Paperback. Pub Date: June 2003 Pages: 400 in Publisher: World Publishing Company This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modem mathematical physics It describes the fundamental principles of functional analysis and is essentially self-contained. although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics. modem physics. and partial differenrial equations. Contents: PrefaceIntroductionContents of Other VolumesI: PRELIMINARIES1. Sets and functions2. Metric and normed linear spacesAppendix Lira sup and lim inf3. The Lebesgue integral4. Abstract measure theory5. Two conrergence arguments6. Equi...
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