An Introduction to the Theory of Real Functions and Integration Jewgeni H. Dshalalow. Series Editor STEVEN G. KRANTZ ... Operators on Spaces of Analytic Functions John P. D'Angelo, Several Complex Variables and the Geometry of Real ...
This book would be useful as text for undergraduate students of all Indian universities and engineering institutes, including the Indian Institutes of Technology. Real Analysis is a CORE subject in mathematics at the college level.
The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and ...
This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions.
This introductory textbook covers important mathematical concepts, including the language of mathematics sequences and series, limits and continuity, and a brief introduction to metric spaces.