: Re-establishes Part 1's results using formal axioms (ordered fields, completeness of the real line). It dives into topology on the real line, uniform convergence, infinite series/products, Taylor series, and the gamma function.
by Niels Jacob and Kristian P. Evans is designed as a rigorous bridge between school-level calculus and university-level mathematical analysis. A Course in Analysis - Volume I: Introductory C...
: Includes a focused look at convex functions , which helps link analysis to normed linear spaces. 2. Essential Study Strategy : Re-establishes Part 1's results using formal axioms
: The book includes appendices on logic and set theory to help if you're rusty. A Course in Analysis - Volume I: Introductory C...
: Solving quadratic/linear equations and working with exponents.