Glimpses of Algebra and Geometry, Second Edition
Gabor Toth
Springer
Undergraduate Texts in Mathematics Readings in Mathematics Editors
S. Axler F.W. Gehring K.A. Ribet
Gabor Toth
Glimpses of Algebra and Geometry Second Edition
With 183 Illustrations, Including 18 in Full Color
Gabor Toth Department of Mathematical Sciences Rutgers University Camden, NJ 08102 USA
[email protected] Editorial Board S. Axler Mathematics Department San Francisco State University San Francisco, CA 94132 USA
F.W. Gehring Mathematics Department East Hall University of Michigan Ann Arbor, MI 48109 USA
K.A. Ribet Mathematics Department University of California, Berkeley Berkeley, CA 94720-3840 USA
Front cover illustration: The regular compound of five tetrahedra given by the faceplanes of a colored icosahedron. The circumscribed dodecahedron is also shown. Computer graphic made by the author using Geomview. Back cover illustration: The regular compound of five cubes inscribed in a dodecahedron. Computer graphic made by the author using Mathematica. Mathematics Subject Classification (2000): 15-01, 11-01, 51-01 Library of Congress Cataloging-in-Publication Data Toth, Gabor, Ph.D. G