Druck auf Anfrage Neuware - Printed after ordering - 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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Bibliographic Details

Title: First Steps in Differential Geometry : Riemannian, Contact, Symplectic
Publisher: Springer New York, Springer US
Publication Date: 2015
Language: English
ISBN 10: 1489990461
ISBN 13: 9781489990464
Binding: Taschenbuch
Condition: Neu
Dimensions: 235 millimeters width by 155 millimeters height by 24 millimeters depth
Weight: 645 grams

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Unlike other texts in differential geometry, this book develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. Emphasizes the consequences of a definition and the use of examples and constructions.

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Andrew McInerney is a mathematics professor at Bronx Community College of the City University of New York.

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