tailieunhanh - CONFORMAL INVARIANTS TOPICS IN GEOMETRIC FUNCTION THEORY

Lars Ahlfors often spoke of his excitement as a young student listening to Rolf Nevanlinna's lectures on the new theory of meromorphic functions. It was, as he writes in his collected papers, his "first exposure to live mathematics." In his enormously influential research papers and in his equally influential books, Ahlfors shared with the reader, both professional and student, that excitement. The present volume derives from lectures given at Harvard over many years, and the topics would now be considered quite classical. At the time the book was published, in 1973, most of the results were already decades old. Nevertheless, the mathematics feels very much alive and still. | Conformal Invariants Topics in Geometric Function Theory Lars V. Ahlfors AMS CHELSEA PUBLISHING American Mathematical Society Providence Rhode Island Conformal Invariants Topics in Geometric Function Theory Lars V. Ahlfors AMS CHELSEA PUBLISHING American Mathematical Society Providence Rhode Island 2000 Mathematics Subject Classification. Primary 30-02. For additional information and updates on this book visit bookpages chel-371 Library of Congress Cataloging-in-Publication Data Ahlfors Lars V. Lars Valerian 1907-1996. Conformal invariants topics in geometric function theory Lars V. Ahlfors. p. cm. Originally published New York McGraw-Hill 1973 in series McGraw-Hill series in higher mathematics. Includes bibliographical references and index. ISBN 978-0-8218-5270-5 alk. paper 1. Conformal invariants. 2. Functions of complex variables. 3. Geometric function theory. 4. Riemann surfaces. I. Title. 2010 515 .9 dc22 2010035576 Copying and reprinting. Individual readers of this publication and nonprofit libraries acting for them are permitted to make fair use of the material such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews provided the customary acknowledgment of the source is given. Republication systematic copying or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department American Mathematical Society 201 Charles Street Providence Rhode Island 02904-2294 USA. Requests can also be made by e-mail to reprint-permission@. 1973 held by the Lars V. Ahlfors Trust of 1993. All rights reserved. Reprinted by the American Mathematical Society 2010. Printed in the United States of America. @ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. .