Bøger af Adam Bobrowski

'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 beginning graduate students, this book discusses the theory of Markov chains, drawing on the works of Kolmogorov and Feller, and bringing the tools of functional analysis into play in a way that is not done elsewhere. The author uses numerous examples and illustrations to demonstrate the theory.

This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions.