Polo Sport - Polo Club - Polo ponies - Players
Equipment - The field - Notable players - Handicap players
Differential Geometry And Topology
Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow.
Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models.
The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow.
The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.
Magic Ponies : A Twinkle Of Hooves
A little pony sparkling with rainbow magic. But his big wish is for a special friend!
And so Steph's lonely stable days suddenly become filled with magical fun when she meets shy little piebald pony, Comet . . .
Join Comet on even more magical pony adventures!
About the Author
Sue Bentley is the creator of the Magic Kitten series, which includes the titles Classroom Chaos, Star Dreams and Sparkling Steps. She has met and owned many cats and kittens herself. She lives in Northamptonshire.