Disquisitiones Arithmeticae (Latin for Arithmetical Investigations) is a textbook on number theory written in Latin by Carl Friedrich Gauss in 1798, when Gauss was 21, and published in 1801, when he was 24. It had a revolutionary impact on number theory by making the field truly rigorous and systematic and paved the path for modern number theory. In this book, Gauss brought together and reconciled results in number theory obtained by such eminent mathematicians as Fermat, Euler, Lagrange, and Legendre, while adding profound and original results of his own.
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DisquisitionesArithmeticae (Latin for Arithmetical Investigations) is a textbook on number theory written in Latin by Carl Friedrich Gauss in 1798, when...
several mathematical theorems. Gauss completed his masterpieces DisquisitionesArithmeticae and Theoria motus corporum coelestium as a private scholar. He...
the fundamental theorem of arithmetic. Article 16 of Gauss' DisquisitionesArithmeticae is an early modern statement and proof employing modular arithmetic...
modulo n. Gauss defined primitive roots in Article 57 of the DisquisitionesArithmeticae (1801), where he credited Euler with coining the term. In Article...
Dirichlet, and crediting both him and Sophie Germain). In his DisquisitionesArithmeticae (1798), Carl Friedrich Gauss (1777–1855) proved the law of quadratic...
arithmetic was developed by Carl Friedrich Gauss in his book DisquisitionesArithmeticae, published in 1801. A familiar use of modular arithmetic is in...
Gauss, who referred to it as the "fundamental theorem" in his DisquisitionesArithmeticae and his papers, writing The fundamental theorem must certainly...
doi:10.1090/s0025-5718-1986-0815848-x. Zbl 0586.10003. The DisquisitionesArithmeticae has been translated from Gauss's Ciceronian Latin into English...
was first introduced and used by Carl Friedrich Gauss in his DisquisitionesArithmeticae of 1801. Gauss illustrates the Chinese remainder theorem on a...
century. One of the founding works of algebraic number theory, the DisquisitionesArithmeticae (Latin: Arithmetical Investigations) is a textbook of number...
Orient Blackswan, 2004. p. 67. ISBN 81-7371-454-1 Gauss's book DisquisitionesArithmeticae has been translated from Latin into English and German. The German...
Joachim (2007), The Shaping of Arithmetic after C.F. Gauss's DisquisitionesArithmeticae, Springer, p. 21, ISBN 978-3-540-34720-0. Cajori (2013), p. 34...
canonically chosen reduced form. Carl Friedrich Gauss (1801) The DisquisitionesArithmeticae is a profound and masterful book on number theory written by...
studied by Brouncker, Euler and Lagrange. In 1801 Gauss published DisquisitionesArithmeticae, a major portion of which was devoted to a complete theory of...
are of the form "Gauss, BQ, § n". Footnotes referencing the DisquisitionesArithmeticae are of the form "Gauss, DA, Art. n". Gauss, Carl Friedrich (1828)...
DisquisitionesArithmeticae. Article 36. pp. 16–17. Yale University Press. (in English) Gauss, Carl Frederich (1801). DisquisitionesArithmeticae. Article...
Friedrich Gauss developed the theory of Gaussian periods in his DisquisitionesArithmeticae and formulated a sufficient condition for the constructibility...
renewed when she read Carl Friedrich Gauss' monumental work DisquisitionesArithmeticae. After three years of working through the exercises and trying...
residues, but the first systematic treatment is § IV of Gauss's DisquisitionesArithmeticae (1801). Article 95 introduces the terminology "quadratic residue"...
persistence Lychrel number Perfect digital invariant Happy number DisquisitionesArithmeticae "On the Number of Primes Less Than a Given Magnitude" Vorlesungen...
"ΕΥΡΗΚΑ! num = Δ + Δ + Δ", and published a proof in his book DisquisitionesArithmeticae. For this reason, Gauss's result is sometimes known as the Eureka...
completeness of lists) are harder. The problems are posed in Gauss's DisquisitionesArithmeticae of 1801 (Section V, Articles 303 and 304). Gauss discusses imaginary...
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