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
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 
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
Principles of Differential Geometry
The present text is a collection of notes about differential geometry prepared to some extent as part of tutorials about topics and applications related to tensor calculus. This book contains below topics, Preliminaries, Curves in Space, Surfaces in Space, Curvature, Special Types of Curve, Special Types of Surface, Tensor Differentiation.
Author(s): Taha Sochi
161 Pages
This note contains below topics, Preliminaries Sets Maps and Diagrams, Groups, Manifolds, Lie Groups, Some Classical Examples of Lie Groups, Medical Applications Prediction of Injuries.
Author(s): Vladimir G. Ivancevic, Tijana T. Ivancevic
74 Pages
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
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.
Author(s): Alexander I. Bobenko
144 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