Real and complex analysis /
Rudin, Walter, 1921-2010.
Real and complex analysis / Walter Rudin. - Third edition. - xiv, 416 pages : figures ; 25 cm. - McGraw-Hill series in higher mathematics .
Cover title: Real & complex analysis. Includes index.
Includes bibliographic reference (pages 405-406).
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 polynomials.
This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level.
0070542341 : 9780070542341
86000007
Mathematical analysis.
Calculus
Análisis matemático
Cálculo
515
Real and complex analysis / Walter Rudin. - Third edition. - xiv, 416 pages : figures ; 25 cm. - McGraw-Hill series in higher mathematics .
Cover title: Real & complex analysis. Includes index.
Includes bibliographic reference (pages 405-406).
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 polynomials.
This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level.
0070542341 : 9780070542341
86000007
Mathematical analysis.
Calculus
Análisis matemático
Cálculo
515