Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry.
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Book by Jean-Pierre Demailly. Topics include complex geometry, coherent sheaves, and positive currents.
[PDF]
A textbook by Ruslan Sharipov (English and Russian versions).
[PDF]
Wikipedia article on this mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry.
Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
[PDF]
Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups", and "Gauge theory for fiber bundles" plus papers by the author in postscript.
Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
Lecture notes by Gabriel Lugo.
Answers.com encyclopedia entry on differential geometry.
A short historical review is made of some recent literature in the field of noncommutative geometry
Online textbook.
[PDF]
A set of postscript lecture notes for a graduate level course on Riemannian geometry.
A textbook by Ruslan Sharipov (English and Russian versions).
[PDF]
Online textbook.
[PDF]
Wikipedia article on this mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry.
Answers.com encyclopedia entry on differential geometry.
Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
[PDF]
Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups", and "Gauge theory for fiber bundles" plus papers by the author in postscript.
Book by Jean-Pierre Demailly. Topics include complex geometry, coherent sheaves, and positive currents.
[PDF]
Lecture notes by Gabriel Lugo.
Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
A short historical review is made of some recent literature in the field of noncommutative geometry
A set of postscript lecture notes for a graduate level course on Riemannian geometry.
