- professors teaching an undergraduate course or basic graduate course in real analysis.
- high school teachers working with advanced math students.
- students wishing to see the type of mathematics they would be exposed to as a math major.
- 16 lessons consisting of basic to intermediate topics in real analysis.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Basic Set Theory
Lesson 2 - Relations and Partitions
Lesson 3 - Functions
Lesson 4 - Number Systems and Induction
Lesson 5 - Equinumerosity
Lesson 6 - Algebraic Structures and Completeness
Lesson 7 - Basic Topology of R
Lesson 8 - Limits and Continuity
Lesson 9 - Topological Continuity
Lesson 10 - Differentiaton
Lesson 11 - Riemann Integration
Lesson 12 - Logarithmic and Exponential Functions
Lesson 13 - Improper Integration
Lesson 14 - Sequences
Lesson 15 - Series
Lesson 16 - Sequences and Series of Functions