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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
132Pages
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
105Pages
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
142Pages
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
172Pages
This note covers the following topics: Points, Lines, Constructing equilateral triangle, Copying a line segment, Constructing a triangle, The Side-Side-Side congruence theorem, Copying a triangle, Copying an angle, Bisecting an angle, The Side-Angle-Side congruence theorem, Bisecting a segment, Some impossible constructions, Pythagorean theorem, Parallel lines, Squares, A proof of irrationality, Fractals.
Author(s): Wikibooks.org
72Pages
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
NAPages
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
147Pages
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
102Pages
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
NAPages
