First Steps in Differential Geometry - Riemannian, Contact, Symplectic (Paperback, Softcover reprint of the original 1st ed. 2013)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	August 2015
First published:	2013
Authors:	Andrew McInerney
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Paperback
Pages:	410
Edition:	Softcover reprint of the original 1st ed. 2013
ISBN-13:	978-1-4899-9046-4
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Promotions
LSN:	1-4899-9046-1
Barcode:	9781489990464

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!