Recognizing the increased role of real analysis in economics, management engineering and computer science as well as in the physical sciences, this Second Edition meets the need for an accessible, comprehensive textbook regarding the fundamental concepts and techniques in this area of mathematics. Provides solid coverage of real analysis fundamentals with an emphasis on topics from numerical analysis and approximation theory because of their increased importance to contemporary students. Topics include real numbers, sequences, limits, continuous functions, differentiation, infinite series and more. Topological concepts are now conveniently combined into one chapter. An appendix on logic and proofs helps students in analyzing proofs of theorems.