Elements of the Theory of Functions and Functional Analysis [Two Volumes in One] Paperback – 8 May 2012

From one of the greatest mathematician of last 100 years , this book is worth every penny.

This is a masterpiece written by two pretty influential mathematicians of the nineteenth century. It's an amalgam of two separate volumes, which contain every aspect of undergraduate-level analysis. Some proofs in Riemann integrals have been dealt with the utmost finesse that I've never seen before. The transition from Riemann to Lebesgue integrals has been laid out exceptionally well. The theory and intuition behind every topic are very well explained and clear.

Grate book for every one who want to know about functional analysis.

With Rudin, Ahlfors, and Kolmogorov as your teachers, you need not further worry about the remaining maths for the physicist.

A.N. Kolmogorov was arguably the greatest mathematician of the 20th century best known for creating modern probability theory by placing it on a rigorous mathematical basis. While a creative researcher of the highest order, he paid great attention to teaching. The result is a truly outstanding introductory book on an advanced topic.

The theory of functions and functional analysis authored by A.N. Kolmogorov and S.V. Fomin is designed for mathematicians and a very good book to conceptualize set theory, relations, types of mapping, metric spaces, normed linear spaces, linear operator equations etc. This is a good book to follow and may be used as a reference for linear and abstract algebra as well. Thank you.