Definition of Diophantine analysis. Meaning of Diophantine analysis. Synonyms of Diophantine analysis

Here you will find one or more explanations in English for the word Diophantine analysis. Also in the bottom left of the page several parts of wikipedia pages related to the word Diophantine analysis and, of course, Diophantine analysis synonyms and on the right images related to the word Diophantine analysis.

Definition of Diophantine analysis

Diophantine analysis
Diophantine Di`o*phan"tine, a. Originated or taught by Diophantus, the Greek writer on algebra. Diophantine analysis (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x^2 + y^2 an exact square.

Meaning of Diophantine analysis from wikipedia

- algebra. The mathematical study of Diophantine problems that Diophantus initiated is now called Diophantine analysis. While individual equations present...
- today. Today, Diophantine analysis is the area of study where integer (whole-number) solutions are sought for equations, and Diophantine equations are...
- recurrence relation for generating solutions to certain instances of Diophantine equations of the second degree such as Nx2 + 1 = y2 (called Pell's equation)...
- Fermatschen Satzes. Leipzig: Brandstetter. Carmichael RD (1915). Diophantine Analysis. New York: Wiley. van der Corput JG (1915). "Quelques formes quadratiques...
- In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became...
- conjecture, which has been called "the most important unsolved problem in Diophantine analysis". M****er was born on 8 November 1948 in London, England. He graduated...
- monkey and the coconuts is a mathematical puzzle in the field of Diophantine analysis that originated in a short story involving five sailors and a monkey...
- conjecture which has been called "the most important unsolved problem in diophantine analysis". He is a member of Bourbaki. Joseph Oesterlé at the Mathematics...
- described the abc conjecture as "The most important unsolved problem in Diophantine analysis". The abc conjecture originated as the outcome of attempts by Oesterlé...
- algebra. The mathematical study of Diophantine problems that Diophantus initiated is now called Diophantine analysis. An algebraic number is a number that...