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Topic: Karl Gauss

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Carl Friedrich Gauss

Gauss Jordan elimination

Gauss Bonnet theorem

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Lemma of Gauss

Gauss Newton algorithm

Karl Friedrich Gauss

Gauss elimination method

Gauss crater

Gauss Legendre algorithm

Gauss sums

Topics named after Carl Friedrich Gauss

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	Gauss, Karl Friedrich (1777-1855)
		Then Gauss entered the mathematical stratosphere of his time by proving what is now called the fundamental theorem of algebra, namely, that every polynomial has at last one root that is a complex number; in fact, he gave four different proofs, the first of which appeared in his dissertation.
		Gauss also worked out the theories of perturbations that were eventually used by Urbain Leverrier and John Adams in their independent calculations that led to the discovery of Neptune.
		Gauss wanted a heptadecagon placed on his gravestone, but the carver refused, saying it would be indistinguishable from a circle.
	www.daviddarling.info /encyclopedia/G/Gauss.html (840 words)

	Karl Friedrich Gauss - LoveToKnow 1911
		KARL FRIEDRICH GAUSS (1777-1855), German mathematician, was 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.
		The volumes of their publication, Resultate aus den Beobachtungen des magnetischen Vereins, extend from 1836 to 1839; and in those for 1838 and 1839 are contained the two important memoirs by Gauss, Allgemeine Theorie des Erdmagnetismus, and the Allgemeine Lehrscitze - on the theory of forces attracting according to the inverse square of the distance.
		Gauss was well versed in general literature and the chief languages of modern Europe, and was a member of nearly all the leading scientific societies in Europe.
	www.1911encyclopedia.org /Karl_Friedrich_Gauss (861 words)

	Karl Friedrich Gauss
		Gauss was impressed and replied back to Bolyai and his father, praising the young man's work.
		Gauss was also preoccupied in other branches of math, astronomy, geodesy, and physics.
		Gauss is considered "the prince of mathematics" because his work was so wide ranged.
	www.southernct.edu /~pinciuv/mat530pr11.html (322 words)

	Carl Friedrich Gauss
		Gauss was shattered and wrote to Olbers asking him give him a home for a few weeks, to gather new strength in the arms of your friendship - strength for a life which is only valuable because it belongs to my three small children.
		Gauss was pleased to accept and took personal charge of the survey, making measurements during the day and reducing them at night, using his extraordinary mental capacity for calculations.
		Gauss was excited by this prospect and by 1840 he had written three important papers on the subject: Intensitas vis magneticae terrestris ad mensuram absolutam revocata (1832), Allgemeine Theorie des Erdmagnetismus (1839) and Allgemeine Lehrsätze in Beziehung auf die im verkehrten Verhältnisse des Quadrats der Entfernung wirkenden Anziehungs- und Abstossungskräfte (1840).
	www.shsu.edu /~icc_cmf/bio/gauss.html (2215 words)

	Carl Friedrich Gauss Summary
		Gauss gave three proofs for this: the first of these, given in his thesis, assumes that a continuous function which takes positive and negative values is necessarily zero for some value of the variable.
		Gauss was the first to adopt a rigorous approach to the treatment of infinite series, as illustrated by his treatment of the hypergeometric series.
		Gauss envisaged the possibility of developing a geometry without the parallel postulate and on one occasion even measured the angles of a triangle formed by three mountains, finding the sum to be two right angles within the limits of experimental error.
	www.bookrags.com /Carl_Friedrich_Gauss (7914 words)

	IEC - Techline > Gauss, Karl Friedrich (Site not responding. Last check: 2007-10-10)
		Prior to 1831 Gauss had worked on theoretical physics in mechanics and on theories of attraction, both based on his theory of potentials.
		Gauss had a new magnetic observatory built for this purpose and after its completion in 1833 it enabled him to achieve unprecedentedly accurate results using Weber’s sensitive magnetometers.
		The SI unit of magnetic flux is the weber, and although the official SI unit of magnetic flux density is the tesla, the non-SI unit of the gauss is still used to denote 10-4 tesla.The tesla (symbol T) is the SI derived unit of magnetic flux density (or magnetic inductivity).
	www.iec.ch /cgi-bin/tl_to_htm.pl?section=person&item=16 (347 words)

	Johann Karl Friedrich Gauss Biography \| World of Mathematics
		Gauss' formulation of the complex number system advanced number theoryso that all possible operations could be performed on all possible numbers without needing to create new ones.
		Gauss never published a proof until it was airtight, but his interests ranged so far so early in his life that he preceded Bode's Law, Janos Bolyai and N.I. Lobachevsky 's non-Euclidean geometry, Karl Jacobi's double-period elliptic functions, Augustin-Louis Cauchy's functions of a complex variable and William Hamilton's quaternions.
		Gauss entertained the idea of the curvature of all space, an idea that would be of central importance to Albert Einstein's formulation of space time as a geometric whole.
	www.bookrags.com /biography/johann-karl-friedrich-gauss-wom (1245 words)

	Karl Gauss Biography (Site not responding. Last check: 2007-10-10)
		Aged ten, Gauss almost instantly calculated the sum of all integers from 1 to 100 in his head (a feat that took his classmates an hour to get wrong) and this convinced teachers of his remarkable talent.
		Gauss was initially unsure whether to pursue maths or languages and did not make his mind up for another four years.
		Gauss died in 1855, but diaries of his found 50 years later showed what a colossal genius he was.
	www.bath.ac.uk /~ma2nsp/Biography.htm (383 words)

	Karl Gauss
		Gauss led the boarding action, and saved the life of a young woman, named Shaira, who was on board the merchant ship, bound for Slagovich, where she intended to live to avoid the Red Curse.
		Gauss caught the aranea by surprise, and some of them were in fact in spider form when he attacked.
		Gauss then realised that all the superstitious stories he had heard from the Savage Coast about all the evil spider people were in fact true - and these spider folk had killed his Shaira.
	www.pandius.com /kgauss.html (822 words)

	Gauss
		Born in 1777 in Germany, Gauss was a child prodigy.
		Gauss was able to prove that every number is the sum of at most three triangular numbers.
		Gauss was infact the man who arrived at the conclusions about Euclid's Fifth Postulate and could disprove for certain cases.
	members.tripod.com /noneuclidean/gauss.html (297 words)

	Gauss biography
		Gauss began corresponding with Bessel, whom he did not meet until 1825, and with Sophie Germain.
		Gauss was married for a second time the next year, to Minna the best friend of Johanna, and although they had three children, this marriage seemed to be one of convenience for Gauss.
		Gauss used the Laplace equation to aid him with his calculations, and ended up specifying a location for the magnetic South pole.
	www-gap.dcs.st-and.ac.uk /~history/Biographies/Gauss.html (2226 words)

	Great Mathematicians - Karl Gauss
		Gauss was among rare great people who demonstrated his geniality at very early age.
		He wasn’t even three years old when he pointed to a mistake his father made in one calculation.
		He kept the diary until the end of his life and it contained 146 short notes, each of which represented one chapter from mathematics.
	tesla.rcub.bg.ac.yu /~flora/gauss.html (153 words)

	Johann Karl Frederick Gauss
		Johann Gauss was born in Brunswick, Germany in 1777 to a poor, uneducated family.
		From 1795 to 1798 Gauss attended the University of Gottingen.
		Gauss also developed a method for measuring the horizontal intensity of the magnetic field.
	home.southernct.edu /~ruggierok4/mat530project.html (811 words)

	Gauss
		Gauss was very brilliant mathematically from an early age.
		There are various stories that are often told about Karl's early life that demonstrate his early mathematical ability.
		Nevertheless Karl quickly found the solution to the problem while the rest of the students struggled through the arithmetic.
	www.math.sjsu.edu /~roper/mathtopics/cerealbox/gauss.html (500 words)

	Gauss
		"When Gauss was ten years old, his brutish school teacher gave his class the job of calculating the sum of the 100 numbers from 81297 + 81495 + 81693 +...
		Büttner was so astonished at what the boy of ten had done without instruction that he promptly redeemed himself, and to at least one of his pupils became a humane teacher.
		Gauss himself was strongly attracted to philological studies, but fortunately for science, he was to find a more compelling attraction in mathematics."
	www.geocities.com /rnseitz/Gauss.html (432 words)

	Untitled (Site not responding. Last check: 2007-10-10)
		In recognition of his work in the latter field, the unit of magnetic field intensity is today called the 'gauss' and perhaps most fundamental theorem of electrostatics is still know as 'Gauss' Theorem.
		Gauss' most important work on the theory of numbers was the book Disquisitions Arithmeticae which appeared, when he was still but 24 years old, in the year of 1801.
		It was in the opening sections of this book that Gauss first introduced the theory of congruences, those clock numbers that even since have put their stamp on virtually all research in number theory.
	pages.poly.edu /~snaray01/gauss.html (629 words)

	gauss - Definition, Synonyms, and Reference from OnPedia.com
		gauss - a unit of magnetic flux density equal to 1 maxwell per square centimeter
		microgauss - a unit of magnetic flux density equal to one millionth of a gauss
		Gauss - German mathematician who developed the theory of numbers and who applied mathematics to electricity and magnetism and astronomy and geodesy (1777-1855)
	www.onpedia.com /dictionary/gauss (93 words)

	index
		Gauss first proved his mathematical genius when he was not even three years old.
		Gauss’ prediction of where the planet would reappear was published along with several others, in which his was very different.
		•Gauss had no need of a job because the Duke of Brunswick was supporting him until 1806 when the duke died fighting in the army.
	members.aol.com /kentondp/gaussindex.html (1093 words)

	Tellings of the Gauss Anecdote
		Gauss was born a poor boy, the son of a bricklayer, in Braunschweig, Germany.
		Gauss had noticed that the sum in question was simply 50 times the sum 101 of the various pairs 1 and 100, 2 and 99, 3 and 98,...
		Gauss' teacher set the class the task of adding all the numbers from 1 to 100 on purpose to keep them busy for a long time, while the teacher would go to work at his vegetable garden, it was an urgent job.
	www.sigmaxi.org /amscionline/gauss-snippets.html (20119 words)

	Gauss
		During this time, Gauss did not have access to a good library on mathematics and as a result rediscovered many accepted theorems.
		The University of Helmstedt granted Gauss a Ph.D. for his essay that gave the first proof of the basic theorem of algebra in 1799.
		To fulfill his sense of public loyalty, Gauss undertook a geodetic study of his country did much of the work himself.
	www.meta-religion.com /Mathematics/Biography/gauss.htm (407 words)

	Carl Friedrich Gauss
		I notice that Gauss is listed in many text books as Karl.
		A picture of Gauss graced the German 10DM note for many years, as shown to the right.
		One famous story about Gauss as a child was that a teacher asked Gauss' class to add all the whole numbers between 1 and 100, hoping that it would take the class some time to complete the assignment.
	www.spontaneousmaterials.com /CFGauss.htm (272 words)

	Biografia de Karl Friedrich Gauss
		En esos años Gauss maduró sus ideas sobre geometría no euclidiana, esto es, la construcción de una geometría lógicamente coherente que prescindiera del postulado de Euclides de las paralelas; aunque no publicó sus conclusiones, se adelantó en más de treinta años a los trabajos posteriores de Lobachewski y Bolyai.
		Otras áreas de la física que Gauss estudió fueron la mecánica, la acústica, la capilaridad y, muy especialmente, la óptica, disciplina sobre la que publicó el tratado Investigaciones dióptricas (1841), en las cuales demostró que un sistema de lentes cualquiera es siempre reducible a una sola lente con las características adecuadas.
		Fue tal vez la última aportación fundamental de Karl Friedrich Gauss, un científico cuya profundidad de análisis, amplitud de intereses y rigor de tratamiento le merecieron en vida el apelativo de «príncipe de los matemáticos».
	www.biografiasyvidas.com /biografia/g/gauss.htm (347 words)

	Human Intelligence: Karl Friedrich Gauss
		The true extent of his gifts became manifest at age 3 when he announced, loudly and in public, that his father’s payroll calculations were incorrect.
		The Gauss-Markov Theorem states that for a combination of two or more linear variables meeting the assumptions of uncorrelated errors with equal variance and expected values of zero, the least squares coefficient estimates of the resulting regression line are BLUE (Best Linear Unbiased Estimates).
		Gauss, C. Theoria motus corporum coelestium in sectioibus conicis solem ambientium.
	www.iub.edu /%7Eintell/gauss.shtml (439 words)

	The Gauss Pesach Formula
		The Gauss Pesach formula maps the first day of Pesach for some Hebrew year "A" onto its equivalent Julian date.
		And I believe that the relationship stops holding for Pesach after the year 59,918g (63,677h), when the first day of Pesach is first seen to fall on January 1.
		Shocken points out that Gauss eliminated the Molad Zakein rule considerations by adding 6 hours (.25 days) to the values to be generated by the formula.
	www.geocities.com /Athens/1584/gauss.html (505 words)

	Weber (Site not responding. Last check: 2007-10-10)
		Gauss and Weber organized a network of observation stations in 1836-41 to correlate measurements of terrestrial magnetism made around the world.
		Gauss and his young assistant, Wilhelm Weber, devised a new apparatus, the electrodynamometer, which could directly measure, to within fractions of a second of arc, the angular displacement produced in a multiply wound electric coil by another electrical coil perpendicular to it.
		The units of Gauss and Weber were adopted at an international conference in Paris in 1881.
	chem.ch.huji.ac.il /~eugeniik/history/weber.html (2364 words)

	Carl Friedrich Gauss
		I notice that Gauss is listed in many text books as Karl.
		A picture of Gauss graced the German 10DM note for many years, as shown to the right.
		One famous story about Gauss as a child was that a teacher asked Gauss' class to add all the whole numbers between 1 and 100, hoping that it would take the class some time to complete the assignment.
	spontaneousmaterials.com /CFGauss.htm (272 words)

	gauss - definition by dict.die.net (Site not responding. Last check: 2007-10-10)
		gauss n 1: a unit of magnetic flux density equal to 1 maxwell per square centimeter 2: German mathematician who developed the theory of numbers and who applied mathematics to electricity and magnetism and astronomy and geodesy (1777-1855) [syn: Gauss, Karl Gauss, Karl Friedrich Gauss]
		[So named after Karl F. Gauss, a German mathematician.] (Elec.) The C.G.S. unit of density of magnetic field, equal to a field of one line of force per square centimeter, being thus adopted as an international unit at Paris in 1900; sometimes used as a unit of intensity of magnetic field.
		A good loudspeaker coil magnet flux density is of the order of 10 000 gauss.
	dict.die.net /gauss (129 words)

	gauss
		One gauss is a magnetic flux density of 1 maxwell per square centimeter.
		In the United States after 1900, for example, the gauss was used for B and the gilbert per centimeter for H. To add to the confusion, in 1895 the British Assn. Committee on Electrical Standards tentatively recommended that the cgs unit of magnetomotive force be called the gauss.
		At its meeting in Stockholm in 1930 the Advisory Committee on Nomenclature of the International Electrotechnical Commission eliminated all ambiguity by adopting the gauss for the unit of magnetic flux density and the oersted for the unit of magnetic field strength.
	www.sizes.com /units/gauss.htm (474 words)

	Anecdote - [Johann] Karl Friedrich ["Prince of Mathematics"] Gauss - Karl Friedrich Gauss: Average Student?
		"At school, Gauss showed little of his precocious talent until the age of nine, when he was admitted to the arithmetic class.
		The master had set what appeared to be a complicated problem involving the addition of a series of numbers in arithmetical progression.
		Gauss, [Johann] Karl Friedrich ["Prince of Mathematics"] (1777-1855) German mathematician
	www.anecdotage.com /index.php?aid=2547 (291 words)

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