A Course In Differential Geometry
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A Course In Differential Geometry
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Author : W. Klingenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Course In Differential Geometry written by W. Klingenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentioned in the Preface to the German Edition. Suitable references for ordin ary differential equations are Hurewicz, W. Lectures on ordinary differential equations. MIT Press, Cambridge, Mass., 1958, and for the topology of surfaces: Massey, Algebraic Topology, Springer-Verlag, New York, 1977. Upon David Hoffman fell the difficult task of transforming the tightly constructed German text into one which would mesh well with the more relaxed format of the Graduate Texts in Mathematics series. There are some e1aborations and several new figures have been added. I trust that the merits of the German edition have survived whereas at the same time the efforts of David helped to elucidate the general conception of the Course where we tried to put Geometry before Formalism without giving up mathematical rigour. 1 wish to thank David for his work and his enthusiasm during the whole period of our collaboration. At the same time I would like to commend the editors of Springer-Verlag for their patience and good advice. Bonn Wilhelm Klingenberg June,1977 vii From the Preface to the German Edition This book has its origins in a one-semester course in differential geometry which 1 have given many times at Gottingen, Mainz, and Bonn.
A Course In Differential Geometry
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Author : Thierry Aubin
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
A Course In Differential Geometry written by Thierry Aubin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This textbook for second-year graduate students is an introduction to differential geometry with principal emphasis on Riemannian geometry. The author is well-known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory.
A Course In Differential Geometry And Lie Groups
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Author : S. Kumaresan
language : en
Publisher: Springer
Release Date : 2002-01-15
A Course In Differential Geometry And Lie Groups written by S. Kumaresan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-15 with Mathematics categories.
A Course In Differential Geometry
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Author : Wilhelm Klingenberg
language : en
Publisher:
Release Date : 1983
A Course In Differential Geometry written by Wilhelm Klingenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
A Course Of Differential Geometry
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Author : John Edward Campbell
language : en
Publisher:
Release Date : 1926
A Course Of Differential Geometry written by John Edward Campbell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1926 with Geometry, Differential categories.
A First Course In Differential Geometry
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Author : Chuan-Chih Hsiung
language : en
Publisher: International Press of Boston
Release Date : 1997
A First Course In Differential Geometry written by Chuan-Chih Hsiung and has been published by International Press of Boston this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This textbook on differential geometry is designed for graduate and undergraduate students. It covers both curves and surfaces in three-dimensional education space but can be extended to higher dimensions and other surfaces. It can be used for either one semester or a full-year course.
A First Course In Differential Geometry
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Author : Izu Vaisman
language : en
Publisher: CRC Press
Release Date : 2020-11-26
A First Course In Differential Geometry written by Izu Vaisman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Mathematics categories.
This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.
A Course Of Differential Geometry
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Author : Edward Campbell John
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
A Course Of Differential Geometry written by Edward Campbell John and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Course Of Differential Geometry
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Author : John Edward Campbell
language : en
Publisher:
Release Date : 1926
A Course Of Differential Geometry written by John Edward Campbell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1926 with Geometry, Differential categories.
Differential Geometry And Lie Groups
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Author : Jean Gallier
language : en
Publisher: Springer Nature
Release Date : 2020-08-18
Differential Geometry And Lie Groups written by Jean Gallier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-18 with Mathematics categories.
This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many modern applications. Beginning with an in-depth study of tensors and differential forms, the authors go on to explore a selection of topics that showcase these tools. An analytic theme unites the early chapters, which cover distributions, integration on manifolds and Lie groups, spherical harmonics, and operators on Riemannian manifolds. An exploration of bundles follows, from definitions to connections and curvature in vector bundles, culminating in a glimpse of Pontrjagin and Chern classes. The final chapter on Clifford algebras and Clifford groups draws the book to an algebraic conclusion, which can be seen as a generalized viewpoint of the quaternions. Differential Geometry and Lie Groups: A Second Course captures the mathematical theory needed for advanced study in differential geometry with a view to furthering geometry processing capabilities. Suited to classroom use or independent study, the text will appeal to students and professionals alike. A first course in differential geometry is assumed; the authors’ companion volume Differential Geometry and Lie Groups: A Computational Perspective provides the ideal preparation.