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

Geometry Category
Geometry Books
 Geometry in Two DimensionsIan BiringerPDF | 133 Pages | EnglishThis 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. Teaching Geometry in Grade 8 and High School According to the Common Core StandardsHung-Hsi 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 angle-angle 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 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. 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 inter-connections, 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, FI-modules 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, Three-Dimensional 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 Half-Plane. The Eightfold Way The Beauty of Klein's Quartic Curve(1999)Silvio LevyOnline | NA Pages | EnglishThis book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects. 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: 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. THREEDIMENSIONAL GEOMETRY Geometry and Group Theory Computational Geometry Riemann surfaces, dynamics and geometry Course Notes Geometric Asymptotics