This book is a general introduction to Higher Algebraic K-groups of
rings and algebraic varieties, which were first defined by Quillen at
the beginning of the 70's. These K-groups happen to be useful in many
different fields, including topology, algebraic geometry, algebra and
number theory. The goal of this volume is to provide graduate students,
teachers and researchers with basic definitions, concepts and results,
and to give a sampling of current directions of research. Written by
five specialists of different parts of the subject, each set of lectures
reflects the particular perspective ofits author. As such, this volume
can serve as a primer (if not as a technical basic textbook) for
mathematicians from many different fields of interest.