
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
Ricci Flow and the Poincare Conjectureby John Morgan, Gang Tian - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(16989 views)
Functional Differential Geometryby Gerald Jay Sussman, Jack Wisdom - MIT
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
(13429 views)
The Convenient Setting of Global Analysisby Andreas Kriegl, Peter W. Michor - American Mathematical Society
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.
(16135 views)
Projective and Polar Spacesby Peter J. Cameron - Queen Mary College
The author is concerned with the geometry of incidence of points and lines, over an arbitrary field, and unencumbered by metrics or continuity (or even betweenness). The treatment of these themes blends the descriptive with the axiomatic.
(14369 views)