{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. [1913 Webster]
The Collaborative International Dictionary of English. 2000.
Diophantine analysis — noun (mathematics) The part of algebra concerned with finding particular rational values for general expressions under a surd form • • • Main Entry: ↑Diophantine … Useful english dictionary
Diophantine — Di o*phan tine, a. Originated or taught by Diophantus, the Greek writer on algebra. [1913 Webster] {Diophantine analysis} (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given… … The Collaborative International Dictionary of English
Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… … Wikipedia
Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… … Wikipedia
p-adic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers. The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… … Wikipedia
P-adic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers.The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… … Wikipedia
List of harmonic analysis topics — This is a list of harmonic analysis topics, by Wikipedia page. See also list of Fourier analysis topics and list of Fourier related transforms, which are more directed towards the classical Fourier series and Fourier transform of mathematical… … Wikipedia
Local analysis — In mathematics, the term local analysis has at least two meanings both derived from the idea of looking at a problem relative to each prime number p first, and then later trying to integrate the information gained at each prime into a global… … Wikipedia
Di|o|phan|tine analysis — «DY uh FAN tyn, teen, tihn», analysis of Diophantine equations to determine the presence and nature of integral solutions. ╂[< Diophantus of Alexandria, Greek mathematician of the 200 s A.D.] … Useful english dictionary
History of algebra — Elementary algebra is the branch of mathematics that deals with solving for the operands of arithmetic equations. Modern or abstract algebra has its origins as an abstraction of elementary algebra. Historians know that the earliest mathematical… … Wikipedia
