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2018
Among the four mathematical treatises that Avicenna takes care to place within his philosophical encyclopaedia (al-Shifā’), the one he devotes to arithmetic is undoubtedly the most singular. Contrary to the treatise on geometry, which differs little from its Euclidean model, the philosopher takes as his point of departure the treatise of Nicomachus of ...
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Among the four mathematical treatises that Avicenna takes care to place within his philosophical encyclopaedia (al-Shifā’), the one he devotes to arithmetic is undoubtedly the most singular. Contrary to the treatise on geometry, which differs little from its Euclidean model, the philosopher takes as his point of departure the treatise of Nicomachus of ...
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Nature, 1940
(1)THIS is a systematic text-book on the elements of the theory of numbers, intended for beginners. The greater part of it deals with the usual elementary topics: divisibility, the H.C.F. process, congruences, and binary quadratic forms (but without the classical theory of reduction and equivalence).
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(1)THIS is a systematic text-book on the elements of the theory of numbers, intended for beginners. The greater part of it deals with the usual elementary topics: divisibility, the H.C.F. process, congruences, and binary quadratic forms (but without the classical theory of reduction and equivalence).
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1989
Number theory is the second large field of mathematics that comes to us from the Pythagoreans via Euclid. The Pythagorean theorem led mathematicians to the study of squares and sums of squares; Euclid drew attention to the primes by proving that there are infinitely many of them.
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Number theory is the second large field of mathematics that comes to us from the Pythagoreans via Euclid. The Pythagorean theorem led mathematicians to the study of squares and sums of squares; Euclid drew attention to the primes by proving that there are infinitely many of them.
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A course in computational algebraic number theory
Graduate texts in mathematics, 1993H. Cohen
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Additive Number Theory via Automata Theory
Theory of Computing Systems, 2019A. Rajasekaran, J. Shallit, Tim Smith
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