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	Disquisitiones Arithmeticae - Wikipedia, the free encyclopedia
		The Disquisitiones Arithmeticae is a textbook of number theory written by German mathematician Carl Friedrich Gauss and first published in 1801 when Gauss was 24.
		The Disquisitiones covers both elementary number theory and parts of the area of mathematics that we now call algebraic number theory.
		The Disquisitiones was one of the last mathematical works to be written in scholarly Latin (an English translation was not published until 1965).
	en.wikipedia.org /wiki/Disquisitiones_Arithmeticae (573 words)

	Carl Friedrich Gouss
		Some of his early discoveries were published in his Helmstadt dissertation of 1799 and in the impressive "Disquisitiones arithmeticae" of 1801.
		The "Disquisitiones arithmeticae" collected all the masterful work in number theory of Gauss' predecessors and enriched it to such an extent that the beginning of modern number theory is sometimes dated from the publication of this book.
		It was a continuation of his theory of quadratic residues in the "Disquisitiones arithmeticae," but a continuation with the aid of a new method, the theory of complex numbers.
	johan-gauss.org (2791 words)

	KARL FRIEDRICH GAUSS - LoveToKnow Article on KARL FRIEDRICH GAUSS (Site not responding. Last check: 2007-09-17)
		4to(Gtt., 1863f 871),edited by E.J.Schering (1) the Disquisitiones arithmelicae, (2) Theory of Numbers, (3) Analysis, (4) Geometry and Method of Least Squares, (5) Mathematical Physics, (6) Astronomy, and (7) the Theoria motus corporum coelestium.
		The Nachiass contains further researches on this subject, and also researches (unfortunately very fragmentary) on the lemniscate-function, andc., showing that Gauss was, even before 1800, in possession of many of the discoveries which have made the names of N. Abel and K. Jacobi illustrious.
		we have the memoirAllgemeine A uflosung, on the graphical representation of one surface upon another, and the Disquisitiones generates circa super,flcics curvas.
	5.1911encyclopedia.org /G/GA/GAUSS_KARL_FRIEDRICH.htm (896 words)

	Disquisitiones Arithmeticae (from number theory) -- Encyclopædia Britannica
		Of immense significance was the 1801 publication of Disquisitiones Arithmeticae by Carl Friedrich Gauss (1777–1855).
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	www.britannica.com /eb/article-233904 (757 words)

	Carl Friedrich Gauss
		German mathematician, born of humble parents at Brunswick on the 30th of April 1777, and was indebted for a liberal education to the notice which his talents procured him from the reigning duke.
		In 1807 he was appointed director of the Göttingen observatory, an office which he retained to his death: it is said that he never slept away from under the roof of his observatory, except on one occasion, when he accepted an invitation from Baron von Humboldt to attend a meeting of natural philosophers at Berlin.
		Gauss's collected works were published by the Royal Society of Göttingen, in seven quarto volumes, 1863-71, edited by E. Schering: (1) the Disquisitiones Arithmeticae, (2) Theory of Numbers, (3) Analysis, (4) Geometry and Method of Least Squares, (5) Mathematical Physics, (6) Astronomy, and (7) the Theoria motus corporum coelestium.
	www.nndb.com /people/363/000087102 (836 words)

	Disquisitiones Arithmeticae - TheBestLinks.com - Carl Friedrich Gauss, Europe, Euler, Fundamental theorem of ...
		Disquisitiones Arithmeticae - TheBestLinks.com - Carl Friedrich Gauss, Europe, Euler, Fundamental theorem of arithmetic,...
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	Gauss (Site not responding. Last check: 2007-09-17)
		This was the most major advance in this field since the time of Greek mathematics and was published as Section VII of Gauss's famous work, Disquisitiones Arithmeticae.
		Much of Gauss's time was spent on a new observatory, completed in 1816, but he still found the time to work on other subjects.
		His publications during this time include Disquisitiones generales circa seriem infinitam, a rigorous treatment of series and an introduction of the
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Gauss.html (2223 words)

	AllRefer.com - Carl Friedrich Gauss (Mathematics, Biography) - Encyclopedia
		Considered the greatest mathematician of his time and as the equal of Archimedes and Newton, Gauss showed his genius early and made many of his important discoveries before he was twenty.
		His greatest work was done in the area of higher arithmetic and number theory; his Disquisitiones Arithmeticae (completed in 1798 but not published until 1801) is one of the masterpieces of mathematical literature.
		Gauss was extremely careful and rigorous in all his work, insisting on a complete proof of any result before he would publish it.
	reference.allrefer.com /encyclopedia/G/Gauss-Ca.html (604 words)

	Eisenstein (Site not responding. Last check: 2007-09-17)
		As they moved from place to place Eisenstein read Disquisitiones arithmeticae and played the piano whenever it was possible.
		He worked on the theory of forms with the aim of generalising the results obtained by Gauss in Disquisitiones arithmeticae for the theory of quadratic forms.
		These two topics on which Eisenstein worked were both strongly motivated by Gauss's Disquisitiones arithmeticae and the paper [Algebraic number theory (Boston, MA, 1989), 463-469.',13)" onmouseover="window.status='Click to see reference';return true">13] discusses the copy of this work which Eisenstein owned from his days at school which is now in the mathematical library in Giessen.
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Eisenstein.html (2448 words)

	Johann Carl Friedrich Gauss (Site not responding. Last check: 2007-09-17)
		He published the book Disquisitiones Arithmeticae in the summer of 1801.
		There were seven sections, all but the last section, referred to above, being devoted to number theory.
		Disquisitiones generales circa superficies curva (1828) was his most renowned work in this field.
	www.engineering.com /content/ContentDisplay?contentId=41003015 (2106 words)

	Sho-Me Dictionary - G (Site not responding. Last check: 2007-09-17)
		Considered the greatest mathematician of his Time and the equal of Archimedes and Newton, Sir Isaac, Gauss made many discoveries before age twenty.
		His greatest work was in Number Theory; his Disquisitiones Arithmeticae (completed 1798; pub.
		In 1801 he stunned the European scientific community and earned a reputation for genious with publication of his Disquisitiones arithmeticae and calculations of the orbit (where others had failed) of the first and largest asteroid, Ceres, discovered that year.
	www.shomepower.com /dict/g/gauss_carl_friedrich.htm (863 words)

	Citations: Disquisitiones arithmeticae - Gauss (ResearchIndex) (Site not responding. Last check: 2007-09-17)
		German translation of "Disquisitiones arithmeticae", reprinted by Chelsea, N.Y., 1965.
		C.F. Gauss, Disquisitiones Arithmeticae, translated by A.A. Clarke, revised by W.C. Waterhouse, C.G. Greither, and A.W. Grootendorst, Springer{Verlag, New York 1986.
		Gauss, Disquisitiones Arithmeticae, Yale Univ. Press, New Haven, 1966.
	citeseer.ist.psu.edu /context/40817/0 (1744 words)

	Schiller Institute Email reply on Education
		In the same period he was completing his Disquisitiones Arithmeticae, young Carl Gauss presented the first of his several presentations of his discovery of the fundamental theorem of algebra.
		In the first of these he detailed the fact that his discovery of the definition and deeper meaning of the complex domain provided a comprehensive refutation of the anti-Leibniz doctrine of "imaginary numbers" which had been circulated by Euler and Lagrange.
		For people in the 18-25 bracket, I propose that they begin with a good translation, from the original Latin, of Carl Gauss's 1799 publication of his original discovery of the fundamental theorem of algebra, with the further intention of working through Gauss's Disquisitiones Arithmeticae.
	www.schillerinstitute.org /lar_related/emails_02/educ.html (2196 words)

	Search Results for Gauss (Site not responding. Last check: 2007-09-17)
		In 1842 he bought a French translation of Gauss's Disquisitiones arithmeticae and, like Dirichlet, he became fascinated by the number theory which he read there.
		He was interested in knots because of electromagnetic considerations and in a letter to Tait written on the 4 December 1867 he rediscovered an integral formula counting the linking number of two closed curves which Gauss had discovered, but had not published, in 1833.
		The term 'determinant' was first introduced by Gauss in Disquisitiones arithmeticae (1801) while discussing quadratic forms.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?BIOGS=1&TOPICS=1&CURVES=1&REFS=1&BIBLI=1&SOCIETIES=1"=1&CHRON=1&WORD=Gauss&CONTEXT=1 (9850 words)

	Earliest Uses of Symbols of Number Theory
		The citation above is from Disquisitiones arithmeticae (Leipzig, 1801), art.
		Of course Bourbaki had probably chosen the symbols by that time, but I think in fact the first appearance of (bold-face) C in Bourbaki was in the formal introduction of complex numbers in Chapter 8 of the topology book (first published in 1947).
		The symbol φ(m) for the number of integers less than m that are relatively prime to m was introduced by Carl Friedrich Gauss (1777-1855) in 1801 in his Disquisitiones arithmeticae articles 38, 39 (p.
	members.aol.com /jeff570/nth.html (1263 words)

	[No title] (Site not responding. Last check: 2007-09-17)
		Gauss' Disquisitiones Arithmeticae and 200 years of number theory since
		In the first part, I will illustrate, by various examples, the role of the Disquisitiones Arithmeticae in modeling the image of number theory throughout the 19th century.
		In the second part, I will indicate major episodes from the theory of complex multiplication, starting from the introductory remarks to chapter VII of the Disquisitiones Arithmeticae and leading, via Eisenstein, Kronecker and Hilbert's 12th problem, all the way to Shimura-Taniyama and the theory of CM-motives.
	www.math.rug.nl /~top/schappacher.html (119 words)

	DISQUISITIONES ARITHMETICAE by GAUSS, CARL F. (Site not responding. Last check: 2007-09-17)
		DISQUISITIONES ARITHMETICAE by GAUSS, CARL F. Approximate price in your chosen currency:
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	www.studentbookworld.com /BookDetail/0387962549.html (53 words)

	Disquisitiones Arithmeticae \| Bill's Outbursts
		The Disquisitiones Arithmeticae is part of our discount Book catalog.
		Used Disquisitiones Arithmeticae are in stock for only $30.00.
		Discount pricing is subject to change, in order to get the Book Disquisitiones Arithmeticae at this reduced price, you must buy now!
	billcookmusic.com /amazon/asin.0300094736.Book_Disquisitiones_Arithmeticae.html (310 words)

	[No title] (Site not responding. Last check: 2007-09-17)
		Title: Disquisitiones Arithmeticae: Projection Author: Eve11 Email: rlw146@psu.edu Category: S Rating: G Spoilers: mild fifth season Keywords: Minor character story Archive: Yes to Gossamer.
		Anyone else may do so by informing me. Summary: In projective space, even parallel lines meet at a single point.
		'Disquisitiones Arithmeticae' is a going to be a series of stand-alone stories with nothing more in common than the fact that they are mathematically inspired.
	www.squidge.org /~acacia/texts/eve11-disquisitiones.txt (3613 words)

	Schiller Institute -Pedagogy - Gauss's Fundamental Theorem of A;gebra
		In September 1798, after three years of self-directed study, the great mathematician Carl Friedrich Gauss, then 21 years old, left Göttingen University without a diploma.
		He returned to his native city of Brunswick to begin the composition of his Disquisitiones Arithmeticae, and, lacking any prospect of employment, hoped to continue receiving his student stipend.
		After several months of living on credit, word came from the Duke that the stipend would continue, provided Gauss obtained his doctor of philosophy degree—a task Gauss thought a distraction, and wished to postpone.
	www.schillerinstitute.org /educ/pedagogy/gauss_fund_bmd0402.html (3122 words)

	Tutorial Topics, Fall and Spring (2005-2006) (Site not responding. Last check: 2007-09-17)
		Description: The theory of binary quadratic forms was initiated by Fermat and culminated with Gauss Disquisitiones Arithmeticae in 1801.
		The solution to this question in Disquisitiones hints at many subsequent, fundamental developments in algebraic number theory.
		To advance further, the tutorial will develop Gauss theory of the class group and the genus theory, both from the point of view of quadratic forms and quadratic fields.
	www.math.harvard.edu /undergrad/Pamphlets/tutorial.html (1215 words)

	Bibliography
		Keywords: Disquisitiones Arithmeticae, diophantine equations, Pell's equation, quadratic forms, Gauß, Eisenstein, Siegel, congruences, applications of analysis.
		Keywords: Gauß, Disquisitiones Arithmeticae, congruences, quadratic reciprocity, binary quadratic forms, genus theory, reduction theory, ternary quadratic forms, Dirichlet, cyclotomy, Gaußian sums, higher reciprocity laws, arithmetic of algebraic numbers, Kronecker, continued fractions, prime number theorem, L-series.
		The first two hundred years of the Disquisitiones arithmeticae (1801--2001).
	www.rzuser.uni-heidelberg.de /~proquet2/bib.html (5203 words)

	Amazon.ca: The Queen of Mathematics: Books (Site not responding. Last check: 2007-09-17)
		A clearly written book that covers number theory at a graduate or advanced undergraduate level.
		Covers much of the material in Gauss's Disquisitiones, but without all the detail.
		The book covers elementary number theory, binary quadratic forms, cyclotomy, Gaussian integers, quadratic fields, ideals, algebraic curves, rational points on elliptic curves, geometry of numbers, and introduces p-adic numbers.
	www.amazon.ca /exec/obidos/ASIN/1568810067 (904 words)

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	Disquisitiones Arithmeticae Book - Reviews - Description - Martial Arts Books & Videos (Site not responding. Last check: 2007-09-17)
		Disquisitiones Arithmeticae Book - Reviews - Description - Martial Arts Books and Videos
		If I can read and understand Clarke's translation in less time than it took Gauss to write the original, I will be doing well.
		Last updated: Sun Jan 22 01:41:42 EST 2006
	www.eisshinryu.com /martial/carl-friedrich-gauss-disquisitiones-arithmeticae-asin-0300094736.html (184 words)

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