WebNiven [3] gave a simple proof that IT is irrational. Koksma [2] modified Niven's proof to show that er is irrational for every non-zero rational r. Dixon [1] made a similar modification to show that IT is not algebraic of degree 2. In this note, we prove a general theorem which gives Niven's and Koksma's results as easy corollaries. WebAn introduction to the theory of numbers. I. Niven, H. Zuckerman. Published 1 June 1961. Mathematics. American Mathematical Monthly. Divisibility congruence quadratic reciprocity and quadratic forms some functions of number theory some diophantine equations Farey fractions and irrational numbers simple continued fractions primes and ...

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WebA Simple Proof that π is Irrational. Ivan Niven ... Download chapter PDF Authors. Ivan Niven. View author publications. You can also search for this author in PubMed Google Scholar. Rights and permissions ... Cite this chapter. Niven, I. (1997). A Simple Proof that ... WebThe approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary techniques. The last third of the … eaglets daycare

An introduction to the theory of numbers Semantic Scholar

WebReferences [ edit] ^ a b Ivan M. Niven at the Mathematics Genealogy Project. ^ MAA presidents: Ivan Niven. ^ Niven, Ivan (1947), "A simple proof that π is irrational" (PDF), Bulletin of the American Mathematical Society, vol. 53, … WebDec 15, 2009 · Irrational numbers by Ivan Morton Niven, 1963, Mathematical Association of America edition, in English It looks like you're offline. ... Irrational numbers. Edit. Overview; View 9 Editions Details; Reviews Lists; Related Books; Publish Date. 1963. Publisher. Mathematical Association of America. Webmost all the theorems on irrational numbers in Chapter II are implied by the stronger results of Chapter IX, but, whereas Chapter II requires only calculus and the barest rudiments of … eagletshirts.com