ABSTRACT

A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book's material has been extensively classroom tested in the author's two-semester undergraduate course on real analysis at The George Washington University.The first part of the text presents the

part 1|2 pages

Part I: Functions of One Variable

chapter 1|26 pages

The Real Number System

chapter 2|18 pages

Numerical Sequences

chapter 3|26 pages

Limits and Continuity on R

chapter 4|34 pages

Differentiation on R

chapter 5|56 pages

Riemann Integration on R

chapter 6|30 pages

Numerical Infinite Series

chapter 7|36 pages

Sequences and Series of Functions

part 2|2 pages

Part II: Functions of Several Variables

chapter 8|56 pages

Metric Spaces

chapter 9|56 pages

Differentiation on Rn

chapter 10|24 pages

Lebesgue Measure on Rn

chapter 11|42 pages

Lebesgue Integration on Rn

chapter 12|38 pages

Curves and Surfaces in Rn

chapter 13|56 pages

Integration on Surfaces

part 3|2 pages

Part III: Appendices

chapter |4 pages

A Set Theory

chapter |8 pages

B Linear Algebra

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