Revised and updated introduction to functional analysis.
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' ... a well-written concise introduction to functional analysis.' European Mathematical Society
'Bollobás writes with clarity and has clearly thought about the needs of his readers. First-time students of functional analysis will thank him for his willingness to remind them about notation and to repeat definitions that he has not used for a while. Bollobás has written a fine book. it is an excellent introduction to functional analysis that will be invaluable to advanced undergraduate students (and their lectures). Steve Abbott, The Mathematical Gazette
Now revised and updated, this introduction to functional analysis is intended for advanced undergraduate students with some background in real analysis. The author includes results of application in contemporary mathematics and shows the relevance of functional analysis to other areas. An outstanding feature is the large number of exercises.
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