A Students Guide To Fourier Transforms
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| Author | : John Francis James |
| Publisher | : Cambridge University Press |
| Total Pages | : 156 |
| Release | : 2002-09-19 |
| Genre | : Mathematics |
| ISBN | : 9780521004282 |
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 |
| Total Pages | : 161 |
| Release | : 2011-03-31 |
| Genre | : Science |
| ISBN | : 1139493949 |
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 | : Robert S. Strichartz |
| Publisher | : World Scientific |
| Total Pages | : 238 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9789812384300 |
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 | : Daniel Fleisch |
| Publisher | : Cambridge University Press |
| Total Pages | : 221 |
| Release | : 2022-01-13 |
| Genre | : Mathematics |
| ISBN | : 1009098497 |
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.
| Author | : Ronald Newbold Bracewell |
| Publisher | : |
| Total Pages | : |
| Release | : 1978 |
| Genre | : Fourier transformations |
| ISBN | : |
| Author | : Ian Naismith Sneddon |
| Publisher | : Courier Corporation |
| Total Pages | : 564 |
| Release | : 1995-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486685229 |
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 |
| Publisher | : Cambridge University Press |
| Total Pages | : 231 |
| Release | : 2015-04-09 |
| Genre | : Science |
| ISBN | : 1107054869 |
Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.
| Author | : Brad G. Osgood |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 713 |
| Release | : 2019-01-18 |
| Genre | : Mathematics |
| ISBN | : 1470441918 |
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 | : Daniel A. Fleisch |
| Publisher | : Cambridge University Press |
| Total Pages | : 237 |
| Release | : 2020-02-20 |
| Genre | : Mathematics |
| ISBN | : 1108834736 |
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
| Author | : Eric W. Hansen |
| Publisher | : John Wiley & Sons |
| Total Pages | : 788 |
| Release | : 2014-10-01 |
| Genre | : Mathematics |
| ISBN | : 1118901797 |
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
