
Synthetic Geometry of Manifolds
by Anders Kock
Publisher: University of Aarhus 2009
Number of pages: 314
Description:
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
Download or read it online for free here:
Download link
(1.9MB, PDF)
Similar books
Triangles, Rotation, a Theorem and the Jackpotby Dave Auckly - arXiv
This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
(11030 views)
Combinatorial Geometry with Application to Field Theoryby Linfan Mao - InfoQuest
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
(17960 views)
Probability, Geometry and Integrable Systemsby Mark Pinsky, Bjorn Birnir - Cambridge University Press
The three main themes of this book are probability theory, differential geometry, and the theory of integrable systems. The papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems.
(18572 views)
Cusps of Gauss Mappingsby Thomas Banchoff, Terence Gaffney, Clint McCrory - Pitman Advanced Pub. Program
Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.
(18053 views)