Topics in Finite Geometry: Ovals, Ovoids and Generalized Quadrangles
by S. E. Payne
Publisher: University of Colorado Denver 2007
Number of pages: 945
The present book grew out of notes written for a course by the same name taught by the author during the Academic Year 2004 – 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.
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by Silvio Levy - Cambridge University Press
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.
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 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.
by John O'Connor - University of St Andrews
Contents: Foundations; Linear groups; Isometries of Rn; Isometries of the line; Isometries of the plane; Isometries in 3 dimensions; Symmetry groups in the plane; Platonic solids; Finite symmetry groups of R3; Full finite symmetry groups in R3; etc.