Elements of Real Analysis is a classic and convincing text that offers a rigorous, student-friendly introduction to the foundations of Real Analysis. Beginning from the basic concepts of sets, functions and the real number system, the book develops the subject systematically through sequences, series, limits, continuity, differentiation, Riemann and Riemann-Stieltjes integration, improper integrals, uniform convergence, power series, Fourier series and advanced topics such as functions of bounded variation. In this edition, the book incorporates improved explanations, new theorems, additional solved examples and updated problems drawn from recent examinations. The authors present concepts with clarity and logical precision, making the text ideal for undergraduate and postgraduate students, as well as aspirants of competitive examinations like GATE, CSIR-UGC NET and IAS.
Elements of Real Analysis is a classic and convincing text that offers a rigorous, student-friendly introduction to the foundations of Real Analysis. Beginning from the basic concepts of sets, functions and the real number system, the book develops the subject systematically through sequences, se...