Böcker av Charles W (New Mexico State Univ Swartz

Presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane. This book shows how fresh theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and compares the different integrals.

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, such as a method for defining "functions of an operator". This book contains an exposition of several such functional calculi.

Presents an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis. This book explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces.