A quantity dedicated to the tremendous transparent and intrinsically attractive concept of two-dimensional surfaces in Euclidean areas. the main target is at the connection among the speculation of embedded surfaces and two-dimensional Riemannian geometry, and the impact of houses of intrinsic metrics at the geometry of surfaces.
Read Online or Download Geometry III: Theory of Surfaces (Encyclopaedia of Mathematical Sciences) (v. 3) PDF
Similar Differential Geometry books
This ebook is an exposition of the means of surgical procedure on simply-connected tender manifolds. Systematic research of differentiable manifolds utilizing those principles used to be all started via Milnor  and Wallace  and built broadly within the final ten years. it really is now attainable to offer a pretty whole conception of simply-connected manifolds of size ~ five utilizing this technique and that's what i'm going to attempt to start the following.
Thomas Cecil is a math professor with an unrivalled snatch of Lie Sphere Geometry. right here, he presents a transparent and finished glossy therapy of the topic, in addition to its functions to the research of Euclidean submanifolds. It starts with the development of the gap of spheres, together with the basic notions of orientated touch, parabolic pencils of spheres, and Lie sphere ameliorations.
This detailed monograph by way of a famous UCLA professor examines intimately the maths of Kerr black holes, which own the houses of mass and angular momentum yet hold no electric cost. appropriate for complex undergraduates and graduate scholars of arithmetic, physics, and astronomy in addition to expert physicists, the self-contained remedy constitutes an advent to trendy innovations in differential geometry.
"Brings to the reader a major quantity of data, good prepared and condensed into lower than 2 hundred pages. " — Mathematical ReviewsIn contemporary a long time twistor idea has develop into a huge concentration for college students of mathematical physics. imperative to twistor conception is the geometrical rework often called the Penrose rework, named for its groundbreaking developer.
Extra info for Geometry III: Theory of Surfaces (Encyclopaedia of Mathematical Sciences) (v. 3)