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Classical Differential Geometry Peter Petersen

Classical Differential Geometry Peter Petersen

Classical Differential Geometry Peter Petersen

This book explains the following topics: General Curve Theory, Planar Curves, Space Curves, Basic Surface Theory, Curvature of Surfaces, Surface Theory, Geodesics and Metric Geometry, Riemannian Geometry, Special Coordinate Representations.

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s256 Pages
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Classical Differential Geometry Peter Petersen

Classical Differential Geometry Peter Petersen

This book explains the following topics: General Curve Theory, Planar Curves, Space Curves, Basic Surface Theory, Curvature of Surfaces, Surface Theory, Geodesics and Metric Geometry, Riemannian Geometry, Special Coordinate Representations.

s256 Pages
Differential Geometry in Toposes

Differential Geometry in Toposes

This note explains the following topics: From Kock–Lawvere axiom to microlinear spaces, Vector bundles,Connections, Affine space, Differential forms, Axiomatic structure of the real line, Coordinates and formal manifolds, Riemannian structure, Well-adapted topos models.

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Discrete Differential Geometry

Discrete Differential Geometry

This note covers the following topics: Discrete Curves, Curves and curvature, Flows on curves, Elastica, Darboux transforms, Discrete Surfaces, Abstract discrete surfaces, Polyhedral surfaces and piecewise flat surfaces, Discrete cotan Laplace operator, Delaunay tessellations, Line congruences over simplicial surfaces, Polyhedral surfaces with parallel Gauss map, Willmore energy.

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Elementary Differential Geometry Curves and Surfaces

Elementary Differential Geometry Curves and Surfaces

The purpose of this course note is the study of curves and surfaces , and those are in general, curved. The book mainly focus on geometric aspects of methods borrowed from linear algebra; proofs will only be included for those properties that are important for the future development.

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Lectures on Differential Geometry (PDF 221P)

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Lecture Notes on Differential Geometry

Lecture Notes on Differential Geometry

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