Fourier Series

Author: Georgi P. Tolstov
Publisher: Courier Corporation
ISBN: 9780486141749
Release Date: 2012-03-14
Genre: Mathematics

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.

Fourier Series

Author: G. H. Hardy
Publisher: Courier Corporation
ISBN: 9780486316284
Release Date: 2013-05-27
Genre: Mathematics

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.

An Introduction to Lebesgue Integration and Fourier Series

Author: Howard J. Wilcox
Publisher: Courier Corporation
ISBN: 9780486137476
Release Date: 2012-04-30
Genre: Mathematics

Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.

Fourier Series and Orthogonal Functions

Author: Harry F. Davis
Publisher: Courier Corporation
ISBN: 9780486140735
Release Date: 2012-09-05
Genre: Mathematics

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.

Fourier Transforms

Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 0486685225
Release Date: 1995
Genre: Mathematics

Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.

Fourier Analysis in Several Complex Variables

Author: Leon Ehrenpreis
Publisher: Courier Corporation
ISBN: 9780486153032
Release Date: 2011-11-30
Genre: Mathematics

Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.

An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 9780486151793
Release Date: 2014-02-20
Genre: Mathematics

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 Analysis on Groups

Author: Walter Rudin
Publisher: Courier Dover Publications
ISBN: 9780486821016
Release Date: 2017-04-19
Genre: Mathematics

Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades. The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.

Fourier Series

Author: Rajendra Bhatia
Publisher: MAA
ISBN: 0883857405
Release Date: 2005-03-03
Genre: Mathematics

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 Transforms and Boundary Value Problems

Author: J. Ray Hanna
Publisher: Courier Corporation
ISBN: 9780486466736
Release Date: 2008-06-11
Genre: Mathematics

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.

An Introduction to Laplace Transforms and Fourier Series

Author: Phil Dyke
Publisher: Springer Science & Business Media
ISBN: 9781447163954
Release Date: 2014-03-24
Genre: Mathematics

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Fourier Series and Orthogonal Polynomials

Author: Dunham Jackson
Publisher: Courier Corporation
ISBN: 0486438082
Release Date: 2004-08
Genre: Mathematics

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.

Chebyshev and Fourier Spectral Methods

Author: John P. Boyd
Publisher: Courier Corporation
ISBN: 9780486141923
Release Date: 2013-06-05
Genre: Mathematics

Completely revised text applies spectral methods to boundary value, eigenvalue, and time-dependent problems, but also covers cardinal functions, matrix-solving methods, coordinate transformations, much more. Includes 7 appendices and over 160 text figures.

Fourier Analysis

Author: Javier Duoandikoetxea Zuazo
Publisher: American Mathematical Soc.
ISBN: 0821883844
Release Date: 2001-01-01
Genre: Mathematics


Orthogonal Functions

Author: Giovanni Sansone
Publisher: Courier Corporation
ISBN: 9780486438016
Release Date: 2004
Genre: Mathematics

The theory of orthogonal expansions had its origin in the debate concerning the vibrating string which animated the mathematical world two hundred years ago. It has since become an important area of modern mathematical thought. This highly regarded treatise presents the classical theory of orthogonal series with rigorous attention to detail and appropriate technique, but in an easy-to-read style. The book contains a wealth of information, factual and bibliographical, that will prove especially valuable to the applied mathematician who very often does not have access to original papers. He will find here a rich compilation of general results and convenient criteria concerning Fourier series, Legendre series, Laguerre and Hermite polynomials. Until the publication of this book, much of the material had not been published in English; this excellent translation by Ainsley H. Diamond, available now for the first time in paperback, makes it widely accessible to the English-speaking mathematics community.