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Introduction To Fourier Series

Author : Rupert Lasser
ISBN : 0824796101
Genre : Mathematics
File Size : 55.28 MB
Format : PDF
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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 Orthogonal Functions

Author : Harry F. Davis
ISBN : 9780486140735
Genre : Mathematics
File Size : 36.36 MB
Format : PDF, Docs
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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

Author : Georgi P. Tolstov
ISBN : 9780486141749
Genre : Mathematics
File Size : 34.69 MB
Format : PDF, ePub
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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

Fourier Series

Author : Rajendra Bhatia
ISBN : 0883857405
Genre : Mathematics
File Size : 53.31 MB
Format : PDF, ePub, Mobi
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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 And Integral Transforms

Author : Allan Pinkus
ISBN : 0521597714
Genre : Mathematics
File Size : 88.52 MB
Format : PDF, Kindle
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Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Category: Mathematics

Fourier Series And Orthogonal Polynomials

Author : Dunham Jackson
ISBN : 0486438082
Genre : Mathematics
File Size : 42.6 MB
Format : PDF, ePub, Mobi
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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.
Category: Mathematics

An Introduction To Lebesgue Integration And Fourier Series

Author : Howard J. Wilcox
ISBN : 9780486137476
Genre : Mathematics
File Size : 77.36 MB
Format : PDF, Docs
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Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.
Category: Mathematics

An Introduction To Laplace Transforms And Fourier Series

Author : P.P.G. Dyke
ISBN : 9781447105053
Genre : Mathematics
File Size : 90.22 MB
Format : PDF
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This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
Category: Mathematics