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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
Geometry for elementary school
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
72 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
