Bøker av Charalambos D. (Purdue University Aliprantis

Introduces students to the fundamentals of the theory of measure and functional analysis. This work includes a chapter on Hilbert spaces, and covers the basic theory of integration using a practical synthesis of the "Daniell Method" and the measure theoretic approach. It also offers a connection between real analysis and functional analysis.

This volume aims to teach the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in the companion "Principles of Real Analysis", 3rd edition.