Principles of mathematical analysis /
Rudin, Walter, 1921-2010,
Principles of mathematical analysis / Walter Rudin. - Third edition, International edition. - x, 342 pages ; 24 cm. - International series in pure and applied mathematics . - International series in pure and applied mathematics. .
Includes bibliographical references (pages 335-336) and index.
The real and complete number systems -- Basic topology --- Numerical sequences and series -- Continuity -- Differentiation -- The Riemann-Stieltjes integral -- Sequences and series of functions -- Some special functions -- Function of several variables -- Integration of differential forms -- The Lebesgue theory.
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. -- Publisher description.
9780070856134
Mathematical analysis.
Mathematics.
515 RU.P 1976
Principles of mathematical analysis / Walter Rudin. - Third edition, International edition. - x, 342 pages ; 24 cm. - International series in pure and applied mathematics . - International series in pure and applied mathematics. .
Includes bibliographical references (pages 335-336) and index.
The real and complete number systems -- Basic topology --- Numerical sequences and series -- Continuity -- Differentiation -- The Riemann-Stieltjes integral -- Sequences and series of functions -- Some special functions -- Function of several variables -- Integration of differential forms -- The Lebesgue theory.
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. -- Publisher description.
9780070856134
Mathematical analysis.
Mathematics.
515 RU.P 1976
