E-Book Overview
The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses in differential topology and geometry. Differential Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good grounding in general topology, calculus, and modern algebra. It is ideal for a full year Ph.D. qualifying course and sufficiently self contained for private study by non-specialists wishing to survey the topic. The themes of linearization, (re)integration, and global versus local are emphasized repeatedly; additional features include a treatment of the elements of multivariable calculus, an exploration of bundle theory, and a further development of Lie theory than is customary in textbooks at this level. Students, teachers, and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.
E-Book Content
C I I I I C B I U\B B Y w w m M-XedTexts BaW LehrtxlcM Lawrence Conlon Differentiable Manifolds A First Course Birkhauser Boston Base1 Berlin Lawrence Conlon Department of Mathematics Washington University St. Louis, MO 631 30-4899 USA ]Library of Congress Cataloging-in-Publiation Data Conlon, Lawrence,1933Differentiable manifolds : a first course / Lawrence Conlon. -- Boston ; Basel ;Berlin : Birkhguser, 1993 (Basler Lehrbticher, a series of advanced textbooks in mathematics; Vol. 5) p. cm. Includes bibliographical references. ISBN 0-8176-3626-9 (hard : acid-free). -- ISBN 3-7643-3626-9 (hard : acid-free) 1. Differentiable manifolds. I. Title. QA614.3.C66 1992 92-31098 CIP 5 16.3'64~20 Printed on acid-free paper O Birkhiuser Boston 1993 Copyright is not