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Fourier Series

Author : Rajendra Bhatia
ISBN : 0883857405
Genre : Mathematics
File Size : 62.68 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.
Category: Mathematics

Fourier Series

Author : Georgi P. Tolstov
ISBN : 9780486141749
Genre : Mathematics
File Size : 33.70 MB
Format : PDF, Kindle
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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.
Category: Mathematics

Introduction To Fourier Series

Author : Rupert Lasser
ISBN : 0824796101
Genre : Mathematics
File Size : 81.42 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.
Category: Mathematics

Fourier Series And Transforms

Author : R.D Harding
ISBN : 0852748094
Genre : Mathematics
File Size : 26.51 MB
Format : PDF
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Fourier Series and Transforms, a software and text package, complements standard textbooks and lecture courses by providing a solid overview of the topic. The software provides more extensive illustrations than a conventional text with interactive programs that have been designed to be open to modifications. The emphasis on qualitative aspects and flexibility with regard to program modification make the package useful to a wide range of students. The book assumes some mathematical expertise as well as basic computer language knowledge.
Category: Mathematics

Fourier Series And Orthogonal Functions

Author : Harry F. Davis
ISBN : 9780486140735
Genre : Mathematics
File Size : 84.1 MB
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An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
Category: Mathematics

Fourier Series And Integral Transforms

Author : Allan Pinkus
ISBN : 0521597714
Genre : Mathematics
File Size : 29.67 MB
Format : PDF, Docs
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Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Category: Mathematics

An Introduction To Nonharmonic Fourier Series

Author : Robert M. Young
ISBN : 0127729550
Genre : Mathematics
File Size : 56.89 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.
Category: Mathematics

An Introduction To Fourier Series And Integrals

Author : Robert T. Seeley
ISBN : 9780486151793
Genre : Mathematics
File Size : 82.93 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
Category: Mathematics

Pointwise Convergence Of Fourier Series

Author : Juan Arias de Reyna
ISBN : 3540432701
Genre : Mathematics
File Size : 61.99 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.
Category: Mathematics