Advanced Real Analysis Along with a companion volume Basic Real Analysis /

• Main Author: Knapp, Anthony W. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Series: Cornerstones
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Fourier analysis.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Probabilities.; Analysis.; Functional Analysis.; Fourier Analysis.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.; Probability Theory and Stochastic Processes.

Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a gl...

Table of Contents:

• to Boundary-Value Problems
• Compact Self-Adjoint Operators
• Topics in Euclidean Fourier Analysis
• Topics in Functional Analysis
• Distributions
• Compact and Locally Compact Groups
• Aspects of Partial Differential Equations
• Analysis on Manifolds
• Foundations of Probability.