Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics) - Image 1

£87.50

American Mathematical Society Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)

Name: Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)
Brand: American Mathematical Society
Price: 87.5 GBP
Availability: InStock

Geometry & Topology

Price History & Forecast

Last 37 days • 37 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 37 days • 1 price levels

Days at Price

Price Analysis

Most common price: £88 (37 days, 100.0%)

Price range: £88 - £88

Price levels: 1 different prices over 37 days

Description

Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to $G$-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.

Product Specifications

Brand: American Mathematical Society
Format: Hardcover
ASIN: 1470409860
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 December 2016
Listed Since: 18 October 2016

Barcode

No barcode data available

American Mathematical Society Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

From Frenet to Cartan: The Method of Moving Frames (Graduate Studies in Mathematics)

An Introduction to CR Structures (Mathematical Surveys and Monographs)

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Differential Geometry and Topology: With a View to Dynamical Systems (Studies in Advanced Mathematics)

Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics)

Lectures On The Geometry Of Manifolds (2Nd Edition)

Curves and Surfaces (Graduate Studies in Mathematics): 2nd Edition

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

Geometry VI: Riemannian Geometry: 91 (Encyclopaedia of Mathematical Sciences, 91)

Differential Geometry: Basic Notions and Physical Examples (Mathematical Engineering)

Discrete Differential Geometry: Integrable Structure (Graduate Studies in Mathematics)

Ordinary Differential Equations and Dynamical Systems (Graduate Studies in Mathematics)

Geometry of Manifolds (AMS Chelsea Publishing) (Chelsea Publications)

Geometric Structures on Manifolds (Graduate Studies in Mathematics)

Differential Geometry of Manifolds (Textbooks in Mathematics)

Introduction to Differential Geometry (Springer Studium Mathematik (Master))

Differentiable Manifolds (Modern Birkhäuser Classics)

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers (Mathematical Engineering)

Parabolic Geometries: Background and General Theory v. 1 (Mathematical Surveys and Monographs)

A Course in Metric Geometry: 33 (Graduate Studies in Mathematics)

Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones)