diophantine geometry oor Sjinees
diophantine geometry
Vertalings in die woordeboek Engels - Sjinees
丟番圖幾何
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
Serge Lang published Diophantine geometry in 1962 and Mordell wrote a critical review of it two years later.
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He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations.
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When I first saw [Lang's Diophantine geometry ], about a year ago, I was disgusted with the way in which my own contributions to the subject had been disfigured and made unintelligible.
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Other major themes of his work were p-adic numbers, p-adic Diophantine approximation , geometry of numbers (a term coined by Minkowski to describe the mathematics of packings and coverings) and measure on polynomials.
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His early work was on number theory and he wrote on Diophantine inequalities and the geometry of numbers.
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There he was influenced by Mordell to become interested in both the geometry of numbers and Diophantine approximation .
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These topics are: prime numbers; congruences and the quadratic reciprocity law; continued fractions; irrational, algebraic and transcendental numbers; quadratic fields; arithmetical functions, their order of magnitude and the Dirichlet or power series which generate them; partitions and representations of numbers as sums of squares, cubes and higher powers; Diophantine approximation; and the geometry of numbers.
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It gave an elementary account of his work on the geometry of numbers and of its applications to the theories of Diophantine approximation and of algebraic numbers.
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Some of the many topics that he covered were diophantine approximations, orders of linear homogeneous groups, theory of geometry of numbers, approximate solutions of the integers of a set of linear equations, low-velocity fire angle, finite collineation groups, and characteristic roots.
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