Real and Functional Analysis Lang SergePevná vazba
Real and Functional Analysis Lang SergePevná vazba This book is meant as a text for a first year graduate course in analysis. I assume that the reader is acquainted with notions of uniform con-…
Specifikacia Real and Functional Analysis Lang SergePevná vazba
Real and Functional Analysis Lang SergePevná vazba
This book is meant as a text for a first year graduate course in analysis. I assume that the reader is acquainted with notions of uniform con- vergence and the like. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal- ysis.
Such a rearrangement fits the way courses are taught in all the places I know of. In this third edition, I have reorganized the book by covering inte- gration before functional analysis. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g.
on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text.
In a sense, the subject matter covers the same topics as
Functional Analysis
Functional Analysis
Real Numbers and Real Analysis
Real Analysis and Applications
Applied Functional Analysis
Elementary Functional Analysis
Real Analysis