Real Analysis - I

This is a text for an introductory real analysis for beginners science students with a serious interest in mathematics. Prospective educators or mathematically gifted higher mathematics students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. In the series of Real Analysis this book Real analysis-I, contains the concepts of Set Theory, Ordered Fields and the Real Numbers, Sequences in R, Functions, Convergence and Continuity, Derivatives, Integration, Infinite Series, Convergence and Continuity in R^n, Derivatives for multivariate functions. This book is useful for the purpose of various competition examinations.