Author:
Publisher: Cambridge University Press
ISBN: 9780521534413
Category : Mathematics
Languages : en
Pages : 468
Book Description
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.
Fourier and Laplace Transforms
Author:
Publisher: Cambridge University Press
ISBN: 9780521534413
Category : Mathematics
Languages : en
Pages : 468
Book Description
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.
Publisher: Cambridge University Press
ISBN: 9780521534413
Category : Mathematics
Languages : en
Pages : 468
Book Description
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.
An Introduction to Laplace Transforms and Fourier Series
Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
ISBN: 1447105052
Category : Mathematics
Languages : en
Pages : 257
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1447105052
Category : Mathematics
Languages : en
Pages : 257
Book Description
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.
Laplace & Fourier Transforms
Author: J. K. Goyal
Publisher:
ISBN: 9788175567054
Category : Fourier transformations
Languages : en
Pages : 208
Book Description
Publisher:
ISBN: 9788175567054
Category : Fourier transformations
Languages : en
Pages : 208
Book Description
Fourier Transforms
Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 9780486685229
Category : Mathematics
Languages : en
Pages : 564
Book Description
Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.
Publisher: Courier Corporation
ISBN: 9780486685229
Category : Mathematics
Languages : en
Pages : 564
Book Description
Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.
Fourier Series and Integral Transforms
Author: Allan Pinkus
Publisher: Cambridge University Press
ISBN: 9780521597715
Category : Mathematics
Languages : en
Pages : 204
Book Description
Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Publisher: Cambridge University Press
ISBN: 9780521597715
Category : Mathematics
Languages : en
Pages : 204
Book Description
Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Distribution Theory
Author: Gerrit Dijk
Publisher: Walter de Gruyter
ISBN: 3110298511
Category : Mathematics
Languages : en
Pages : 120
Book Description
The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduate level or for self-study.
Publisher: Walter de Gruyter
ISBN: 3110298511
Category : Mathematics
Languages : en
Pages : 120
Book Description
The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduate level or for self-study.
Signals & System Analysis
Author: Dr. J. S. Chitode
Publisher: Technical Publications
ISBN: 9333223584
Category : Technology & Engineering
Languages : en
Pages : 578
Book Description
The book is written for an undergraduate course on the Signals and Systems. It provides comprehensive explanation of continuous time signals and systems , analogous systems, Fourier transform, Laplace transform, state variable analysis and z-transform analysis of systems. The book starts with the various types of signals and operations on signals. It explains the classification of continuous time signals and systems. Then it includes the discussion of analogous systems. The book provides detailed discussion of Fourier transform representation, properties of Fourier transform and its applications to network analysis. The book also covers the Laplace transform, its properties and network analysis using Laplace transform with and without initial conditions. The book provides the detailed explanation of modern approach of system analysis called the state variable analysis. It includes various methods of state space representation of systems, finding the state transition matrix and solution of state equation. The discussion of network topology is also included in the book. The chapter on z-transform includes the properties of ROC, properties of z-transform, inverse z-transform, z-transform analysis of LTI systems and pulse transfer function. The state space representation of discrete systems is also incorporated in the book. The book uses plain, simple and lucid language to explain each topic. The book provides the logical method of explaining the various complicated topics and stepwise methods to make the understanding easy. The variety of solved examples is the feature of this book. The book explains the philosophy of the subject which makes the understanding of the concepts very clear and makes the subject more interesting.
Publisher: Technical Publications
ISBN: 9333223584
Category : Technology & Engineering
Languages : en
Pages : 578
Book Description
The book is written for an undergraduate course on the Signals and Systems. It provides comprehensive explanation of continuous time signals and systems , analogous systems, Fourier transform, Laplace transform, state variable analysis and z-transform analysis of systems. The book starts with the various types of signals and operations on signals. It explains the classification of continuous time signals and systems. Then it includes the discussion of analogous systems. The book provides detailed discussion of Fourier transform representation, properties of Fourier transform and its applications to network analysis. The book also covers the Laplace transform, its properties and network analysis using Laplace transform with and without initial conditions. The book provides the detailed explanation of modern approach of system analysis called the state variable analysis. It includes various methods of state space representation of systems, finding the state transition matrix and solution of state equation. The discussion of network topology is also included in the book. The chapter on z-transform includes the properties of ROC, properties of z-transform, inverse z-transform, z-transform analysis of LTI systems and pulse transfer function. The state space representation of discrete systems is also incorporated in the book. The book uses plain, simple and lucid language to explain each topic. The book provides the logical method of explaining the various complicated topics and stepwise methods to make the understanding easy. The variety of solved examples is the feature of this book. The book explains the philosophy of the subject which makes the understanding of the concepts very clear and makes the subject more interesting.
A Student's Guide to Laplace Transforms
Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1009098497
Category : Mathematics
Languages : en
Pages : 221
Book Description
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.
Publisher: Cambridge University Press
ISBN: 1009098497
Category : Mathematics
Languages : en
Pages : 221
Book Description
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.
The Fast Laplace Transform
Author: Frederick M. Tesche
Publisher: Lulu.com
ISBN: 0557847052
Category : Technology & Engineering
Languages : en
Pages : 58
Book Description
This monograph reviews the use of the Laplace transform as implemented using the fast Fourier transform. This method has been described earlier by investigators in the electrical power community, but it does not seem to be widely used in the electromagnetic compatibility area. The goal in developing this monograph is to bring this computational method to the attention of the workers in this community by providing several examples and comments on its use for practical problems.
Publisher: Lulu.com
ISBN: 0557847052
Category : Technology & Engineering
Languages : en
Pages : 58
Book Description
This monograph reviews the use of the Laplace transform as implemented using the fast Fourier transform. This method has been described earlier by investigators in the electrical power community, but it does not seem to be widely used in the electromagnetic compatibility area. The goal in developing this monograph is to bring this computational method to the attention of the workers in this community by providing several examples and comments on its use for practical problems.
Data-Driven Science and Engineering
Author: Steven L. Brunton
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615
Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLABĀ®.
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615
Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLABĀ®.