Functional Analysis Revisited (Paperback)

Adam Bobrowski

ISBN 10: 1009430890 / ISBN 13: 9781009430890

Edité par Cambridge University Press, Cambridge, 2024

A propos de cet article

Paperback. 'Functional Analysis Revisited' is not a first course in functional analysis although it covers the basic notions of functional analysis, it assumes the reader is somewhat acquainted with them. It is by no means a second course either: there are too many deep subjects that are not within scope here. Instead, having the basics under his belt, the author takes the time to carefully think through their fundamental consequences. In particular, the focus is on the notion of completeness and its implications, yet without venturing too far from areas where the description 'elementary' is still valid. The author also looks at some applications, perhaps just outside the core of functional analysis, that are not completely trivial. The aim is to show how functional analysis influences and is influenced by other branches of contemporary mathematics. This is what we mean by 'Functional Analysis Revisited.' Suitable for graduate students, this book reviews basic functional analysis focusing on the fundamental notion of completeness, demonstrating how it lies at the core of our understanding of mathematics. The theory is introduced step by step using examples and exercises; applications to other branches of mathematics are discussed in depth. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9781009430890

Détails bibliographiques

• Titre: Functional Analysis Revisited (Paperback)
• Éditeur: Cambridge University Press, Cambridge
• Date de parution: 2024
• Langue: anglais
• ISBN à 10 chiffres: 1009430890
• ISBN à 13 chiffres: 9781009430890
• Reliure: Paperback
• État de l'article: new

A propos de ce titre

Synopsis

'Functional Analysis Revisited' is not a first course in functional analysis - although it covers the basic notions of functional analysis, it assumes the reader is somewhat acquainted with them. It is by no means a second course either: there are too many deep subjects that are not within scope here. Instead, having the basics under his belt, the author takes the time to carefully think through their fundamental consequences. In particular, the focus is on the notion of completeness and its implications, yet without venturing too far from areas where the description 'elementary' is still valid. The author also looks at some applications, perhaps just outside the core of functional analysis, that are not completely trivial. The aim is to show how functional analysis influences and is influenced by other branches of contemporary mathematics. This is what we mean by 'Functional Analysis Revisited.'

À propos de l?auteur

Adam Bobrowski is a professor in the Department of Mathematics at Lublin University of Technology, Poland. He was awarded the Hugo Steinhaus Prize for his achievements in analyzing mathematical models of biological reality and has authored more than 70 scientific papers and six books. His works include 'Functional Analysis for Probability and Stochastic Processes' (2005), 'Convergence of One-Parameter Operator Semigroups' (2016), and 'Generators of Markov Chains' (2020).