Handbook Of Fourier Analysis Its Applications

Author : Robert J Marks II
Publisher : Oxford University Press
Page : 800 pages
File Size : 52,8 Mb
Release : 2009-01-08
Category : Technology & Engineering
ISBN : 0198044305

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Handbook of Fourier Analysis & Its Applications by Robert J Marks II Pdf

Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a signal into its component frequencies and their amplitudes. This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processing and related multidimensional transform theory, and quantum physics to elementary deterministic finance and even the foundations of western music theory. As a definitive text on Fourier Analysis, Handbook of Fourier Analysis and Its Applications is meant to replace several less comprehensive volumes on the subject, such as Processing of Multifimensional Signals by Alexandre Smirnov, Modern Sampling Theory by John J. Benedetto and Paulo J.S.G. Ferreira, Vector Space Projections by Henry Stark and Yongyi Yang and Fourier Analysis and Imaging by Ronald N. Bracewell. In addition to being primarily used as a professional handbook, it includes sample problems and their solutions at the end of each section and thus serves as a textbook for advanced undergraduate students and beginning graduate students in courses such as: Multidimensional Signals and Systems, Signal Analysis, Introduction to Shannon Sampling and Interpolation Theory, Random Variables and Stochastic Processes, and Signals and Linear Systems.

Author : Ronald Newbold Bracewell
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 1978
Category : Fourier transformations
ISBN : OCLC:220097501

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The Fourier Transform and Its Applications by Ronald Newbold Bracewell Pdf

Author : Henry Yongsheng
Publisher : Unknown
Page : 304 pages
File Size : 55,7 Mb
Release : 2012
Category : Fourier analysis
ISBN : 8126151587

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Handbook of Fourier Analysis and Wavelets by Henry Yongsheng Pdf

Author : Brad G. Osgood
Publisher : American Mathematical Soc.
Page : 689 pages
File Size : 52,5 Mb
Release : 2019-01-18
Category : Fourier transformations
ISBN : 9781470441913

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Lectures on the Fourier Transform and Its Applications by Brad G. Osgood Pdf

This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques—all of which are important in many areas of engineering and science—the author's goal is to help engineering and science students cultivate more advanced mathematical know-how and increase confidence in learning and using mathematics, as well as appreciate the coherence of the subject. He promises the readers a little magic on every page. The section headings are all recognizable to mathematicians, but the arrangement and emphasis are directed toward students from other disciplines. The material also serves as a foundation for advanced courses in signal processing and imaging. There are over 200 problems, many of which are oriented to applications, and a number use standard software. An unusual feature for courses meant for engineers is a more detailed and accessible treatment of distributions and the generalized Fourier transform. There is also more coverage of higher-dimensional phenomena than is found in most books at this level.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 209 pages
File Size : 47,8 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9780817681289

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A Handbook of Real Variables by Steven G. Krantz Pdf

This concise, well-written handbook provides a distillation of real variable theory with a particular focus on the subject's significant applications to differential equations and Fourier analysis. Ample examples and brief explanations---with very few proofs and little axiomatic machinery---are used to highlight all the major results of real analysis, from the basics of sequences and series to the more advanced concepts of Taylor and Fourier series, Baire Category, and the Weierstrass Approximation Theorem. Replete with realistic, meaningful applications to differential equations, boundary value problems, and Fourier analysis, this unique work is a practical, hands-on manual of real analysis that is ideal for physicists, engineers, economists, and others who wish to use the fruits of real analysis but who do not necessarily have the time to appreciate all of the theory. Valuable as a comprehensive reference, a study guide for students, or a quick review, "A Handbook of Real Variables" will benefit a wide audience.

Author : Tim Olson
Publisher : Birkhäuser
Page : 302 pages
File Size : 46,5 Mb
Release : 2017-11-20
Category : Mathematics
ISBN : 9781493973934

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Applied Fourier Analysis by Tim Olson Pdf

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medi cal imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.

Author : Anonim
Publisher : Unknown
Page : 433 pages
File Size : 43,7 Mb
Release : 1992
Category : Fourier analysis
ISBN : 0821852086

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Fourier Analysis and Its Applications by Anonim Pdf

Author : John Francis James
Publisher : Cambridge University Press
Page : 156 pages
File Size : 48,6 Mb
Release : 2002-09-19
Category : Mathematics
ISBN : 0521004284

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A Student's Guide to Fourier Transforms by John Francis James Pdf

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

Author : D. C. Champeney
Publisher : Cambridge University Press
Page : 206 pages
File Size : 41,6 Mb
Release : 1989-01-27
Category : Mathematics
ISBN : 0521366887

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A Handbook of Fourier Theorems by D. C. Champeney Pdf

This book is concerned with the well-established mathematical technique known as Fourier analysis (or alternatively as harmonic or spectral analysis). It is a handbook comprising a collection of the most important theorems in Fourier analysis, presented without proof in a form that is accurate but also accessible to a reader who is not a specialist mathematician. The technique of Fourier analysis has long been of fundamental importance in the physical sciences, engineering and applied mathematics, and is today of particular importance in communications theory and signal analysis. Existing books on the subject are either rigorous treatments, intended for mathematicians, or are intended for non-mathematicians, and avoid the finer points of the theory. This book bridges the gap between the two types. The text is self-contained in that it includes examples of the use of the various theorems, and any mathematical concepts not usually included in degree courses in physical sciences and engineering are explained. This handbook will be of value to postgraduates and research workers in the physical sciences and in engineering subjects, particularly communications and electronic engineering.

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 911 pages
File Size : 50,6 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781420066531

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Transforms and Applications Handbook by Alexander D. Poularikas Pdf

Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.

Author : Ronald Newbold Bracewell
Publisher : Unknown
Page : 261 pages
File Size : 46,5 Mb
Release : 1978
Category : Fourier transformations
ISBN : 0070070148

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Solutions Manual to Accompany the Fourier Transform and Its Applications by Ronald Newbold Bracewell Pdf

Author : Anders Vretblad
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 40,6 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387217239

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Fourier Analysis and Its Applications by Anders Vretblad Pdf

A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

Author : G. B. Folland
Publisher : American Mathematical Soc.
Page : 447 pages
File Size : 55,9 Mb
Release : 2009
Category : Fourier analysis
ISBN : 9780821847909

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Fourier Analysis and Its Applications by G. B. Folland Pdf

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 1136 pages
File Size : 50,5 Mb
Release : 1996
Category : Mathematics
ISBN : STANFORD:36105018227962

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The Transforms and Applications Handbook by Alexander D. Poularikas Pdf

This handbook brings together in a single volume the most important mathematical transforms used by engineers and scientists. It begins with a treatment of the delta function and some of the classical orthogonal functions. The book covers transforms such as Fourier Transforms, Cosine and Sine Transforms, Harley Transforms, Laplace Transforms, Z-Transforms, Hilbert Transforms, Radon and Abel Transforms, Time-Frequency Transformations, Wavelet Transforms, Hankel Transforms, and Mellin Transforms. Applications and examples are included.

Author : J. F. James
Publisher : Cambridge University Press
Page : 161 pages
File Size : 50,9 Mb
Release : 2011-03-31
Category : Science
ISBN : 9781139493949

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A Student's Guide to Fourier Transforms by J. F. James Pdf

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.