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Computational Geometry by David M. Mount
This PDF covers the following topics related to Geometry : Introduction to Computational Geometry, Warm-Up Problem: Computing Slope Statistics, Convex Hulls in the Plane, Convex Hulls: Lower Bounds and Output Sensitivity, Polygon Triangulation, Halfplane Intersection and Point-Line Duality, Linear Programming, Trapezoidal Maps, Trapezoidal Maps and Planar Point Location, Voronoi Diagrams and Fortune’s Algorithm, Delaunay Triangulations: General Properties, Delaunay Triangulations: Incremental Construction, Line Arrangements: Basic Definitions and the Zone Theorem , Hulls, Envelopes, Delaunay Triangulations, and Voronoi Diagrams , Well Separated Pair Decompositions, Geometric Sampling, VC-Dimension, and Applications, Motion Planning, Geometric Basics, Doubly Connected Edge Lists and Subdivision Intersection , etc.
Author(s): David M. Mount, Department of Computer Science, University of Maryland
189 Pages 
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
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
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