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First Steps in Differential Geometry

- Riemannian, Contact, Symplectic
Af: Andrew McInerney Engelsk Hardback

First Steps in Differential Geometry

- Riemannian, Contact, Symplectic
Af: Andrew McInerney Engelsk Hardback
Tjek vores konkurrenters priser

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view.

This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

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Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view.

This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

Produktdetaljer
Sprog: Engelsk
Sider: 410
ISBN-13: 9781461477310
Indbinding: Hardback
Udgave:
ISBN-10: 146147731X
Udg. Dato: 10 jul 2013
Længde: 28mm
Bredde: 162mm
Højde: 237mm
Forlag: Springer-Verlag New York Inc.
Oplagsdato: 10 jul 2013
Forfatter(e): Andrew McInerney
Forfatter(e) Andrew McInerney


Kategori Differential- og Riemannsk geometri


ISBN-13 9781461477310


Sprog Engelsk


Indbinding Hardback


Sider 410


Udgave


Længde 28mm


Bredde 162mm


Højde 237mm


Udg. Dato 10 jul 2013


Oplagsdato 10 jul 2013


Forlag Springer-Verlag New York Inc.

Kategori sammenhænge