Foundations of Real and Abstract Analysis

• Main Author: Bridges, Douglas S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1998.
• Series: Graduate Texts in Mathematics, 174
• Subjects: Mathematics.; Operations research.; Decision making.; Functions of real variables.; Real Functions.; Operation Research/Decision Theory.

The core of this book, Chapters 3 through 5, presents a course on metric, normed,andHilbertspacesatthesenior/graduatelevel. Themotivationfor each of these chapters is the generalisation of a particular attribute of the n Euclidean spaceR : in Chapter 3, that attribute isdistance; in Chapter 4, lengt...

Table of Contents:

• Real Analysis
• Analysis on the Real Line
• Differentiation and the Lebesgue Integral
• Abstract Analysis
• Analysis in Metric Spaces
• Analysis in Normed Linear Spaces
• Hilbert Spaces
• An Introduction to Functional Analysis.