Hardcover ISBN:  9780821819128 
Product Code:  CHEL/287.H 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 
Hardcover ISBN:  9780821819128 
Product Code:  CHEL/287.H 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 

Book DetailsAMS Chelsea PublishingVolume: 287; 1976; 206 ppMSC: Primary 46
From the Preface: “This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first or secondyear graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, \(\epsilon\)'s and their companion \(\delta\)'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the WeierstrassBolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ..., matrices ..., or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.”

Reviews

Completely selfcontained ... All proofs are given in full detail ... recommended for unassisted reading by beginners ... For teaching purposes this book is ideal.
Proceedings of the Edinburgh Mathematical Society 
Easy to read and, although the author had in mind graduate students, most of it is obviously appropriate for an advanced undergraduate course ... also a book which a reasonably good student might read on his own.
Mathematical Reviews


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From the Preface: “This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first or secondyear graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, \(\epsilon\)'s and their companion \(\delta\)'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the WeierstrassBolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ..., matrices ..., or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.”

Completely selfcontained ... All proofs are given in full detail ... recommended for unassisted reading by beginners ... For teaching purposes this book is ideal.
Proceedings of the Edinburgh Mathematical Society 
Easy to read and, although the author had in mind graduate students, most of it is obviously appropriate for an advanced undergraduate course ... also a book which a reasonably good student might read on his own.
Mathematical Reviews