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Fourier analysi: part I - theory

By: Constantine, Adrian.
Material type: materialTypeLabelBookPublisher: UK Cambridge university press 2016Description: x, 353 p.ISBN: 9781107620353.Subject(s): Mathematical analysis | Fourier analysis | Fourier analysis - TheoryDDC classification: 515.2433 Summary: Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study. http://tm1-live.eu.aws.cambridge.org/nu/academic/subjects/mathematics/real-and-complex-analysis/fourier-analysis-volume-1?format=PB&isbn=9781107620353#LpKESg149gsBsqyj.97
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Item type Current location Collection Call number Status Date due Barcode
Books Books Vikram Sarabhai Library
General Stacks
Non Fiction 515.2433 C6F6 (Browse shelf) Available 194405

Table of Contents:


1. Introduction
2. The Lebesgue measure and integral
3. Elements of functional analysis
4. Convergence results for Fourier series
5. Fourier transforms
6. Multi-dimensional Fourier analysis
7. A glance at some advanced topics


Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.


http://tm1-live.eu.aws.cambridge.org/nu/academic/subjects/mathematics/real-and-complex-analysis/fourier-analysis-volume-1?format=PB&isbn=9781107620353#LpKESg149gsBsqyj.97

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