Fourier Analysis And Its Applications PDF Download
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| Author | : Anders Vretblad |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 275 |
| Release | : 2006-04-18 |
| Genre | : Mathematics |
| ISBN | : 0387217231 |
Download Fourier Analysis and Its Applications Book in PDF, ePub and Kindle
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.
| Author | : G. B. Folland |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 447 |
| Release | : 2009 |
| Genre | : Fourier analysis |
| ISBN | : 0821847902 |
Download Fourier Analysis and Its Applications Book in PDF, ePub and Kindle
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.
| Author | : Brad G. Osgood |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 689 |
| Release | : 2019-01-18 |
| Genre | : Fourier transformations |
| ISBN | : 1470441918 |
Download Lectures on the Fourier Transform and Its Applications Book in PDF, ePub and Kindle
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 | : Ronald Newbold Bracewell |
| Publisher | : |
| Total Pages | : |
| Release | : 1978 |
| Genre | : Fourier transformations |
| ISBN | : |
Download The Fourier Transform and Its Applications Book in PDF, ePub and Kindle
| Author | : Frank Morgan |
| Publisher | : American Mathematical Society |
| Total Pages | : 209 |
| Release | : 2021-10-25 |
| Genre | : Mathematics |
| ISBN | : 1470465019 |
Download Real Analysis and Applications Book in PDF, ePub and Kindle
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.
| Author | : Valery Serov |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2018-08-31 |
| Genre | : Mathematics |
| ISBN | : 9783319879857 |
Download Fourier Series, Fourier Transform and Their Applications to Mathematical Physics Book in PDF, ePub and Kindle
This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.
| Author | : Audrey Terras |
| Publisher | : Cambridge University Press |
| Total Pages | : 456 |
| Release | : 1999-03-28 |
| Genre | : Mathematics |
| ISBN | : 9780521457187 |
Download Fourier Analysis on Finite Groups and Applications Book in PDF, ePub and Kindle
It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
| Author | : H. Joseph Weaver |
| Publisher | : |
| Total Pages | : 375 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780894647352 |
Download Applications of Discrete and Continuous Fourier Analysis Book in PDF, ePub and Kindle
| Author | : H. Groemer |
| Publisher | : Cambridge University Press |
| Total Pages | : 343 |
| Release | : 1996-09-13 |
| Genre | : Mathematics |
| ISBN | : 0521473187 |
Download Geometric Applications of Fourier Series and Spherical Harmonics Book in PDF, ePub and Kindle
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
| Author | : Claude Gasquet |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 434 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461215986 |
Download Fourier Analysis and Applications Book in PDF, ePub and Kindle
The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.
