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.
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.
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
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.
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.
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.
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.