Flavors of Geometry
by Silvio Levy
Publisher: Cambridge University Press 1997
Number of pages: 208
This book collects accessible lectures on four geometrically flavored fields of mathematics that have experienced great development in recent years: hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture course start with elementary concepts, proceeds through highlights of the field, and concludes with a taste of advanced material.
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by Maximilian Kreuzer - Technische Universitat Wien
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
by L. Henkin, P. Suppes, A. Tarski - North Holland Publishing Company
The volume naturally divides into three parts. Part I consists of 14 papers on the foundations of geometry, Part II of 14 papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.
by Robert Sharpley - University of South Carolina
This course is a study of modern geometry as a logical system based upon postulates and undefined terms. Projective geometry, theorems of Desargues and Pappus, transformation theory, affine geometry, Euclidean, non-Euclidean geometries, topology.
by Nigel Hitchin
The techniques of projective geometry provide the technical underpinning for perspective drawing and in particular for the modern version of the Renaissance artist, who produces the computer graphics we see every day on the web.