Fourier Series

Author: Georgi P. Tolstov
Editor: Courier Corporation
ISBN: 0486141748
File Size: 43,75 MB
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This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and more. Over 100 problems. 1962 edition.

Introduction To Fourier Series

Author: Rupert Lasser
Editor: CRC Press
ISBN: 9780824796105
File Size: 25,84 MB
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This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.

Discourse On Fourier Series

Author: Cornelius Lanczos
Editor: SIAM
ISBN: 1611974518
File Size: 47,32 MB
Format: PDF
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Originally published in 1966, this well-written and still-cited text covers Fourier analysis, a foundation of science and engineering. Many modern textbooks are filled with specialized terms and equations that may be confusing, but this book uses a friendly, conversational tone to clarify the material and engage the reader. The author meticulously develops the topic and uses 161 problems integrated into the text to walk the student down the simplest path to a solution. Intended for students of engineering, physics, and mathematics at both advanced undergraduate and graduate levels.

Fourier Series And Integral Transforms

Author: Allan Pinkus
Editor: Cambridge University Press
ISBN: 9780521597715
File Size: 42,38 MB
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Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.

Fourier Series

Author: Rajendra Bhatia
Editor: MAA
ISBN: 9780883857403
File Size: 42,54 MB
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This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.

Fourier Series And Transforms

Author: R.D Harding
Editor: CRC Press
ISBN: 1000657655
File Size: 51,53 MB
Format: PDF
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This book helps in giving a qualitative feel for the properties of Fourier series and Fourier transforms by using the illustrative powers of computer graphics. It is useful for wide variety of students as it focuses on qualitative aspects and the flexibility with regard to program modification.

An Introduction To Fourier Series And Integrals

Author: Robert T. Seeley
Editor: Courier Corporation
ISBN: 0486151794
File Size: 11,82 MB
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DIVThis compact guide emphasizes the relationship between physics and mathematics, introducing Fourier series in the way that Fourier himself used them: as solutions of the heat equation in a disk. 1966 edition. /div

Fourier Series

Author: Alois Kufner
Editor:
ISBN:
File Size: 49,32 MB
Format: PDF
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Fourier Series

Author: G. H. Hardy
Editor: Courier Corporation
ISBN: 0486316289
File Size: 45,88 MB
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Classic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.

Fourier Series In Several Variables With Applications To Partial Differential Equations

Author: Victor Shapiro
Editor: CRC Press
ISBN: 1439854289
File Size: 65,95 MB
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Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear e

Fourier Series

Author: Robert K. Ritt
Editor:
ISBN:
File Size: 55,29 MB
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Fourier Series Fourier Transforms And Function Spaces A Second Course In Analysis

Author: Tim Hsu
Editor: American Mathematical Soc.
ISBN: 147045145X
File Size: 32,88 MB
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Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rigorous manner. Students interested in statistics (time series), machine learning (kernel methods), mathematical physics (quantum mechanics), or electrical engineering (signal processing) will find this book useful. With 400 problems, many of which guide readers in developing key theoretical concepts themselves, this text can also be adapted to self-study or an inquiry-based approach. Finally, of course, this text can also serve as motivation and preparation for students going on to further study in analysis.

Fourier Series Transforms And Boundary Value Problems

Author: J. Ray Hanna
Editor: Courier Corporation
ISBN: 0486466736
File Size: 24,24 MB
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This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.

Fourier Series

Author: Werner Rogosinski
Editor: Chelsea Publishing Company, Incorporated
ISBN:
File Size: 23,42 MB
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How Indians discovered the land, pioneered in it, and created great classical civilzations; how they were plunged into a Dark Age by invasion and conquest; and how they are now reviving.

Examples Of Fourier Series

Author:
Editor: Bookboon
ISBN: 8776813800
File Size: 21,53 MB
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Pointwise Convergence Of Fourier Series

Author: Juan Arias de Reyna
Editor: Springer Science & Business Media
ISBN: 9783540432708
File Size: 62,71 MB
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This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman's proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof. The intention of this monograph is to make Carleson's proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature.

Fourier Series And Orthogonal Polynomials

Author: Dunham Jackson
Editor: Courier Corporation
ISBN: 9780486438085
File Size: 14,22 MB
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This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.

An Introduction To Non Harmonic Fourier Series Revised Edition 93

Author: Robert M. Young
Editor: Academic Press
ISBN: 9780127729558
File Size: 13,30 MB
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An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations.