Key Features:Y New edition in two-colour with improvised figuresY Discusses the theory from its very beginningY Foundations have been laid very carefully and the treatment is rigorous, and on modern linesY The Riemann integration is treated in fullY Large number of well graded examples have been given and some of these have been solved.About the Book:The book is intended to serve as a textbook for a course in Real Analysis for undergraduate andpostgraduate students. It is also meant for engineering students and other professionals.The book discusses the theory from its very beginning. The foundations have been laid verycarefully and the treatment is rigorous and on modern lines. It starts with a quick review of theessential properties of rational numbers and using Dedekind's form, the properties for realnumbers are established. This foundation supports the subsequent chapters--topologicalframework; sequences and series; continuity; differentiation; extreme values; indeterminateforms; elementary functions. The Riemann integration is treated fully.

Finally, it deals withRiemann-Stieltjes integrals; functions of several variables; implicit functions; Jacobians and themethod of Lagrange's multipliers for extreme values of functions with subsidiary conditions. Thematerial on functions of two-variables has been given with more details and more examples. Anappendix has also been given on Cantor's theory of the construction of real numbers to make thebook more useful.