Bøger af Joel H. Shapiro

Introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques.

This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis.