Topics in Geometry
by John O'Connor
Publisher: University of St Andrews 2003
Contents: Foundations; The linear groups; Examples of linear groups; Isometries of Rn; Isometries of the line; Isometries of the plane; Isometries in 3 dimensions; Symmetry groups in the plane; Frieze groups; Platonic solids; Finite symmetry groups of R3; Full finite symmetry groups in R3; Affine geometry; Affine theorems; Similarity geometry; Projective spaces; etc.
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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 S. E. Payne - University of Colorado Denver
The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.
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 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.