Topological and Metric Spaces, Banach Spaces

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Topological, metric, Hilbert and Banach spaces and Spectral Theory are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

Content:-

• Introduction
• Topological and metric spaces
  1. Weierstra ’s approximation theorem
  2. Topological and metric spaces
  3. Contractions
  4. Simple integral equations
• Banach spaces
  1. Simple vector spaces
  2. Normed spaces
  3. Banach spaces
  4. The Lebesgue integral
• Bounded operators
• Index