Alps R Morse's Set Theory and Analysis 2022

Real Analysis for Beginners consists of a series of basic to intermediate lessons in real analysis. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Real Analysis for Beginners is perfect for

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.

The material in this pure math book includes:

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.

Real Analysis Book Table Of Contents (Selected)
Here's a selection from the table of contents:

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