Real Analysis

Real Analysis

This fourth edition of real analysis preserves the goal and general structure of its venerable predecessors to present the measure theory, integration theory and functional analysis that a modern analyst needs to know. New to this edition: this edition contains 50% more exercises than the previous edition. Fundamental results, including egoroff's theorem and urysohn's lemma are now proven in the text. The borel-cantelli lemma, chebychev's inequality, rapidly cauchy sequences and the continuity properties possessed both by measure and the integral are now formally presented in the text along with several other concepts