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
Lecture Notes for Algebraic Geometry
This note covers notation, What is algebraic geometry, Affine algebraic varieties, Projective algebraic varieties, Sheaves, ringed spaces and affine algebraic varieties, Algebraic varieties, Projective algebraic varieties, revisited, Morphisms, Products, Dimension, The fibres of a morphism, Sheaves of modules, Hilbert polynomials and Bezouts theorem, Products of preschemes, Proj and projective schemes, More properties of schemes, More properties of schemes, Relative differentials, Locally free sheaves and vector bundles, Cartier divisors, Rational equivalence and the chow group, Proper push forward and flat pull back, Chern classes of line bundles.
Author(s): Leonardo Constantin Mihalcea
132 Pages
Foundations of Geometry by David Hilbert
This PDF book covers the following topics related to Geometry : The Five Groups of Axioms, the Compatibility and Mutual Independence of the Axioms, the Theory of Proportion, the Theory of Plane Areas, Desargues’s Theorem, Pascal’s Theorem, Geometrical Constructions Based Upon the Axioms I-V.
Author(s): David Hilbert, Ph. D. Professor of Mathematics, University of Göttingen
105 Pages
Computational Geometry Lecture Notes
This lecture note explains the following topics: Polygons, Convex Hull, Plane Graphs and the DCEL, Line Sweep, The Configuration Space Framework, Voronoi Diagrams, Trapezoidal Maps, Davenport-Schinzel Sequences and Epsilon Nets.
Author(s): Bernd Gartner and Michael Hoffmann
172 Pages
This note is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Author(s): Acellus School
147 Pages
Topics in Geometry Dirac Geometry Lecture Notes
This is an introductory note in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry.
Author(s): Prof. Marco Gualtieri
NA Pages
Teaching Geometry in Grade 8 and High School According to the Common Core Standards
This is the companion article to Teaching Geometry according to the Common Core Standards. Topics covered includes: Basic rigid motions and congruence, Dilation and similarity, The angle-angle criterion for similarity, The Pythagorean Theorem, The angle sum of a triangle, Volume formulas, basic rigid motions and assumptions, Congruence criteria for triangles, Typical theorems, Constructions with ruler and compass.
Author(s): Hung-Hsi Wu
202 Pages
This note explains the following topics: Vectors, Cartesian Coordinates, The Scalar Product, Intersections of Planes and Systems of Linear Equations, Gaubian Elimination and Echelon Form, Vector Product, Matrices, Determinants, Linear Transformations, Eigenvectors and Eigenvalues.
Author(s): Dr J. N. Bray
NA Pages
This book explains the following topics: Classical Geometry, Absolute (Neutral) Geometry, Betweenness and Order, Congruence, Continuity, Measurement, and Coordinates, Elementary Euclidean Geometry, Elementary Hyperbolic Geometry, Elementary Projective Geometry.
Author(s): Oleg A. Belyaev
256 Pages
This book covers the following topics: Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines, Polygons, Circles, Conics, Three-Dimensional Geometry.
Author(s): Silvio Levy
NA Pages
The Eightfold Way The Beauty of Klein's Quartic Curve(1999)
This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects.
Author(s): Silvio Levy
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
