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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: 17.23 MB
Format: PDF, Docs
Category : Technology & Engineering
Languages : en
Pages : 552
View: 1799

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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.

Handbook Of Digital Forensics Of Multimedia Data And Devices Enhanced E Book

Handbook of Digital Forensics of Multimedia Data and Devices  Enhanced E Book PDF
Author: Anthony T. S. Ho
Publisher: John Wiley & Sons
ISBN: 1118757076
Size: 57.40 MB
Format: PDF
Category : Technology & Engineering
Languages : en
Pages : 704
View: 1498

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Digital forensics and multimedia forensics are rapidly growing disciplines whereby electronic information is extracted and interpreted for use in a court of law. These two fields are finding increasing importance in law enforcement and the investigation of cybercrime as the ubiquity of personal computing and the internet becomes ever-more apparent. Digital forensics involves investigating computer systems and digital artefacts in general, while multimedia forensics is a sub-topic of digital forensics focusing on evidence extracted from both normal computer systems and special multimedia devices, such as digital cameras. This book focuses on the interface between digital forensics and multimedia forensics, bringing two closely related fields of forensic expertise together to identify and understand the current state-of-the-art in digital forensic investigation. Both fields are expertly attended to by contributions from researchers and forensic practitioners specializing in diverse topics such as forensic authentication, forensic triage, forensic photogrammetry, biometric forensics, multimedia device identification, and image forgery detection among many others. Key features: Brings digital and multimedia forensics together with contributions from academia, law enforcement, and the digital forensics industry for extensive coverage of all the major aspects of digital forensics of multimedia data and devices Provides comprehensive and authoritative coverage of digital forensics of multimedia data and devices Offers not only explanations of techniques but also real-world and simulated case studies to illustrate how digital and multimedia forensics techniques work Includes a companion website hosting continually updated supplementary materials ranging from extended and updated coverage of standards to best practice guides, test datasets and more case studies

An Introduction To Laplace Transforms And Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF
Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
ISBN: 1447105052
Size: 54.32 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 250
View: 3384

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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.

Job Scheduling Strategies For Parallel Processing

Job Scheduling Strategies for Parallel Processing PDF
Author: Eitan Frachtenberg
Publisher: Springer Science & Business Media
ISBN: 3642165044
Size: 18.18 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 223
View: 5723

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This book constitutes the revised papers of the 15th International Workshop on Job Scheduling Strategies for Parallel Processing, JSSPP 2010, which was held in Atlanta, GA, USA, in April 2010. The 12 revised papers presented were carefully reviewed and selected from 18 submissions. The papers show a prolific growth in the areas of applicability for parallel scheduling and discuss more recent problems and applications, such as virtualized environments, many-core processors, DNA sequencing, and hadoop.

Numerical And Symbolic Computations Of Generalized Inverses

Numerical And Symbolic Computations Of Generalized Inverses PDF
Author: Yimin Wei
Publisher: World Scientific
ISBN: 9813238682
Size: 36.28 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 472
View: 960

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We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.

The Laplace Transform

The Laplace Transform PDF
Author: Joel L. Schiff
Publisher: Springer Science & Business Media
ISBN: 0387227571
Size: 63.93 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 236
View: 7643

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The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + · · · + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6)? Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation.

Methods Of Applied Mathematics For Engineers And Scientists

Methods of Applied Mathematics for Engineers and Scientists PDF
Author: Tomas B. Co
Publisher: Cambridge University Press
ISBN: 1107244463
Size: 21.92 MB
Format: PDF, Docs
Category : Technology & Engineering
Languages : en
Pages :
View: 3352

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Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis, DAEs, high-order finite-difference formulas, Delaunay meshes, and others. MATLAB® implementations of the methods and concepts are fully integrated.