This book represents a first course in the theory of metric, normed, and Hilbert spaces, and is intended (i) for mathematicians, physicists, and others who may need only one course that provides the elements of that subject, and (ii) as a foundation for more advanced courses in analysis, topology, and geometry for pure mathematicians. Prerequisites is a knowledge of the basic ideas of limits and continuity.
A wide range of material * Clear and concise format * Unique collection of nearly 750 exercises * Pointers to new branches of the subject
Douglas S. Bridges
Hilbert space calculus differential equation functional analysis mathematical economics real analysis