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Principles of mathematical analysis / Walter Rudin.

By: Material type: TextTextSeries: International series in pure and applied mathematicsPublisher: New York : McGraw-Hill, 1976Edition: Third edition, International editionDescription: x, 342 pages ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780070856134
Subject(s): DDC classification:
  • 515 RU.P 1976 23
Contents:
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.
Summary: 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.
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Item type Current library Collection Call number Status Date due Barcode
Books Books The Knowledge Hub Library Information Management 515 RU.P 1976 (Browse shelf(Opens below)) Available 212085
Books Books The Knowledge Hub Library Information Management 515 RU.P 1976 (Browse shelf(Opens below)) Available 212086

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.

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