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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 Poincar´e 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 
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
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
Computational Geometry Lecture Notes
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.
Author(s): Bernd Gartner and Michael Hoffmann
172 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