Diophantine approximations

См. также в других словарях:

• Diophantine approximation — In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The absolute value of the difference between the real number to be approximated and… …   Wikipedia

• 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

• Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

• Serge Lang — (* 19. Mai 1927 in Saint Germain en Laye bei Paris; † 12. September 2005 in Berkeley, USA) war ein Mathematiker französischer Herkunft, der den größten Teil seines Lebens in den USA lebte. Bekannt wurde er vor allem durch seine Arbeiten zur… …   Deutsch Wikipedia

• Dirichlet's approximation theorem — In number theory, Dirichlet s theorem on Diophantine approximation, also called Dirichlet s approximation theorem, states that for any real number α and any positive integer N, there exists integers p and q such that 1 ≤ q ≤ N and This is a… …   Wikipedia

• Diophantus — For the general, see Diophantus (general). Title page of the 1621 edition of Diophantus Arithmetica, translated into Latin by Claude Gaspard Bachet de Méziriac. Diophantus of Alexandria (Greek: Διόφαντος ὁ Ἀλεξανδρεύς XD. b. between 200 and 214… …   Wikipedia

• Proof that 22/7 exceeds π — Proofs of the famous mathematical result that the rational number 22⁄7 is greater than π date back to antiquity. What follows is a modern mathematical proof that 22⁄7 > π, requiring only elementary techniques from calculus. The purpose is not… …   Wikipedia

• Square root of 5 — The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. This number appears in the formula for the golden ratio. It can be denoted in surd form as::sqrt{5}.It is an irrational algebraic number.… …   Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• Serge Lang — Infobox Scientist name = Serge Lang box width = 26em image width = 250px caption = Serge Lang (1927 2005) birth date = birth date|1927|5|19 birth place = Paris, France death date = death date and age|2005|9|12|1927|5|19 death place = Berkeley,… …   Wikipedia

• Paul Vojta — (* 30. September 1957) ist ein US amerikanischer Mathematiker, der auf dem Gebiet der Zahlentheorie und arithmetischen algebraischen Geometrie arbeitet. Paul Vojta 2008 Leben und Werk Vojta studierte zunächst an der University of Minnesota… …   Deutsch Wikipedia