# Abelian differential

- абелев дифференциал

*English-Russian dictionary of technical terms.
2014.*

### Смотреть что такое "Abelian differential" в других словарях:

**Differential of the first kind**— In mathematics, differential of the first kind is a traditional term used in the theories of Riemann surfaces (more generally, complex manifolds) and algebraic curves (more generally, algebraic geometry), for everywhere regular differential 1… … Wikipedia**Differential (calculus)**— In mathematics, and more specifically, in differential calculus, the term differential has several interrelated meanings.Basic notions* In traditional approaches to calculus, the differential (e.g. dx, dy, dt, etc...) of a function represents an… … Wikipedia**Abelian**— Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian … Wikipedia**Differential form**— In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… … Wikipedia**Abelian variety**— In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… … Wikipedia**Differential (mathematics)**— In mathematics, the term differential has several meanings. Contents 1 Basic notions 2 Differential geometry 3 Algebraic geometry 4 Other meanings … Wikipedia**Abelian integral**— In mathematics, an abelian integral in Riemann surface theory is a function related to the indefinite integral of a differential of the first kind. Suppose we are given a Riemann surface S and on it a differential 1 form ω that is everywhere… … Wikipedia**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**Quadratic differential**— In mathematics, a quadratic differential is a form on a Riemann surface that locally looks like the square of an abelian differential. It has (at least) two other interpretations that are useful in the study of Riemann surfaces: * a flat… … Wikipedia**Ordinary differential equation**— In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… … Wikipedia**Quadratic**— In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms. Quadratus is Latin for square . Mathematics Algebra… … Wikipedia

### Книги

- Theory of Lie Groups (PMS-8), Volume 8, Claude Chevalley, This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To… Категория: Научная литература Подробнее Купить за 9802 руб
- Linear Algebra and Geometry, Alexey Remizov, David P. Kramer, Igor R. Shafarevich, This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic… Категория: Научная литература Подробнее Купить за 8677 руб
- Functionals of Finite Riemann Surfaces, Donald Clayton Spencer, Menahem Schiffer, An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the… Категория: Научная литература Подробнее Купить за 8477 руб