Real and complex analysis

By: Rudin, WalterMaterial type: TextTextSeries: Mathematics seriesPublication details: New York: McGraw-Hill, ©1986Description: xiv, 416 pagesISBN: 9780071002769; 0071002766Subject(s): Mathematical analysisDDC classification: 515
Contents:
Abstract integration -- Positive Borel measures -- LP-spaces -- Elementary Hilbert space theory -- Examples of Banach space techniques -- Complex measures -- Differentiation -- Integration on product spaces -- Fourier transforms -- Elementary properties of holomorphic functions -- Harmonic functions -- The maximum modulus principle -- Approximation by rational functions -- Conformal mapping -- Zeros of holomorphic functions -- Analytic continuation -- HP-spaces -- Elementary theory of Banach algebras -- Holomorphic Fourier transforms -- Uniform approximation by polynominals.
Summary: Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Reference Books Reference Books Main Library
Reference 		Reference 515 RUD (Browse shelf(Opens below)) Available 007961
Reference Books Reference Books Main Library
Reference 		Reference 515 RUD (Browse shelf(Opens below)) Available 009578
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Includes Index

Abstract integration --
Positive Borel measures --
LP-spaces --
Elementary Hilbert space theory --
Examples of Banach space techniques --
Complex measures --
Differentiation --
Integration on product spaces --
Fourier transforms --
Elementary properties of holomorphic functions --
Harmonic functions --
The maximum modulus principle --
Approximation by rational functions --
Conformal mapping --
Zeros of holomorphic functions --
Analytic continuation --
HP-spaces --
Elementary theory of Banach algebras --
Holomorphic Fourier transforms --
Uniform approximation by polynominals.

Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.

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