Mathematical analysis a concise introduction (Wiley-Interscience, 2008)
Includes bibliographical references (p. 551-552) and index
Mathematical Analysis: A Concise Introduction; Contents; Preface; Part I: Analysis of Functions of a Single Real Variable; 1 The Real Numbers; 2 Sequences of Real Numbers; 3 Continuous Functions; 4 Differentiable Functions; 5 The Riemann Integral I; 6 Series of Real Numbers I; 7 Some Set Theory; 8 The Riemann Integral II; 9 The Lebesgue Integral; 10 Series of Real Numbers II; 11 Sequences of Functions; 12 Transcendental Functions; 13 Numerical Methods; Part II: Analysis in Abstract Spaces; 14 Integration on Measure Spaces; 15 The Abstract Venues for Analysis; 16 The Topology of Metric Spaces
Bridging the gap between calculus and further abstract topics this book presents a well organized and much needed introduction to the foundations of analysis. It is composed of three sections: the analysis of functions of one real variable, including an i