Introduction To Calculus And Analysis -
Volume I focuses on functions of a single variable, bridging the gap between basic calculus and higher-level real analysis. It is widely used for its clear pedagogical approach and historical context.
: Covers limits, the number concept (rational vs. real numbers), and the fundamental ideas of integral and differential calculus. Introduction to Calculus and Analysis
: Includes Taylor's expansions, numerical methods, infinite sums/products, and trigonometric (Fourier) series. Volume II: Several Variables Volume I focuses on functions of a single