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

• Κύριος συγγραφέας: Berger, Marcel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Geometry.; Convex geometry.; Discrete geometry.; Differential geometry.; History.; Combinatorics.; History of Mathematical Sciences.; Convex and Discrete Geometry.; Differential Geometry.; Dynamical Systems and Ergodic Theory.

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...

Πίνακας περιεχομένων:

• 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
• Convexity and convex sets
• Polygons, polyhedra, polytopes
• Lattices, packings and tilings in the plane
• Lattices and packings in higher dimensions
• Geometry and dynamics I: billiards
• Geometry and dynamics II: geodesic flow on a surface.