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

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

Editorial Reviews
Book Description
Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. The authors' intuitive approach forms a treatment that is comprehensible to relative beginners, yet rigorous enough for professional mathematicians. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, integration on manifolds, intersection theory provide the foundation for many applications in dynamical systems and mechanics. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow.

Differential Geometry and Topology (Studies in Advanced Mathematics),Keith Burns,Marian Gidea,Chapman & Hall/CRC,1584882530,Applied,Differentiable dynamical systems,Differential topology,General,Geometry - Differential,Geometry - General,Geometry, Differential,Mathematics,Number Theory,Science/Mathematics,Mathematics / Geometry / General

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