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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.
Author(s): Peter Petersen
256 Pages
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.
Author(s): Ryszard Pawe Kostecki
93 Pages
An Introduction to Differential Geometry through Computation
This note explains the following topics: Linear Transformations, Tangent Vectors, The push-forward and the Jacobian, Differential One-forms and Metric Tensors, The Pullback and Isometries, Hypersurfaces, Flows, Invariants and the Straightening Lemma, The Lie Bracket and Killing Vectors, Hypersurfaces, Group actions and Multi-parameter Groups, Connections and Curvature.
Author(s): Mark E. Fels
225 Pages
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.
Author(s): Asst. Prof. Martin Raussen
160 Pages
Differential Geometry Of Three Dimensions
This book describes the fundamentals of metric differential geometry of curves and surfaces.
Author(s): C. E Weatherburn
280 Pages
Lectures on Differential Geometry (PDF 221P)
This note contains on the following subtopics of Differential Geometry, Manifolds, Connections and curvature, Calculus on manifolds and Special topics.
Author(s): Wulf Rossmann
221 Pages
Lecture Notes on Differential Geometry
This is a useful note for Differential Geometry. This note covers Curves, Surfaces and Manifolds
Author(s): Mohammad Ghomi
NA Pages
Lectures on Symplectic Geometry (PDF 225P)
This note contains on the following subtopics of Symplectic Geometry, Symplectic Manifolds, Symplectomorphisms, Local Forms, Contact Manifolds, Compatible Almost Complex Structures, Kahler Manifolds, Hamiltonian Mechanics, Moment Maps, Symplectic Reduction, Moment Maps Revisited and Symplectic Toric Manifolds.
Author(s): Ana Cannas da Silva
225 Pages
Notes on Differential Geometry
These notes are an attempt to summarize some of the key mathematical aspects of differential geometry,as they apply in particular to the geometry of surfaces in R3. Covered topics are: Some fundamentals of the theory of surfaces, Some important parameterizations of surfaces, Variation of a surface, Vesicles, Geodesics, parallel transport and covariant differentiation.
Author(s): Markus Deserno
64 Pages
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Author(s): NA
NA Pages
Lecture Notes in Differential Geometry (PS)
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Author(s): NA
NA Pages
Differential Geometry Lecture Notes
This book covers the following topics: Smooth Manifolds, Plain curves, Submanifolds, Differentiable maps, immersions, submersions and embeddings, Basic results from Differential Topology, Tangent spaces and tensor calculus, Riemannian geometry.
Author(s): Dmitri Zaitsev
49 Pages
Differential Geometry and Physics
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Functional Differential Geometry
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Author(s): NA
NA Pages
Introduction to Differential Forms
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Author(s): NA
NA Pages
Complex Manifolds and Hermitian Differential Geometry
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Author(s): NA
NA PagesAdvertisement
