The Axiomatic Method
by L. Henkin, P. Suppes, A. Tarski
Publisher: North Holland Publishing Company 1959
Number of pages: 508
The thirty-three papers in this volume constitute the proceedings of an international symposium on The axiomatic method, with special reference to geometry and physics. The volume naturally divides into three parts. Part I consists of fourteen papers on the foundations of geometry, Part II of fourteen papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.
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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 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.
by Sigurdur Helgason - Birkhauser Boston
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications.
by John C. Polking - Rice University
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.