MODERN ALGEBRA WITH APPLICATIONS PURE AND APPLIED MATHEMATICS A Wiley-Interscience Series of Texts, Monograph, and Tracts Founded by RICHARD COURANT Editors: MYRON B. ALLEN III, DAVID A. COX, PETER LAX Editors Emeriti: PETER HILTON, HARRY HOCHSTADT, JOHN TOLAND A complete list of the titles in this series appears at the end of this volume. MODERN ALGEBRA WITH APPLICATIONS Second Edition WILLIAM J. GILBERT University of Waterloo Department of Pure Mathematics Waterloo, Ontario, Canada W. KEITH NICHOLSON University of Calgary Department of Mathematics and Statistics Calgary, Alberta, Canada A JOHN WILEY & SONS, INC., PUBLICATION Cover: Still image from the applet KaleidoHedron, Copyright 2000 by Greg.
