Real Analysis English 2005

This book provides an excellent introduction to topics in Real Analysis through an elaborate exposition of all fundamental concepts and results. The treatment is rigorous and exhaustive - both classical and modern topics are presented in a lucid manner, in order to make this text appealing to students. Clear explanations, many detailed worked examples and several challenging ones included in the exercises, enable students to develop problem-solving skills and foster critical thinking. The coverage of the book is incredibly comprehensive, with due emphasis on Lebesgue theory, metric spaces, uniform convergence, Riemann - Stieltjes integral, and parametric integration. The book is primarily designed for use by undergraduate and postgraduate students of mathematics.