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 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 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 is the companion article to Teaching Geometry according to the Common
Core Standards. Topics covered includes: Basic rigid motions and
congruence, Dilation and similarity, The angle-angle criterion for similarity,
The Pythagorean Theorem, The angle sum of a triangle, Volume formulas, basic
rigid motions and assumptions, Congruence criteria for triangles, Typical
theorems, Constructions with ruler and compass.
This book explains the following topics:
Classical Geometry, Absolute (Neutral) Geometry, Betweenness and Order,
Congruence, Continuity, Measurement, and Coordinates, Elementary Euclidean
Geometry, Elementary Hyperbolic Geometry, Elementary Projective Geometry.
This is a geometry textbook that is being distributed freely on the Internet in separate segments (according to chapter).
I united the Parents Guide, the Geometry Lessons, & the tests, and compiled them into a single pdf file
This book covers the following topics:
Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines,
Polygons, Circles, Conics, Three-Dimensional Geometry.
This book is primarily an introduction to geometric concepts and tools
needed for solving problems of a geometric nature with a computer. Topics
covered includes: Logic and Computation, Geometric Modeling, Geometric Methods
and Applications, Discrete Mathematics, Topology and Surfaces.
This lecture note covers the
following topics in surface modeling: b-splines, non-uniform rational b-splines,
physically based deformable surfaces, sweeps and generalized cylinders, offsets,
blending and filleting surfaces, Non-linear solvers and intersection problems,
Solid modeling: constructive solid geometry, boundary representation,
non-manifold and mixed-dimension boundary representation models, octrees,
Robustness of geometric computations, Interval methods, Finite and boundary
element discretization methods for continuum mechanics problems, Scientific
visualization, Variational geometry, Tolerances and Inspection methods.
Author(s): Prof.
Nicholas Patrikalakis and Prof. Takashi Maekawa