Primer of modern analysis: (Directions for knowing all dark things, Rhind Papyrus, 1800 B.C.)

This edition is a comprehensive introduction to the basic ideas of modern mathematical analysis. Coverage proceeds form the elementary level to advanced and research levels. Additions to this edition include Rademacher's theorem on differentiability of Lipschitz Functions, deeper formulas on change of variables in multiple integrals, and recent results on the extension of differentiable functions.