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Mathematics. Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
Emil Grosswald. Hans Adolph Rademacher (German: [ˈʁaːdəmaxɐ]; 3 April 1892 – 7 February 1969) was a German -born American mathematician, known for work in mathematical analysis and number theory.
Elementary number theory includes topics of number theory commonly taught at the primary and secondary school level, or in college courses on introductory number theory. This category corresponds roughly to MSC 11Axx Elementary number theory; see 11Axx at MathSciNet and 11Axx at zbMATH .
Download as PDF; Printable version; From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Number theory#Elementary number theory; Retrieved from " ...
Jones was born in 1943 in Queen Charlotte's and Chelsea Hospital. She was the first member of her family to attend university. Jones contracted polio as a child and lost both of her legs at the age of ten. [1][2] Jones attended the University of Reading, where she studied mathematics and physics and graduated both with first class honours. [3]
Lifting-the-exponent lemma. In elementary number theory, the lifting-the-exponent lemma (LTE lemma) provides several formulas for computing the p-adic valuation of special forms of integers. The lemma is named as such because it describes the steps necessary to "lift" the exponent of in such expressions. It is related to Hensel's lemma.
229 pp (first edition) ISBN. 0-14-008029-5. The Penguin Dictionary of Curious and Interesting Numbers is a reference book for recreational mathematics and elementary number theory written by David Wells. The first edition was published in paperback by Penguin Books in 1986 in the UK, and a revised edition appeared in 1997 (ISBN 0-14-026149-4).
Every textbook on elementary number theory (and quite a few on algebraic number theory) has a proof of quadratic reciprocity. Two are especially noteworthy: Lemmermeyer (2000) has many proofs (some in exercises) of both quadratic and higher-power reciprocity laws and a discussion of their history. Its immense bibliography includes literature ...