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
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 note explains the following topics:
History of Greek Mathematics, Triangles, Quadrilateral, Concurrence,
Collinearity, Circles, Coordinates, Inversive Geometry, Models of Hyperbolic
Geometry, Basic Results of Hyperbolic Geometry.
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.
The book is addressed to high
school students, teachers of mathematics, mathematical clubs, and college
students.The collection consists of two parts. It is based on three Russian
editions of Prasolov’s books on plane geometry. Topics covered includes: Similar
Triangles, Inscribed Angles, Circles, Area, Polygons, Loci, Constructions,
Geometric Inequalities, Inequalities Between The Elements Of A Triangle,
Calculations And Metric Relations, Vectors, The Symmetry Through A Line,
Homothety and Rotational Homothety, Convex and Nonconvex Polygons, Divisibility,
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 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.
Nicholas Patrikalakis and Prof. Takashi Maekawa