A Student S Guide To Fourier Transforms

Author : John Francis James
Publisher : Cambridge University Press
Page : 156 pages
File Size : 46,5 Mb
Release : 2002-09-19
Category : Mathematics
ISBN : 0521004284

Get Book

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 : J. F. James
Publisher : Cambridge University Press
Page : 161 pages
File Size : 55,9 Mb
Release : 2011-03-31
Category : Science
ISBN : 9781139493949

Get Book

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.

Author : John Francis James
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:797800073

Get Book

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

Author : John Francis James (Physicien)
Publisher : Unknown
Page : 131 pages
File Size : 49,5 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:633154243

Get Book

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

Author : Daniel Fleisch
Publisher : Cambridge University Press
Page : 221 pages
File Size : 55,8 Mb
Release : 2022-01-13
Category : Mathematics
ISBN : 9781009098496

Get Book

A Student's Guide to Laplace Transforms by Daniel Fleisch Pdf

Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Author : Ian Naismith Sneddon
Publisher : Courier Corporation
Page : 564 pages
File Size : 50,7 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0486685225

Get Book

Fourier Transforms by Ian Naismith Sneddon Pdf

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.

Author : Daniel Fleisch,Laura Kinnaman
Publisher : Cambridge University Press
Page : 231 pages
File Size : 52,5 Mb
Release : 2015-04-09
Category : Science
ISBN : 9781107054868

Get Book

A Student's Guide to Waves by Daniel Fleisch,Laura Kinnaman Pdf

Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

Author : Bernhard W. Bach, Jr.
Publisher : Cambridge University Press
Page : 201 pages
File Size : 42,6 Mb
Release : 2018-05-17
Category : Mathematics
ISBN : 9781107059825

Get Book

A Student's Guide to Infinite Series and Sequences by Bernhard W. Bach, Jr. Pdf

An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.

Author : Daniel A. Fleisch
Publisher : Cambridge University Press
Page : 237 pages
File Size : 43,6 Mb
Release : 2020-02-20
Category : Mathematics
ISBN : 9781108834735

Get Book

A Student's Guide to the Schrödinger Equation by Daniel A. Fleisch Pdf

A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.

Author : Robert S. Strichartz
Publisher : World Scientific
Page : 238 pages
File Size : 52,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9812384308

Get Book

A Guide to Distribution Theory and Fourier Transforms by Robert S. Strichartz Pdf

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

Author : Robert Bell
Publisher : Elsevier
Page : 401 pages
File Size : 40,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323152105

Get Book

Introductory Fourier Transform Spectroscopy by Robert Bell Pdf

Introductory Fourier Transform Spectroscopy discusses the subject of Fourier transform spectroscopy from a level that requires knowledge of only introductory optics and mathematics. The subject is approached through optical principles, not through abstract mathematics. The book approaches the subject matter in two ways. The first is through simple optics and physical intuition, and the second is through Fourier analysis and the concepts of convolution and autocorrelation. This dual treatment bridges the gap between the introductory material in the book and the advanced material in the journals. The book also discusses information theory, Fourier analysis, and mathematical theorems to complete derivations or to give alternate views of an individual subject. The text presents the development of optical theory and equations to the extent required by the advanced student or researcher. The book is intended as a guide for students taking advanced research programs in spectroscopy. Material is included for the physicists, chemists, astronomers, and others who are interested in spectroscopy.

Author : Anonim
Publisher : Cambridge University Press
Page : 468 pages
File Size : 41,7 Mb
Release : 2003-08-07
Category : Mathematics
ISBN : 0521534410

Get Book

Fourier and Laplace Transforms by Anonim Pdf

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.

Author : Don S. Lemons
Publisher : Cambridge University Press
Page : 115 pages
File Size : 54,8 Mb
Release : 2017-03-16
Category : Science
ISBN : 9781107161153

Get Book

A Student's Guide to Dimensional Analysis by Don S. Lemons Pdf

This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.

Author : James
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 1107645506

Get Book

A Students Guide To Fourier Transforms: With Applications In Physics And Engineering - 3rd Edition by James Pdf

Author : William L. Briggs,Van Emden Henson
Publisher : SIAM
Page : 446 pages
File Size : 51,6 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 9780898713428

Get Book

The DFT by William L. Briggs,Van Emden Henson Pdf

This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.