商品簡介
This mathematical textbook by Gidea (mathematics, Northeastern Illinois U.) and Burns (mathematics, Northwestern U.) aims to provide an introduction, at the level of a beginning graduate student, to differential topology and Riemannian geometry, as well as some aspects of the related theory differential dynamics and its applications. Emphasizing interactions of dynamics, geometry, and topology, they present chapters on manifolds, vector fields and dynamical systems, Riemannian metrics, Riemannian connections and geodesics, curvature, tensors and differential forms, fixed points and intersection numbers, Morse theory, and hyperbolic systems. Where practicable, they follow conceptual explanations with significant applications, especially those related to dynamics. Annotation c2005 Book News, Inc., Portland, OR (booknews.com)
