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Basic elements of real analysis [electronic resource] / Murray H. Protter.

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From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a tex...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Protter, Murray H.
Format: Electronic eBook
Language:English
Published: New York : Springer, ©1998.
Series:Undergraduate texts in mathematics.
Subjects:
Mathematical analysis.
Table of Contents:
  • Cover
  • Preface
  • Table of Contents
  • 1. The Real Number System
  • 2. Continuity and Limits
  • 3. Basic Properties of Functions on R1
  • 4. Elementary Theory of Differentiation
  • 5. Elementary Theory of Integration
  • 6. Elementary Theory of Metric Spaces
  • 7. Differentiation and Integration in RN
  • 8. Infinite Series
  • 9. The Derivative of an Integral
  • 10. The Riemann- Stieltjes Integral
  • 11. The Implicit Function Theorem. Lagrange Multipliers
  • 12. Vector Functions on RN; The Theorems of Green and Stokes
  • Answers to Odd-Numbered Problems.

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