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BOOK REVIEWS 199 almost symplectic form on M, then QD is an almost symplectie form on F2M. Natural prolongations of G-structures are constructed. This text clearly demonstrates to students how jet calculus has evolved as a method for solving purely geometrical problems. The book is a most interesting survey for the professional scientist and for both mathematician and physicist as well. To truly profit from this book, prospective readers should be familiar with the first course in differential geometry inclusive of the notions of connections, metrics, curvature, and Lie groups. The book is lucidly written and should be easily intelligible to anyone who can understand elementary courses on manifolds. All in all, Differential Geometry of Frame Bundles is an excellent and modern work, offering valuable information for many readers who are interested in modern geometry and its applications. Department of Geometry and Topology, V. V. TROFIMOV Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119 899, U.S.S.R. Ernst Kunz: Introduction to Commutative Algebra and Algebraic Geometry (Translated from the German by Michael Ackerman with a preface by David Mumford), CIP- Kurz-titelaufnahme der Deutschen Bibliothek, Birkh/~user, Boston, Basel, Stutt- gart, 1985, xi+238 pp., ISBN 3-7643-3065-1. The foreword of this
Acta Applicandae Mathematicae – Springer Journals
Published: May 3, 2004
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