£130.00

Qualitative Theory of Differential Equations - Mathematics Book

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Description

Explore advanced mathematical concepts with Qualitative Theory of Differential Equations. This specialized text published by the American Mathematical Society provides a deep look into complex geometric structures. It covers essential topics such as Subriemannian geometries, also known as Carnot-Caratheodory geometries, which act as limits of Riemannian geometries. Readers will find detailed discussions on physical phenomena involving geometric phases or holonomy. The book explains how a subriemannian geometry consists of a manifold endowed with a distribution, specifically a k-plane field or subbundle of the tangent bundle, along with an inner product on that distribution. By understanding these foundational principles, students and researchers can better grasp the relationship between k-dimensional distributions and standard Riemannian geometry where k equals the dimension of the manifold. This resource is designed for those studying mathematical analysis and differential equations.

Key Features

Covers Subriemannian geometries and their relationship to Carnot-Caratheodory geometries.

Explains the connection between Riemannian geometries and their limits.

Provides insight into physical phenomena involving geometric phases and holonomy.

Detailed analysis of manifolds endowed with distributions and k-plane fields.

Academic publication from the American Mathematical Society for reliable study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
06 September 2007
Listed Since
20 June 2007

Barcode

No barcode data available

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