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Fourier Analysis and Its Applications

2009 Fourier analysis
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Release : 2009
Genre : Fourier analysis
Kind : eBook
Book Rating : 902/5 ( reviews)

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Book Synopsis Fourier Analysis and Its Applications by : G. B. Folland

Download or read book Fourier Analysis and Its Applications written by G. B. Folland. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fourier Analysis and Its Applications

2006-04-18 Mathematics
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Release : 2006-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 231/5 ( reviews)

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Book Synopsis Fourier Analysis and Its Applications by : Anders Vretblad

Download or read book Fourier Analysis and Its Applications written by Anders Vretblad. This book was released on 2006-04-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on the Fourier Transform and Its Applications

2019-01-18 Fourier transformations
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Release : 2019-01-18
Genre : Fourier transformations
Kind : eBook
Book Rating : 918/5 ( reviews)

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Book Synopsis Lectures on the Fourier Transform and Its Applications by : Brad G. Osgood

Download or read book Lectures on the Fourier Transform and Its Applications written by Brad G. Osgood. This book was released on 2019-01-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Real Analysis and Applications

2021-10-25 Mathematics
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Release : 2021-10-25
Genre : Mathematics
Kind : eBook
Book Rating : 019/5 ( reviews)

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Book Synopsis Real Analysis and Applications by : Frank Morgan

Download or read book Real Analysis and Applications written by Frank Morgan. This book was released on 2021-10-25. Available in PDF, EPUB and Kindle. Book excerpt: Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]." The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester. Frank Morgan is the author of six books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this applied version of his Real Analysis text, Morgan brings his famous direct style to the growing numbers of potential mathematics majors who want to see applications right along with the theory.

The Fourier Transform and Its Applications

1978 Fourier transformations
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Release : 1978
Genre : Fourier transformations
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell

Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt:

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