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 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 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.
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.
Tis book covers the following
topics related to the Geometry of the Sphere: Basic information about spheres, Area on the sphere, The area of a spherical
triangle, Girard's Theorem, Consequences of Girard's Theorem and a Proof of