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Mathematics - Analysis | Calculus on Normed Vector Spaces

Calculus on Normed Vector Spaces

Series: Universitext

Coleman, Rodney

2012, XI, 249 p.

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  • Presents an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level
  • One of the few textbooks to bridge the gap between the available elementary texts and high level texts
  • Includes many non-trivial applications of the theory and interesting exercises

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

Content Level » Graduate

Keywords » Hilbert spaces - convexity - differentiability - normed algebras - normed vector spaces - optimization

Related subjects » Analysis - Mathematics

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