Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… … History of philosophy
Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… … Wikipedia
Klein geometry — In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G , which acts as the… … Wikipedia
List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 … Wikipedia
Irreducible component — In mathematics, the concept of irreducible component is used to make formal the idea that a set such as defined by the equation: XY = 0is the union of the two lines: X = 0and : Y = 0.The notion of irreducibility is stronger than connectedness.… … Wikipedia
Memory geometry — In the design of modern personal computers, memory geometry describes the internal structure of random access memory. Memory geometry is of concern to consumers upgrading their computers, since older memory controllers may not be compatible with… … Wikipedia
Gauss's lemma (Riemannian geometry) — In Riemannian geometry, Gauss s lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let M be a Riemannian manifold, equipped with its… … Wikipedia
ANOVA-simultaneous component analysis — ASCA, ANOVA SCA, or analysis of variance – simultaneous component analysis is a method that partitions variation and enables interpretation of these partitions by SCA, a method that is similar to PCA. This method is a multi or even megavariate… … Wikipedia
Scaling (geometry) — In Euclidean geometry, uniform scaling or isotropic scaling [Durand and Cutler (n.d.). [http://groups.csail.mit.edu/graphics/classes/6.837/F03/lectures/04 transformations.ppt Transformations] . Massachusetts Institute of Technology. Retrieved 12… … Wikipedia
Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia