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Fourier Series

Author: Georgi P. Tolstov
Publisher: Courier Corporation
ISBN: 0486141748
Size: 38.33 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.

Fourier Series

Author: G. H. Hardy
Publisher: Courier Corporation
ISBN: 0486316289
Size: 33.38 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 And Orthogonal Functions

Author: Harry F. Davis
Publisher: Courier Corporation
ISBN: 0486140733
Size: 51.91 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.

Fourier Transforms

Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 9780486685229
Size: 62.48 MB
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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.

An Introduction To Fourier Series And Integrals

Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 0486151794
Size: 57.91 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 Analysis In Several Complex Variables

Author: Leon Ehrenpreis
Publisher: Courier Corporation
ISBN: 0486153037
Size: 64.69 MB
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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.

Fourier Analysis On Groups

Author: Walter Rudin
Publisher: Courier Dover Publications
ISBN: 0486821013
Size: 56.73 MB
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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: 9780883857403
Size: 14.73 MB
Format: PDF, ePub
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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 Transforms And Boundary Value Problems

Author: J. Ray Hanna
Publisher: Courier Corporation
ISBN: 0486466736
Size: 11.11 MB
Format: PDF
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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.