Geometry Revealed A Jacob's Ladder to Modern Higher Geometry /

• Main Author: Berger, Marcel. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Subjects: Mathematics.; Differentiable dynamical systems.; Combinatorics.; Geometry.; Discrete groups.; Global differential geometry.; Mathematics_$xHistory.; History of Mathematics.; Convex and Discrete Geometry.; Differential Geometry.; Dynamical Systems and Ergodic Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-70997-8

Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a moder...

Table of Contents:

• Introduction
• Points and Lines in the Plane
• Circles and Spheres
• The sphere by itself: can we distribute points on it evenly?
• Conics and quadrics
• Plane curves
• Smooth surfaces 361
• Convexity and Convex Sets
• Polygons, polyhedra, polytopes
• Lattices, packings and tilings in the plane 3
• Lattices and packings in higher dimensions
• Geometry and Dynamics I: Billiards
• Geometry and dynamics II: geodesic flow on a surface
• Name Index
• Symbol Index.