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Its authors have divided Elementary Number Theory, Group Theory and Ramanujan Graphs into four chapters. The first of these provides background in graph theory, including material on the girth of graphs (the length of the shortest cycle), on graph coloring, and on the use of the probabilistic method to prove the existence of graphs for which both the girth and the number of colors needed are ...
Number theory 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."
James Victor Uspensky (Russian: Яков Викторович Успенский, romanized: Yakov Viktorovich Uspensky; April 29, 1883 – January 27, 1947) was a Russian and American mathematician notable for writing Theory of Equations. [2] [3]
The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Vorlesungen über Zahlentheorie (German pronunciation: [ˈfoːɐ̯ˌleːzʊŋən ˈyːbɐ ˈtsaːlənteoˌʁiː]; German for Lectures on Number Theory) is the name of several different textbooks of number theory. The best known was written by Peter Gustav Lejeune Dirichlet and Richard Dedekind, and published in 1863.
Dudley is the author of books including: Elementary Number Theory (1969; 2nd ed. 1978) [7] A Budget of Trisections (1987); revised as The Trisectors (1994) [8] Mathematical Cranks (1992) [9] Numerology: Or, What Pythagoras Wrought (1997) [10] The Magic Numbers of the Professor (with Owen O'Shea, 2007) [11] A Guide to Elementary Number Theory ...
Many mathematicians then attempted to construct elementary proofs of the theorem, without success. G. H. Hardy expressed strong reservations; he considered that the essential "depth" of the result ruled out elementary proofs: No elementary proof of the prime number theorem is known, and one may ask whether it is reasonable to expect one.
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