Functional Differential Geometry
by Gerald Jay Sussman, Jack Wisdom
Publisher: MIT 2005
Number of pages: 77
Description:
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with unclear and informal symbol manipulation. To address this problem we use computer programs to communicate a precise understanding of the computations in differential geometry.
Download or read it online for free here:
Download link
(440KB, PDF)
Similar books
Natural Operations in Differential Geometryby Ivan Kolar, Peter W. Michor, Jan Slovak - Springer
A comprehensive textbook on all basic structures from the theory of jets. It begins with an introduction to differential geometry. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces.
(18446 views)
Algebraic geometry and projective differential geometryby Joseph M. Landsberg - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(18196 views)
Notes on Symmetric Spacesby Jonathan Holland, Bogdan Ion - arXiv
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
(10931 views)
Manifolds: Current Research Areasby Paul Bracken (ed.) - InTech
Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas.
(8326 views)