Differential Geometry and Topology:
With a View to
Dynamical Systems,
by Keith Burns and Marian Gidea,
Chapman & Hall/CRC
Click ON the picture to
order a copy of the book:
EDITORIAL REVIEWS:
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.
CORRECTIONS AND ADDITIONS:
A link to a pdf file containing the latest corrections
and additions.
