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Teaching Geometry in Grade 8 and High School According to the Common Core Standards
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.
Author(s): Hung-Hsi Wu
202 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
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
Teaching Geometry in Grade 8 and High School According to the Common Core Standards
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.
Author(s): Hung-Hsi Wu
202 Pages
Hyperbolic Geometry by Charles Walkden
Purpose of this note is to provide an introduction to some aspects of hyperbolic geometry. Topics covered includes: Length and distance in hyperbolic geometry, Circles and lines, Mobius transformations, The PoincarŽe disc model, The Gauss-Bonnet Theorem, Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The signature of a Fuchsian group, Limit sets of Fuchsian groups, Classifying elementary Fuchsian groups, Non-elementary Fuchsian groups.
Author(s): Charles Walkden
247 Pages
This note explains the following topics: Vectors, Cartesian Coordinates, The Scalar Product, Intersections of Planes and Systems of Linear Equations, Gaubian Elimination and Echelon Form, Vector Product, Matrices, Determinants, Linear Transformations, Eigenvectors and Eigenvalues.
Author(s): Dr J. N. Bray
NA Pages
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.
Author(s): Oleg A. Belyaev
256 Pages
Discovering Geometry Text Book With Parent's Guide and Tests
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
Author(s): Cibeles Jolivette Gonzalez
NA Pages
This book covers the following topics: Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines, Polygons, Circles, Conics, Three-Dimensional Geometry.
Author(s): Silvio Levy
NA Pages
The Eightfold Way The Beauty of Klein's Quartic Curve(1999)
This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects.
Author(s): Silvio Levy
NA Pages
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
NA Pages
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NA Pages
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Riemann surfaces, dynamics and geometry Course Notes
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Author(s): NA
NA Pages
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Author(s): NA
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