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	Gauss map - Wikipedia, the free encyclopedia
		The Jacobian of the Gauss map is equal to Gaussian curvature, and the differential of the Gauss map is called the shape operator.
		The target space for the Gauss map N is a Grassmann bundle built on the tangent bundle TM.
		The Gauss map reflects many properties of the surface: when the surface has zero Gaussian curvature, (that is along a parabolic line) the Gauss map will have a Catastrophe theory#Fold catastrophe.
	en.wikipedia.org /wiki/Gauss_map (487 words)

	Carl Friedrich Gauss - Wikipedia, the free encyclopedia
		Gauss was a child prodigy, of whom there are many anecdotes pertaining to his astounding precocity while a mere toddler, and made his first ground-breaking mathematical discoveries while still a teenager.
		Gauss was born in Brunswick, in the Duchy of Brunswick-Lüneburg (now part of Lower Saxony, Germany), as the only son of uneducated lower-class parents.
		Gauss predicted correctly the position at which it could be found again, and it was rediscovered by Franz Xaver von Zach on December 31, 1801 in Gotha, and one day later by Heinrich Olbers in Bremen.
	en.wikipedia.org /wiki/Carl_Friedrich_Gauss (2669 words)

	Biography
		Gauss was born to a bricklayer by the name of Gebhard Gauss on April 30th, 1777, in Brunswick, Germany.
		Gauss returned to Brunswick in 1799 and it was there that he got a doctorate for his proof of the Fundamental Theorem of Arithmetic in 1801.
		Gauss even figured out his own birthday, which his mother had forgotten long ago, by using just the fact that he was born 8 days before Easter in 1777.
	www.hyperhistory.net /apwh/bios/b2gauss.htm (931 words)

	Carl Friedrich Gauss (1777 - 1855) - German Mathematician, Astronomer and Physicist
		Gauss was the first to prove the fundamental theorem of algebra; in fact, he produced four entirely different proofs for this theorem over his lifetime, clarifying the concept of complex number considerably along the way.
		In 1818, Gauss started a geodesic survey of the state of Hanover, work which later led to the development of the normal distribution for describing measurement errors and an interest in differential geometry and his theorema egregrium establishing an important property of the notion of curvature.
		Gauss' personal life was overshadowed by the early death of his beloved first wife, Johanna Osthoff, in 1809, soon followed by the death of one child, Louis.
	www.germannotes.com /hist_carl_gauss.shtml (824 words)

	The Sesquicentennial of the Birth of Gauss
		Carl August was the only grandchild of the mathematician living in Germany and died at his home in Hameln on January 22, 1927; his younger son Wilhelm lived at home with him, and his daughter is the wife of Judge Noeller in Gummersbach.
		Gauss was an excellent father to his family; he loved social intercourse and conversation; in his home he was always glad whenever the simple meal was accompanied by some discussion or poetic subject.
		Gauss did not like to travel, and from 1828 (his trip to Berlin) until his death, only once did he spend a night away from the observatory, it being in 1854 when he attended the opening of a railroad and saw a locomotive for the first time.
	www.mathsong.com /cfgauss/Dunnington/1927/index.htm (5078 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 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 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).
	unx1.shsu.edu /~icc_cmf/bio/gauss.html (2215 words)

	Carl Friedrich Gauss
		On the obverse was a portrait of Carl Friedrich Gauss and the equation of his famous error curve.
		Carl Friedrich Gauss was born in 1777 into a poor family (his father was a gardener) in the German city of Braunschweig (Brunswick).
		Gauss was too much of a mathematician to fall in love with the mechanics of triangulation.
	www.surveyhistory.org /carl_friedric.htm (988 words)

	[No title]
		Gauss never published his findings, except to indicate in a famous remark in the "Disquisitiones Arithmeticae", that his method for the division of the circle could also be applied to other transcendentals, particularly the lemniscate.
		Gauss showed, that from the standpoint of the complex domain, the division of the circle into "n" parts is the problem of finding the principle that generates "n-1" means between two extremes.
		Gauss' method of the division of the circle and his generalization to the lemniscate and the elliptic functions, makes use of his clear geometrical understanding of the complex exponential.
	www.wlym.com /antidummies/part49.html (5048 words)

	Schiller Institute -Pedagogy - Gauss's Fundamental Theorem of A;gebra
		It was Gauss' unique contribution, to devise a metaphor, from which to represent these higher forms of physical action, so those actions could be represented, by their reflections, in the visible domain.
		Gauss demonstrated the physical meaning of the [[square root of]] -1, not in the visible domain of squares, but in the cognitive domain, of the principle of squaring.
		Gauss demonstrated that all algebraic powers, of any degree, when projected onto his complex domain, could be represented by an action similar to that just demonstrated for squaring.
	www.schillerinstitute.org /educ/pedagogy/gauss_fund_bmd0402.html (3122 words)

	Search Results for Gauss
		Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs.
		Gauss (who was a prodigious calculator) told a friend that whenever he had a spare 15 minutes he would spend it in counting the primes in a 'chiliad' (a range of 1000 numbers).
		Gauss had proved around 1801 that numbers of the form a + b√-1, where a, b are integers, could be written uniquely as a product of prime numbers of the form a + b√-1 in an analogous manner to the unique decomposition of an integer as a product of prime integers.
	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 (9684 words)

	Carl Friedrich Gauss - Wikiquote
		As quoted in Gauss zum Gedächtniss (1856) by Wolfgang Sartorius von Waltershausen; Variants: Mathematics is the queen of sciences and arithmetic the queen of mathematics.
		For Gauss, the jewels in the crown were the primes, numbers which had fascinated and teased generations of mathematicians.
		Gauss gave an estimate for the number of primes, Riemann predicted that the guess is at worst the square root of N off its mark, Littlewood showed that you can't do better than this.
	en.wikiquote.org /wiki/Carl_Friedrich_Gauss (1547 words)

	Carl Friedrich Gauss Papers, Cammie G. Henry Research Center (Site not responding. Last check: 2007-09-22)
		Gauss was appointed director of the University of Göttingen observatory and professor of mathematics.
		Gauss and Physicist Wilhelm Weber collaborated in 1833 to produce the electro-magnetic telegraph.
		Gauss and his achievements are commemorated in currency, stamps and monuments across Germany.
	www.nsula.edu /watson_library/gauss (333 words)

	Carl Friedrich Gauss
		His first memoir on the theory of magnetism, Intensitas vis magneticae terrestris ad mensuram absolutam revocata, was published in 1833, and he shortly afterwards proceeded, in conjunction with Wilhelm Weber, to invent new apparatus for observing the earth's magnetism and its changes; the instruments devised by them were the declination instrument and the bifilar magnetometer.
		With Weber's assistance he erected in 1833 at Göttingen a magnetic observatory free from iron (as Humboldt and F. Arago had previously done on a smaller scale), where he made magnetic observations, and from this same observatory he sent telegraphic signals to the neighboring town, thus showing the practicability of an electromagnetic telegraph.
		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.nndb.com /people/363/000087102 (836 words)

	index
		•Gauss was born on April 30, 1777 in Braunschweig and he died on February 23, 1855 in Göttingen.
		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.
	members.aol.com /kentondp/gaussindex.html (1093 words)

	The Ten Greatest Mathematicians
		Carl Friedrich Gauss, the ``Prince of Mathematics,'' exhibited his calculative powers when he corrected his father's arithmetic before the age of three.
		Gauss built the theory of complex numbers into its modern form, including the notion of ``monogenic'' functions which are now ubiquitous in mathematical physics.
		In contrast to Gauss and Newton, he was almost over-eager to publish; in his day his fame surpassed that of Gauss and has continued to grow.
	freepages.genealogy.rootsweb.com /~jamesdow/Tech/mathmen.htm (2482 words)

	Gauss his life works biography links pictures math genius 19th century mathematician astronomy drawing 17-gon or ...
		Gauss his life works biography links pictures math genius 19th century mathematician astronomy drawing 17-gon or polygon by ruler and compass only, gaussian distribution, celestial mechanics, astronomy, gaussian curvature, math research, physics, riemann hypothesis noneuclidean geometry, fundamental theorem of algebra, prime number theorem, quadratic reciprocity, complex numbers, property, california, florida
		He gave many proofs of this theoren during his life and clarified the notion of complex numbers (a+bi, where i is square root of -1).
		Gauss was conservative in his views and usually worked alone.
	www.gauss.info (351 words)

	Content - Arithmetic Series
		An old story says Gauss found the sum of the above problem, and at the same time developed a formula, in less than a few minutes when he was a young student.
		As will be shown, the method we are using today was developed by the mathematician Carl F. Gauss (1777 — 1855) when he was a young student.
		According to an old story, one day Gauss and his classmates were asked to find the sum of these first hundred counting numbers.
	www.education2000.com /demo/demo/botchtml/arithser.htm (366 words)

	Carl Friedrich Gauss
		He corresponded with Carl Wilhelm's son, William T. Gauss of Colorado Springs, CO, and my great aunt, Anne Durfee Gauss of St. Charles, MO. You will find some of that correspondence on these pages.
		This is the classical English language biography of Gauss.
		Carl Friedrich Gauss: Inaugural Lecture on Astronomy and Papers on the Foundations of Mathematics, Translated and Edited by G. Waldo Dunnington.
	www.mathsong.com /cfgauss (395 words)

	Schiller Institute -Pedagogy - Hyberbolic Functions- A Fugue Across 25 Centuries!
		Exemplary is the case of Bernhard Riemann's 1854 habilitation lecture, On the Hypotheses that Underlie the Foundations of Geometry, in which Riemann speaks of a darkness that had shrouded human thought from Euclid to Legendre.
		Surfaces that contained curves with the characteristics of the hyperbola or catenary, Gauss called ``negatively'' curved, while surfaces that were formed by curves with the characteristics of circles and ellipses, he called ``positively'' curved [2].
		It should be noted that this discovery has been the victim of such a widespread pogrom initiated by Euler, Lagrange, and carried into the 20th Century by Felix Klein et al., that the mere discussion of it with anyone exposed to an academic mathematics education, is likely to provoke severe outbreaks of anxiety.
	www.schillerinstitute.org /educ/pedagogy/hyperbolic_bmd3.html (2408 words)

	Math 101: Introductory Lab
		If not for young Gauss' incredible talent, chances are that he would have never even been exposed to the field in which he was to become a giant.
		Much to his amazement, (and annoyance) Carl brought up his slate with the answer instantly for he had already figured out the shortcut to adding up any number of consecutive integers with a tidy little formula.
		Gauss used to say, with some humor, that he could do mathematics before he could talk.
	www.ugrad.math.ubc.ca /coursedoc/math101/labs/lab1 (1444 words)

	Highbeam Encyclopedia - Search Results for Gauss, Carl Friedrich (Site not responding. Last check: 2007-09-22)
		Gauss, Carl Friedrich GAUSS, CARL FRIEDRICH [Gauss, Carl Friedrich], born Johann Friederich Carl Gauss, 1777-1855, German mathematician, physicist, and astronomer.
		Gauss was educated at the Caroline College, Brunswick, and the Univ. of Göttingen, his education and early research being financed by the Duke of Brunswick.
		Find newspaper and magazine articles plus images and maps related to "Gauss, Carl Friedrich" at HighBeam.
	www.encyclopedia.com /articles/04956.html (199 words)

	Zoom Astronomy Glossary: G
		The gauss is a unit of magnetic induction (denoted B) in the cgs system (centimeter-gram-second).
		The gauss was named for the German mathematician Johann Carl Friedrich Gauss (April 30, 1777-Feb. 23, 1855), who did work in magnetism.
		Magnetic flux is a measure of flux density (a Gauss is the magnetic flux per square centimeter).
	www.enchantedlearning.com /subjects/astronomy/glossary/indexg.shtml (3017 words)

	Reviewing the textbook 'Glencoe Pre-Algebra' (1997; Glencoe)
		Carl Friedrich Gauss, who was born in 1777 in Braunschweig, Germany, the son of a masonry foreman, was a master at exposing unsuspected connections.
		Gauss was a mathematical prodigy, and in his old age he liked to tell stories of his childhood triumphs.
		Finally, he came to Gauss' slate, on which was written a single number, 5050, with no supporting arithmetic.
	www.textbookleague.org /102fuzz.htm (5427 words)

	Riemann for Anti-dummies: introduction and critique
		When he was very young, Gauss was pretty impatient with his elders, like any brash 19-year-old genius, and he complained about the "shallowness" of the mathematics of his time, but even at that age I think he would be appalled at the views attributed to him on these pages.
		It is true that Gauss and Riemann are among the deepest thinkers of all time, and their work is as important for philosophy as it is for mathematics.
		Carl Gauss, Disquisitiones Arithmaticae - This is where much of the anti-dummies material comes from.
	www.geniebusters.org /Riemann_intro.html (11254 words)

	Who are the greatest Black Mathematicians?
		Graham: American Carl Graham, the most junior of this group and a professor at École Polytécnic in Paris, was born in the U.S. but his African American mathematician father Eugene Graham emigrated to France where Graham was raised.
		Gauss and Archimedes are the greatest mathematicians of all time, and those not even close have won Mathematics' Fields Medal or the Nevanlinna Prize.
		Though a relatively recent award, the Fields Medal is sometimes known to the public as Mathematics' Nobel Prize, but that is a misnomer as the medal is only awarded to for work completed prior to the age of 40.
	www.math.buffalo.edu /mad/madgreatest (3128 words)

	Carl Frederick Gauss (Site not responding. Last check: 2007-09-22)
		My father's mother's maiden name is Gauss, and she has traced our family history back to him.
		Gauss is my mathmatician for my math project in middle school.
		Ive done reports on Carl Gauss, and my father told me we were related to him and they dropped the final S. Also I pronounce my name .
	resources.rootsweb.com /~guestbook/cgi-bin/public_guestbook.cgi?gb=961&action=view (1796 words)

	Untitled Document
		Menaechmus showed that the intersection of an hyperbola and a parabola produces the result of placing two means between two extremes (Figure 3).
		From here we are led directly into the discovery of Gauss and Riemann through Leibniz' and Bernoulli's other catenary-related discovery: The relationship of the catenary to the hyperbola(1).
		Surfaces that contained curves with the characteristics of the hyperbola or catenary, Gauss called ``negatively'' curved, while surfaces that were formed by curves with the characteristics of circles and ellipses, he called ``positively'' curved(2).
	www.wlym.com /antidummies/part33.html (2348 words)

	Amazon.com: Disquisitiones Arithmeticae: Books: Carl F. Gauss (Site not responding. Last check: 2007-09-22)
		Carl Friedrich Gauss: Titan of Science (Spectrum) by G. Waldo Dunnington
		Reading the works of Euler, Gauss, Galois, etc., may seem out of fashion sometimes and in this case this book could be regarded as a little out of date.
		There are plenty of things Gauss may be able to tell us yet.
	www.amazon.com /exec/obidos/tg/detail/-/0387962549?v=glance (896 words)

	Economy Despite Alan Greenspan: What Connects the Dots? by Lyndon H. LaRouche, Jr. (Jan. 21, 2006)
		The modern significance of Archytas' original accomplishment, is made clearer by relevant study of the implications of Carl F. Gauss's 1799 publication of his doctoral dissertation exposing the frauds of d'Alembert, Euler, Lagrange, et al.
		The influence of Kästner, one of the two principal teachers of young Carl F. Gauss, was of crucial importance for Gauss's own contributions to the development of an anti-Euclidean, physical geometry.
		Without changing the views which he had implicitly set forth in his 1799 doctoral dissertation,[8] Gauss adhered to the same commitment to an anti-Euclidean geometry throughout his mature development; but, nonetheless, he carefully minimized the risk of making himself once again the personal target of the circles of his reductionist adversaries of 1797-1799.
	www.larouchepub.com /lar/2006/3307connect_dots.html (12830 words)

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