Differential Geometry of Curves and Surfaces
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka.There are five chapters: 1. Plane Curves and Space Curves; 2. L
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Shoshichi Kobayashi
Differential Geometry of Curves and Surfaces
Springer Undergraduate Mathematics Series Advisory Editors M. A. J. Chaplain, St. Andrews, UK Angus MacIntyre, Edinburgh, UK Simon Scott, London, UK Nicole Snashall, Leicester, UK Endre Süli, Oxford, UK Michael R. Tehranchi, Cambridge, UK John F. Toland, Bath, UK
The Springer Undergraduate Mathematics Series (SUMS) is a series designed for undergraduates in mathematics and the sciences worldwide. From core foundational material to final year topics, SUMS books take a fresh and modern approach. Textual explanations are supported by a wealth of examples, problems and fully-worked solutions, with particular attention paid to universal areas of difficulty. These practical and concise texts are designed for a one- or two-semester course but the self-study approach makes them ideal for independent use.
More information about this series at http://www.springer.com/series/3423
Shoshichi Kobayashi
Differential Geometry of Curves and Surfaces
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Shoshichi Kobayashi (1932–2012) University of California Berkeley, USA Translated by Eriko Shinozaki Nagumo Kanagawa, Japan
Makiko Sumi Tanaka Tokyo University of Science Chiba, Japan
ISSN 1615-2085 ISSN 2197-4144 (electronic) Springer Undergraduate Mathematics Series ISBN 978-981-15-1738-9 ISBN 978-981-15-1739-6 (eBook) https://doi.org/10.1007/978-981-15-1739-6 Mathematics Subject Classification (2010): 53A04, 53A05, 53A10 Translation from the Japanese language edition: Kyokusen to Kyokumen no Bibunkika by Shoshichi Kobayashi, © Shokabo Co., Ltd. 1995. Published by Shokabo Publishing Co., Ltd. All Rights Reserved. © Springer Nature Singapore Pte Ltd. 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/
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