### About this book

This is the first systematic study of best approximation theory in inner
product spaces and, in particular, in Hilbert space. Geometric considerations
play a prominent role in developing and understanding the theory. The only
prerequisite for reading the book is some knowledge of advanced calculus and
linear algebra. Throughout the book, examples and applications have been
interspersed with the theory. Each chapter concludes with numerous exercises
and a section in which the author puts the results of that chapter into a
historical perspective. The book is based on lecture notes for a graduate
course on best approximation which the author has taught for over 25 years.
Written for:

Mathematicians, engineers, computer scientists, statistici- ans