Geometry I: Basic Ideas and Concepts of Differential Geometry, Hardcover edition

Alekseevskii, Dmitrii Vladimirovich;Gamkrelidze, R. V.;Vinogradov, A. M.;Lychagin, V. V.

ISBN 10: 3540519998 / ISBN 13: 9783540519997

Published by Springer-Verlag, 1991

About this Item

**INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.

Seller Inventory # ABE-8061193003

Bibliographic Details

• Title: Geometry I: Basic Ideas and Concepts of Differential Geometry, Hardcover edition
• Publisher: Springer-Verlag
• Publication Date: 1991
• Language: English
• ISBN 10: 3540519998
• ISBN 13: 9783540519997
• Binding: Soft cover
• Edition: International Edition
• Condition: New
• Dust Jacket Condition: New

About this title

Synopsis

Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes. In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geomerty. The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators. Several of the topics are approaches which are now enjoying a resurgence, e.g. G-structures and contact geometry. As an overview of the major current methods of differential geometry, EMS 28 is a map of these different ideas which explains the interesting points at every stop. The authors' intention is that the reader should gain a new understanding of geometry from the process of reading this survey.

Language Notes

Text: English (translation)
Original Language: Russian