Introduction to Differential Geometry

Introduction to Differential Geometry КНИГИ » НАУКА И УЧЕБА

Название: Introduction to Differential Geometry
Автор: Joel W. Robbin, Dietmar A. Salamon
Издательство: Springer
Год: 2022
Формат: PDF
Страниц: 426
Размер: 10 Mb
Язык: English

This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point.
The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor.
An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory.

Скачать с Turbobit

ОТСУТСТВУЕТ ССЫЛКА/ НЕ РАБОЧАЯ ССЫЛКА ЕСТЬ РЕШЕНИЕ, ПИШИМ СЮДА!

Автор: vitvikvas 14-01-2022, 19:28 | Напечатать |

Уважаемый посетитель, Вы зашли на сайт как незарегистрированный пользователь.

С этой публикацией часто скачивают:

Linear Algebra Название: Linear Algebra Автор: Michael E. Taylor Издательство: American Mathematical Society Год: 2020 Формат: pdf Страниц: 323 Размер: 10,5 МБ...

The Structures of Mathematical Physics: An Introduction Название: The Structures of Mathematical Physics: An Introduction Автор: Steven P. Starkovich Издательство: Springer Год: 2021 Страниц: 274 Размер:...

Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts Название: Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts Автор: Tristan Needham Издательство: Princeton University Press...

Extrinsic Geometric Flows Название: Extrinsic Geometric Flows Автор: Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford Издательство: American Mathematical Society...

Differential Geometry of Manifolds, Second Edition Название: Differential Geometry of Manifolds, Second Edition Автор: Stephen Lovett Издательство: CRC Press Год: 2020 Формат: PDF Страниц: 451 Размер:...

Introduction to Symplectic Geometry Название: Introduction to Symplectic Geometry Автор: Jean-Louis Koszul and Yi Ming Zou Издательство: Springer Год: 2019 Формат: EPUB, PDF Размер: 22...

Introduction to Topology and Modern Analysis, Reprint Edition Название: Introduction to Topology and Modern Analysis, Reprint Edition Автор: George F. Simmons Издательство: Robert E. Krieger Publishing Company...

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers, Second Edition Название: Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers, Second Edition Автор: Hung Nguyen-Schafer, Jan-Philip...

Advanced Real Analysis, Digital Second Editions Название: Advanced Real Analysis, Digital Second Editions Автор: Anthony W. Knapp Издательство: Published by the Author Год: 2016 Формат: PDF...

Differential Forms and Applications Автор: Manfredo P. Do Carmo Название: Differential Forms and Applications Издательство: Springer Год: 1994 ISBN: 0387576185 Серия: Universitext Язык:...

Информация

Посетители, находящиеся в группе Гости, не могут оставлять комментарии к данной публикации.