Introduction to differential manifolds, Lafontaine, Jacques

Автор: Tu, Loring W.
Название: Introduction to manifolds
ISBN: 1441973990 ISBN-13(EAN): 9781441973993
Издательство: Springer
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Описание: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.

Автор: Berger, Marcel Gostiaux, Bernard
Название: Differential geometry: manifolds, curves, and surfaces
ISBN: 146126992X ISBN-13(EAN): 9781461269922
Издательство: Springer
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Описание: The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics.

Автор: Baillon Paul
Название: Differential Manifolds
ISBN: 9814449563 ISBN-13(EAN): 9789814449564
Издательство: World Scientific Publishing
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Описание: Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.