|Real Analysis, 2/e is a carefully worded narrative that presents the ideas of elementary real analysis while keeping the perspective of a student in mind. The order and flow of topics has been preserved, but the sections have been reorganized somewhat so that related ideas are grouped together better. A few additional topics have been added; most notably, functions of bounded variation, convex function, numerical methods of integration, and metric spaces. The biggest change is the number of exercises; there are now more than 1600 exercises in the text.|
Table of contents
1. Real Numbers.
3. Limits and Continuity.
6. Infinite Series.
7. Sequences and Series of Functions.
8. Point-Set Topology.
Appendix A. Mathematical Logic.
Appendix B. Sets and Functions.
Appendix C. Mathematical Induction.
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