A First Course in Real Analysis (Undergraduate Texts in Mathematics 2nd ed. 1991. Corr. 4th printing 1997)

A First Course in Real Analysis (Undergraduate Texts in Mathematics 2nd ed. 1991. Corr. 4th printing 1997)

By: Charles Bradfield Morrey (author), Murray H. Protter (author)Paperback

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Description

Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

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Contents

The Real Number System.- Continuity and Limits.- Basic Properties of Functions on R.- Elementary Theory of Differentiation.- Elementary Theory of Integration.- Elementary Theory of Metric Spaces.- Differentiation in R.- Integration in R.- Infinite Sequences and Infinite Series.- Fourier Series.- Functions Defined by Integrals.-Improper Integrals.- The Riemann-Stieltjes Integral and Functions of Bounded Variation.- Contraction Mappings, Newton's Method, and Differential Equations.- Implicit Function Theorems and Lagrange Multipliers.- Functions on Metric Spaces.- Approximation.- Vector Field Theory; the Theorems of Green and Stokes. Appendices.

Product Details

  • publication date: 07/03/1997
  • ISBN13: 9780387974378
  • Format: Paperback, Hardback
  • Number Of Pages: 554
  • ID: 9780387974378
  • weight: 997
  • ISBN10: 0387974377
  • edition: 2nd ed. 1991. Corr. 4th printing 1997

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