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Fourier Series / Rajendra Bhatia

By: Bhatia, RajendraContributor(s): Bhatia, RajendraMaterial type: Text

TextPublisher number: :Variety Books Publishers & Distributors | :B-10 Street No 2 West Vinod Nagar Delhi 110092 Series: Texts and Reading in Mathematics 2Publication details: New Delhi :Hindustan Book Agency 2003Description: x, 174p. 24cmISSN: 9788185931340Subject(s): Mathematics | Analysis | Fourier series | Fourier, Séries de | MATHEMATICS -- Infinity | MATHEMATICS -- Mathematical Analysis | Fourier-ReiheDDC classification: 515.2433 BHA

Contents:

Heat conduction and fourier series -- Convergence of fourier series -- Odds and ends -- Convergence in L2 and L1 -- Some applications -- A note on normalisation.

Summary: 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.

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Mathematics Departmental Library	SNU LIBRARY	515.2433 BHA (Browse shelf(Opens below))	Available	FPDA Grant		M211

Total holds: 0

Heat conduction and fourier series --
Convergence of fourier series --
Odds and ends --
Convergence in L2 and L1 --
Some applications --
A note on normalisation.

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.

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