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 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 Christopher Cooper - Macquarie University
The geometry part of the text includes an introductory course on projective geometry and some chapters on symmetry. The topology part consists of geometric and combinatorial topology and includes material on the classification of surfaces, and more.
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 Michael Frame, Benoit Mandelbrot, Nial Neger - Yale University
This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.