Quadratic Forms and Their Applications
by Andrew Ranicki, et al.
Publisher: American Mathematical Society 2000
Number of pages: 314
This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed.
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by Conway, Doyle, Thurston - Rutgers University, Newark
These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.
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.
by Anton Petrunin
This book is meant to be rigorous, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.
by Wong Yan Loi - National University of Singapore
Contents: A Brief History of Greek Mathematics; Basic Results in Book I of the Elements; Triangles; Quadrilaterals; Concurrence; Collinearity; Circles; Using Coordinates; Inversive Geometry; Models and Basic Results of Hyperbolic Geometry.