About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 119. Chapters: Projective plane, Stereographic projection, Hyperplane, Mobius transformation, Projective linear group, Homogeneous coordinates, Projective space, Plucker coordinates, Complex projective space, Riemann sphere, Cross-ratio, Fubini-Study metric, SL2(R), Duality, Grassmannian, Real projective line, Projective orthogonal group, Five points determine a conic, Inverse curve, 3D projection, Dual curve, Direct linear transformation, Desargues' theorem, Cayley-Bacharach theorem, Real projective space, Pascal's theorem, Fano plane, Inversive ring geometry, Semilinear transformation, Bloch sphere, PSL(2,7), Collineation, Pole and polar, Incidence, Homography, Pappus's hexagon theorem, Quadric, Near-field, Line at infinity, Projective harmonic conjugate, Schwarzian derivative, Differential invariant, Segre embedding, Oval, Complete quadrangle, Gnomonic projection, Pentagram map, Plane at infinity, Quaternionic projective space, Translation plane, Planar ternary ring, Affine Grassmannian, Cayley-Klein metric, Oriented projective geometry, Complex projective plane, Point at infinity, Hyperplane at infinity, Intersection theorem, Maximal arc, Projective frame, Imaginary line, Projectivization, Brianchon's theorem, Braikenridge-Maclaurin theorem, Moufang plane, W-curve, Desmic system, Klein quadric, Projective differential geometry, Birkhoff-Grothendieck theorem, Real point, Circular points at infinity, Projective cone, Non-Desarguesian plane, Cayley plane, Ovoid, Isotropic line, Hughes plane, Correlation, Polar hypersurface, Imaginary point, Reciprocity, Imaginary curve, Real curve. Excerpt: In geometry, a Mobius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad bc 0. Mobius transformations are named in honor of August F...
