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.

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.

This note is intended for students who have
a background in multivariable calculus and some experience in proof-based
mathematics. Topics covered includes: Euclidean geometry, Polygons,
Triangulations and Tilings, The Chord Theorem, Tangrams and Scissors Congruence,
Spherical Geometry, Hyperbolic geometry, Euclids axioms and the parallel
postulate, Incidence geometry and Hyperbolic isometries.

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.

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 reading guide
to the field of geometric structures on 3–manifolds. The approach is to
introduce the reader to the main definitions and concepts, to state the
principal theorems and discuss their importance and inter-connections, and to
refer the reader to the existing literature for proofs and details.

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: Algebraic Nahm transform for parabolic Higgs
bundles on P1, Computing HF by factoring mapping classes, topology of ending
lamination space, Asymptotic behaviour and the Nahm transform of doubly periodic
instantons with square integrable curvature, FI-modules over Noetherian rings,
Hyperbolicity in Teichmuller space, A knot characterization and 1–connected
nonnegatively curved 4–manifolds with circle symmetry.

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.