A Student's Guide to Fourier Transforms

Author: John Francis James
Publisher: Cambridge University Press
ISBN: 9780521004282
Category : Mathematics
Languages : en
Pages : 156

Book Description
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.

A Student's Guide to Fourier Transforms

Author: J. F. James
Publisher: Cambridge University Press
ISBN: 1139493949
Category : Science
Languages : en
Pages : 161

Book Description
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.

A Guide to Distribution Theory and Fourier Transforms

Author: Robert S. Strichartz
Publisher: World Scientific
ISBN: 9789812384300
Category : Mathematics
Languages : en
Pages : 238

Book Description
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.

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.

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.

A Student's Guide to Waves

Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1107054869
Category : Science
Languages : en
Pages : 231

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

An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 0486151794
Category : Mathematics
Languages : en
Pages : 116

Book Description
A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.

A Student's Guide to the Schrödinger Equation

Author: Daniel A. Fleisch
Publisher: Cambridge University Press
ISBN: 1108834736
Category : Mathematics
Languages : en
Pages : 237

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

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.

Fourier Transforms

Author: Eric W. Hansen
Publisher: John Wiley & Sons
ISBN: 1118901797
Category : Mathematics
Languages : en
Pages : 788

Book Description
Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Class-tested at Dartmouth Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing Modular coverage of material allows for topics to be covered by preference MATLAB files and Solutions Manual available to instructors Over 300 figures, 200 worked examples, and 432 homework problems