Differential Geometry of Curves and Surfaces, Revised and Update....pdf

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Contents

Preface to the Second Edition

Preface

Some Remarks on Using This Book

Curves

Regular Surfaces

The Geometry of the Gauss Map

The Intrinsic Geometry of Surfaces

Global Differential Geometry

Bibliography and Comments

Hints and Answers

Index

DIFFERENTIAL OF GEOMETRY CURVES & SURFACES

DIFFERENTIAL OF GEOMETRY CURVES & SURFACES Revised & Updated SECOND EDITION Manfredo P. do Carmo Instituto Nacional de Matemática Pura e Aplicada (IMPA) Rio de Janeiro, Brazil DOVER PUBLICATIONS, INC. Mineola, New York

Copyright Copyright © 1976, 2016 by Manfredo P. do Carmo All rights reserved. Bibliographical Note Differential Geometry of Curves and Surfaces: Revised & Updated Second Edition is a revised, corrected, and updated second edition of the work originally published in 1976 by Prentice-Hall, Inc., Englewood Cliffs, New Jersey. The author has also provided a new Preface for this edition. International Standard Book Number ISBN-13: 978-0-486-80699-0 ISBN-10: 0-486-80699-5 Manufactured in the United States by LSC Communications 80699501 2016 www.doverpublications.com

To Leny, for her indispensable assistance in all the stages of this book

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