Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Lectures on Symplectic Geometry
This note contains below topics, 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 
Hypercovers in Differential Geometry
This book contains below topics, Sites and Sheaves, Simplicial Presheaves, Strict Hypercompleteness, The Plus Construction, Applications, Augmented and Truncated Simplicial Presheaves, Verdier Sites, Matching Verdier Sites, Lurie s Lemma, Homotopical Categories, Some History.
Author(s): Cheyne Glass, Emilio Minichiello
60 Pages
Course of differential geometry
This book contains below topics, CHAPTER CUR VES IN THREEDIMENSIONAL SPACE, The length integral and the natural parametrization of a c urve, Curves as trajectories of material points in mechanics, CHAPTER ELEMENTS OF VECTORIAL AND TENSORIAL ANALYSIS, Vectorial and tensorial elds in the space, Tensor product and contraction, The algebra of tensor elds, Symmetrization and alternation, Dierentiation of tensor elds, The metric tensor and the volume pseudotensor, The properties of pseudotensors.
Author(s): Ruslan Sharipov
132 Pages
Differential Geometry by Rui Loja Fernandes
This note covers the following topics, Manifolds as subsets of Euclidean space, Abstract Manifolds, Tangent Space and the Differential, Embeddings and Whitneys Theorem, The de Rham Theorem, Lie Theory, Differential Forms, Fiber Bundles.
Author(s): Rui Loja Fernandes
NA 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 Symplectic Geometry
This note contains below topics, 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 and Lie Groups
This note covers the following topics, Matrix Exponential, Some Matrix Lie Groups, Manifolds and Lie Groups, The Lorentz Groups, Vector Fields, Integral Curves, Flows, Partitions of Unity, Orientability, Covering Maps, The LogEuclidean Framework, Spherical Harmonics, Statistics on Riemannian Manifolds, Distributions and the Frobenius Theorem, The LaplaceBeltrami Operator and Harmonic Forms, Bundles, Metrics on Bundles, Homogeneous Spaces, Cli ord Algebras, Cli ord Groups, Pin and Spin and Tensor Algebras.
Author(s): Jean Gallier
744 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