First Steps in Differential Geometry: Riemannian, Contact, Symplectic
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.

1136503346
First Steps in Differential Geometry: Riemannian, Contact, Symplectic
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.

69.99 In Stock
First Steps in Differential Geometry: Riemannian, Contact, Symplectic

First Steps in Differential Geometry: Riemannian, Contact, Symplectic

by Andrew McInerney
First Steps in Differential Geometry: Riemannian, Contact, Symplectic

First Steps in Differential Geometry: Riemannian, Contact, Symplectic

by Andrew McInerney

Paperback(Softcover reprint of the original 1st ed. 2013)

$69.99 
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Overview

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.


Product Details

ISBN-13: 9781489990464
Publisher: Springer New York
Publication date: 08/05/2015
Series: Undergraduate Texts in Mathematics
Edition description: Softcover reprint of the original 1st ed. 2013
Pages: 410
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

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

Table of Contents

Basic Objects and Notation.- Linear Algebra Essentials.- Advanced Calculus.- Differential Forms and Tensors.- Riemannian Geometry.- Contact Geometry.- Symplectic Geometry.- References.- Index.
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