An Introduction to Abstract Analysis

✍ Scribed by W. A. Light (auth.)

• Publisher: Springer US
• Year: 1990
• Tongue: English
• Leaves: 205
• Category: Library

✦ Table of Contents

Content:
Front Matter....Pages i-xiii
Basic ideas....Pages 1-10
Some simple results....Pages 11-29
Open and closed sets....Pages 30-41
Denseness, separability and completeness....Pages 42-51
Function spaces....Pages 52-70
Compactness....Pages 71-82
The contraction mapping theorem....Pages 83-91
Linear mappings....Pages 92-119
Differentiation in ℝ2 ....Pages 120-141
Differentiation — a more abstract viewpoint....Pages 142-155
The Riemann integral....Pages 156-175
Two hard results....Pages 176-186
Back Matter....Pages 187-194