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D'oh! Fourier: Theory, Applications, And Derivatives

Author: Mark S Nixon

Publisher: World Scientific

Published: 2022-03-10

Total Pages: 305

ISBN-13: 1800611129

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D'oh! Fourier introduces the Fourier transform and is aimed at undergraduates in Computer Science, Mathematics, and Applied Sciences, as well as for those wishing to extend their education. Formulated around ten key points, this accessible book is light-hearted and illustrative, with many applications. The basis and deployment of the Fourier transform are covered applying real-world examples throughout inductively rather than the theoretical approach deductively.The key components of the textbook are continuous signals analysis, discrete signals analysis, image processing, applications of Fourier analysis, together with the origin and nature of the transform itself. D'oh! Fourier is reproducible via MATLAB/Octave and is supported by a comprehensive website which provides the code contained within the book.

Book Synopsis D'oh! Fourier: Theory, Applications, And Derivatives by : Mark S Nixon

Download or read book D'oh! Fourier: Theory, Applications, And Derivatives written by Mark S Nixon and published by World Scientific. This book was released on 2022-03-10 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: D'oh! Fourier introduces the Fourier transform and is aimed at undergraduates in Computer Science, Mathematics, and Applied Sciences, as well as for those wishing to extend their education. Formulated around ten key points, this accessible book is light-hearted and illustrative, with many applications. The basis and deployment of the Fourier transform are covered applying real-world examples throughout inductively rather than the theoretical approach deductively.The key components of the textbook are continuous signals analysis, discrete signals analysis, image processing, applications of Fourier analysis, together with the origin and nature of the transform itself. D'oh! Fourier is reproducible via MATLAB/Octave and is supported by a comprehensive website which provides the code contained within the book.

The Fourier Transform and Its Applications

Author: Ronald Newbold Bracewell

Publisher: McGraw-Hill Companies

Published: 1986

Total Pages: 510

ISBN-13:

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Groundwork. Convolution. Notation for some useful functions. The impulse symbol. The basic theorems. Doing transforms. The two domains. Electrical waveforms, spectra, and filters. Sampling and series. The laplace transform. Relatives of the fourier transform. Antennas. Television image formation. Convolution in statistics. Noise waveforms. Heat conduction and diffusion. The discrete fourier transform. The discrete hartley transform. The fast hartley transform. Pictorial dictionary of fourier transforms. Supplementary problems. Tables.

Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell

Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by McGraw-Hill Companies. This book was released on 1986 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwork. Convolution. Notation for some useful functions. The impulse symbol. The basic theorems. Doing transforms. The two domains. Electrical waveforms, spectra, and filters. Sampling and series. The laplace transform. Relatives of the fourier transform. Antennas. Television image formation. Convolution in statistics. Noise waveforms. Heat conduction and diffusion. The discrete fourier transform. The discrete hartley transform. The fast hartley transform. Pictorial dictionary of fourier transforms. Supplementary problems. Tables.

Distributions, Fourier Transforms And Some Of Their Applications To Physics

Author: Schucker Thomas

Publisher: World Scientific Publishing Company

Published: 1991-04-22

Total Pages: 180

ISBN-13: 9813104406

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In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

Book Synopsis Distributions, Fourier Transforms And Some Of Their Applications To Physics by : Schucker Thomas

Download or read book Distributions, Fourier Transforms And Some Of Their Applications To Physics written by Schucker Thomas and published by World Scientific Publishing Company. This book was released on 1991-04-22 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

Fourier Methods for Mathematicians, Scientists and Engineers

Author: Mark Cartwright

Publisher:

Published: 1990

Total Pages: 336

ISBN-13:

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Book Synopsis Fourier Methods for Mathematicians, Scientists and Engineers by : Mark Cartwright

Download or read book Fourier Methods for Mathematicians, Scientists and Engineers written by Mark Cartwright and published by . This book was released on 1990 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Differential Equations

Author: Igor Podlubny

Publisher: Elsevier

Published: 1998-10-27

Total Pages: 366

ISBN-13: 0080531989

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This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Book Synopsis Fractional Differential Equations by : Igor Podlubny

Download or read book Fractional Differential Equations written by Igor Podlubny and published by Elsevier. This book was released on 1998-10-27 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Fourier Analysis and Its Applications

Author:

Publisher:

Published: 1992

Total Pages: 433

ISBN-13: 9780821852088

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Book Synopsis Fourier Analysis and Its Applications by :

Download or read book Fourier Analysis and Its Applications written by and published by . This book was released on 1992 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Orthogonal Transforms

Author: Ruye Wang

Publisher: Cambridge University Press

Published: 2012-03-08

Total Pages: 591

ISBN-13: 0521516889

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A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Book Synopsis Introduction to Orthogonal Transforms by : Ruye Wang

Download or read book Introduction to Orthogonal Transforms written by Ruye Wang and published by Cambridge University Press. This book was released on 2012-03-08 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Applications of Discrete and Continuous Fourier Analysis

Author: H. Joseph Weaver

Publisher: Wiley-Interscience

Published: 1983-09

Total Pages: 398

ISBN-13:

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An applications oriented, introductory text covering the concepts and properties of Fourier Analysis. Emphasizes applications to real scientific and engineering problems. Defines the Fourier series, Fourier transform, and discrete Fourier transform. Includes over 200 illustrations.

Book Synopsis Applications of Discrete and Continuous Fourier Analysis by : H. Joseph Weaver

Download or read book Applications of Discrete and Continuous Fourier Analysis written by H. Joseph Weaver and published by Wiley-Interscience. This book was released on 1983-09 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: An applications oriented, introductory text covering the concepts and properties of Fourier Analysis. Emphasizes applications to real scientific and engineering problems. Defines the Fourier series, Fourier transform, and discrete Fourier transform. Includes over 200 illustrations.

Solutions Manual to Accompany the Fourier Transform and Its Applications

Author: Ronald Newbold Bracewell

Publisher:

Published: 1978

Total Pages: 261

ISBN-13: 9780070070141

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Book Synopsis Solutions Manual to Accompany the Fourier Transform and Its Applications by : Ronald Newbold Bracewell

Download or read book Solutions Manual to Accompany the Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mastering the Discrete Fourier Transform in One, Two or Several Dimensions

Author: Isaac Amidror

Publisher: Springer

Published: 2015-08-09

Total Pages: 0

ISBN-13: 9781447161318

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The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ‘naive’ users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.

Book Synopsis Mastering the Discrete Fourier Transform in One, Two or Several Dimensions by : Isaac Amidror

Download or read book Mastering the Discrete Fourier Transform in One, Two or Several Dimensions written by Isaac Amidror and published by Springer. This book was released on 2015-08-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ‘naive’ users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.