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.
Download or read it online for free here:
by J. E. Goodman, J. Pach, E. Welzl - Cambridge University Press
This volume includes articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.
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 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 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.