

This section contains free ebooks and guides on Geometry, some of the resources in this section can be viewed online and some of them can be downloaded.





Geometry in Two DimensionsIan BiringerPDF  133 Pages  EnglishThis note is intended for students who have
a background in multivariable calculus and some experience in proofbased
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.
 Teaching Geometry in Grade 8 and High School According to the Common Core StandardsHungHsi
WuPDF  202 Pages  EnglishThis 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 angleangle 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.
 Hyperbolic Geometry by Charles WalkdenCharles WalkdenPDF  247 Pages  EnglishPurpose 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 GaussBonnet Theorem,
Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The
signature of a Fuchsian group, Limit sets of Fuchsian groups, Classifying
elementary Fuchsian groups, Nonelementary Fuchsian groups.
 An Introduction to GeometryWong Yan LoiPDF  140 Pages  EnglishThis 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.
 College GeometryCsaba Vincze and Laszlo KozmaPDF  231 Pages  EnglishThis note covers the
following topics: Elementary Geometry, Basic facts in geometry, triangles,
Classical problems I, Quadrilaterals, Polygons, Circles, Geometric
transformations, Longitudes and latitudes, Analytical Geometry, Cartesian Co
ordinates in a Plane, Vectors, Rectangular Cartesian Co ordinates in Space, A
Plane and a Straight Line.
 Geometry LecturesDr
J. N. BrayOnline  NA Pages  EnglishThis 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.
 Fundamentals of GeometryOleg A. BelyaevPDF  256 Pages  EnglishThis 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 Way To GeometryPeter RamusOnline  NA Pages  EnglishThis book is part of the tredition classics
series.This book was full of good information. It will help you get a better
grasp on a challenging topic.
 Problems In Plane And Solid GeometryViktor PrasolovPDF  495 Pages  EnglishThe 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,
Invariants, Colorings.
 Geometric structures on 3manifoldsFrancis BonahonPDF  77 Pages  EnglishThis 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 interconnections, and to
refer the reader to the existing literature for proofs and details.
 Discovering Geometry Text Book With Parent's Guide and Tests Cibeles
Jolivette GonzalezOnline  NA Pages  EnglishThis 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
 Geometry and TopologyNAOnline  NA Pages  EnglishThis
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, FImodules over Noetherian rings,
Hyperbolicity in Teichmuller space, A knot characterization and 1–connected
nonnegatively curved 4–manifolds with circle symmetry.
 The Geometry of the SphereJohn
C. Polking, Rice UniversityOnline  NA Pages  EnglishTis 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
Euler's formula.
 Geometry Formulas and FactsSilvio
Levy Online  NA Pages  EnglishThis book covers the following topics:
Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines,
Polygons, Circles, Conics, ThreeDimensional Geometry.
 Intrinsic Geometry of SurfacesJeff
Knisley, Dept. of Math, East Tennessee State UniversityPDF  17 Pages  EnglishThis note
covers the following topics: The Fundamental Form of a Surface, Normal
Curvature, Gaussian Curvature and The Poincare HalfPlane.
  Geometry, Topology, Geometric ModelingJean
GallierOnline  NA Pages  EnglishThis 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.
 Computational Geometry by MITProf.
Nicholas Patrikalakis and Prof. Takashi MaekawaOnline  NA Pages  EnglishThis lecture note covers the
following topics in surface modeling: bsplines, nonuniform rational bsplines,
physically based deformable surfaces, sweeps and generalized cylinders, offsets,
blending and filleting surfaces, Nonlinear solvers and intersection problems,
Solid modeling: constructive solid geometry, boundary representation,
nonmanifold and mixeddimension 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.
 THREEDIMENSIONAL GEOMETRY  Geometry and Group Theory  Computational Geometry  Riemann surfaces, dynamics and geometry Course Notes  Geometric Asymptotics 








