How We Got from There to Here: A Story of Real Analysis

Abstract

Chapter 1: Numbers, Real (R) and Rational (Q). Chapter 2: Calculus in the 17th and 18th Centuries. Chapter 3: Questions Concerning Power Series. Chapter 4: Convergence of Sequences and Series. Chapter 5: Convergence of the Taylor Series: A “Tayl” of Three Remainders. Chapter 6: Continuity: What It Isn’t and What It Is. Chapter 7: Intermediate and Extreme Values. Chapter 8: Back to Power Series. Chapter 9: Back to the Real Numbers.