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 : 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.
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 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.
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.