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
Euclidean Geometry by Rich Cochrane and Andrew McGettigan
This is a great mathematics book cover the following topics: Equilateral Triangle, Perpendicular Bisector, Angle Bisector, Angle Made by Lines, The Regular Hexagon, Addition and Subtraction of Lengths, Addition and Subtraction of Angles, Perpendicular Lines, Parallel Lines and Angles, Constructing Parallel Lines, Squares and Other Parallelograms, Division of a Line Segment into Several Parts, Thales' Theorem, Making Sense of Area, The Idea of a Tiling, Euclidean and Related Tilings, Islamic Tilings.
Author(s): Rich Cochrane and Andrew McGettigan
102 Pages 
Lecture Notes on Comparison Geometry
This note contains below topics, Solutions of Jacobi Equations, Model Spaces Hessian Cosine Law, Local Comparison Theorems, Global Toponogov Comparison Theorems, Appliction of Toponogov s Comparison Theorem, Manifolds of Nonnegative Curvature, CheegerGromoll Soul Theorem, CheegerGromoll Soul Conjecture, CheegerGromoll Splitting Theorem, CheegerGromoll Covering Theorem, BishopGromov Volume Comparison, GromovHausdorff Convergence of Metric Spaces, Alexandrov Spaces, GrovePeterson Homotopy Type Theorem.
Author(s): Xinze Li
265 Pages
Lecture Notes on Spin Geometry
This note contains below topics, and promote it to spin structures and spinor b undles over manifolds In, The precise analytical denitions will be given in, Indices indicating t he grading are always understood mod, The complex volume element is independent of the choice of basis.
Author(s): Konstantin Wernli
108 Pages
Lectures on generalized geometry
This note contains below topics, The Courant bracket Bfields and metrics, Spinors twists and skew torsion, Generalized complex manifolds, Generalized Kahler manifolds, Generalized holomorphic bundles, Holomorphic bundles and the Bfield action.
Author(s): Nigel Hitchin
52 Pages
Lectures on Finslerian Geometry
This note contains below topics, Calculus of variations, Review of differential calculus on Banach spaces, The minimum problem, EulerLagrange equations in finite dimension, Hamiltonian description, The Noether theorem, The Linear Sigma model, Hadamard s variation formula for the Green s function, Symplectic Geometry, Symplectic Manifolds, Symplectic form on the Cotangent Bundle of a Manifold, Finslerian Geometry, Finsler Metric, Formulas in Riemannian Geometry, Review of Tensor calculus, Locally Minkowski space.
Author(s): Oumar Wone
75 Pages
Lecture notes on the symplectic geometry of graded manifolds and higher Lie groupoids
These notes study symplectic structures on graded manifolds and their global counterparts, higher Lie groupoids. They start with graded manifolds, then symplectic Q manifolds and Lagrangian Q submanifolds, and then the shifted symplectic structure on higher Lie groupoids.
Author(s): Miquel Cueca, Antonio Maglio, Fabricio Valencia
88 Pages
Lectures on birational geometry
This note contains below topics, it is lc or dlt i each coecient of B is, It is klt i each of coecient of B is, It is canonical or terminal i B, The latter paper also settles most cases in dimension.
Author(s): Caucher Birkar
85 Pages
This PDF book covers the following topics related to Geometry, Introduction, Construction of the Euclidean plane, Transformations, Tricks of the trade, Concurrence and collinearity, Circular reasoning, Triangle trivia, Quadrilaterals, Geometric inequalities, Inversive and hyperbolic geometry, Projective geometry.
Author(s): Kiran S. Kedlaya
142 Pages
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. Topics covered includes, Lines Angles and Triangles, m Congruent Triangles, Quadrilaterals, Similar Triangles, Trigonometry of The Right Triangle, Area and Perimeter, Regular Polygons and Circles, Values of The Trigonometric Functions.
Author(s): Henry Africk
NA Pages