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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
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Algebraic Geometry
Arithmetic Geometry
Differential Geometry
Modern Geometry
Fractals
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The Geometry Of K3 Surfaces

PDF | 72 Pages | English
This is a course note about K3 surfaces and several related topics.

 
Geometric structures on 3manifolds

PDF | 77 Pages | English
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.

 
Discovering Geometry Text Book With Parent's Guide and Tests

Online | NA Pages | English
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

 
Geometry Lecture Notes (PDF 85P)

PDF | 85 Pages | English
This is not a complete set of lecture notes for Geometry. This note covers: Logic, Sets, Functions, Numbers, Toy Geometries, Axioms for Euclidean Geometry, Review of Elementary Plane Euclidean Geometry, Non-Euclidean Geometry, Analytic Geometry: the Complex Plane, Transformations and Geometry.

 
Geometry and Topology

Online | NA Pages | English
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.

 
The Geometry of the Sphere

Online | NA Pages | English
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 Euler's formula.

 
Geometry Formulas and Facts

Online | NA Pages | English
This book covers the following topics: Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines, Polygons, Circles, Conics, Three-Dimensional Geometry.

 
Intrinsic Geometry of Surfaces

PDF | 17 Pages | English
This 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)

Online | NA Pages | English
This 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 Modeling

Online | NA Pages | English
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.

 
Computational Geometry by MIT

Online | NA Pages | English
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.

 
A Tour of Triangle Geometry
THREEDIMENSIONAL GEOMETRY
Geometry and Group Theory
Computational Geometry
Riemann surfaces, dynamics and geometry Course Notes
Geometric Asymptotics
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