A Student S Guide To Fourier Transforms
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A Student S Guide To Fourier Transforms
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Author : J. F. James
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-31
A Student S Guide To Fourier Transforms written by J. F. James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-31 with Science categories.
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 Student S Guide To Fourier Transforms
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Author : J. F. James
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-19
A Student S Guide To Fourier Transforms written by J. F. James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-19 with Mathematics categories.
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
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Author : John Francis James
language : en
Publisher:
Release Date : 1995
A Student S Guide To Fourier Transforms written by John Francis James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
A Student S Guide To Fourier Transforms
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Author : John Francis James (Physicien)
language : en
Publisher:
Release Date : 2000
A Student S Guide To Fourier Transforms written by John Francis James (Physicien) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
A Student S Guide To Laplace Transforms
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Author : Daniel Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-13
A Student S Guide To Laplace Transforms written by Daniel Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Science categories.
The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student's Guides, Professor Fleisch addresses the topics that his students have found most troublesome; providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms. Written in plain language and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every section of the book.
A Student S Guide To The Schr Dinger Equation
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Author : Daniel A. Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-20
A Student S Guide To The Schr Dinger Equation written by Daniel A. Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-20 with Mathematics categories.
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
A Student S Guide To Infinite Series And Sequences
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Author : Bernhard W. Bach, Jr.
language : en
Publisher: Cambridge University Press
Release Date : 2018-05-17
A Student S Guide To Infinite Series And Sequences written by Bernhard W. Bach, Jr. and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-17 with Mathematics categories.
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.
A Guide To Distribution Theory And Fourier Transforms
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Author : Robert S. Strichartz
language : en
Publisher: World Scientific
Release Date : 2003
A Guide To Distribution Theory And Fourier Transforms written by Robert S. Strichartz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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 Waves
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Author : Daniel Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2015-04-09
A Student S Guide To Waves written by Daniel Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-09 with Science categories.
Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.
An Introduction To Lebesgue Integration And Fourier Series
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Author : Howard J. Wilcox
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
An Introduction To Lebesgue Integration And Fourier Series written by Howard J. Wilcox and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.