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Topic: Paul Albert Gordan

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	PAUL GORDAN (Site not responding. Last check: 2007-10-19)
		Paul Albert Gordan, a mathematician at the University of Erlangen, was a close friend of Max Noether, and Emmy Noether was Gordan's only doctoral student.
		Besides her father, Gordan must have been well-nigh one of the most familiar figures in Emmy's early life, first as a friend of the house, later as a mathematician also; she kept a profound reverence for him though her own mathematical taste soon developed in quite a different direction.
		Gordan was known as the "king of invariant theory," having proved a famous theorem by explicitly constructing a finite rational integral basis for binary invariants.
	faculty.evansville.edu /ck6/bstud/gordan.html (378 words)

	Gordan biography
		Gordan did not undertake the bulk of this work at Giessen, however, for he moved to Erlangen in 1874 to become professor of mathematics at the university.
		Gordan was recognised as the leading world expert on invariant theory and he was also a close friend of Klein's.
		Gordan's only doctoral student was Emmy Noether, the daughter of Max Noether who was also at Erlangen during this period.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Gordan.html (971 words)

	Gordan
		Paul was educated in Breslau where he attended the Gymnasium, going on to study at the business school.
		For the rest of his career, although Gordan did not work exclusively on this topic, it would be fair to say that invariant theory dominated his mathematical research.
		Emmy Noether was Gordan's only doctoral student, but one would have to say that the lack of numbers is more than made up for by the remarkable quality of that one student who would do so much to set algebra on the path it is still on today.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Gordan.htm (823 words)

	Paul-Albert Besnard
		Albert Besnard (1849-1934) was born in Paris to parents who were both artists; his mother was a distinguished miniaturist.
		The audacious fixed gaze of the courtesan in the forefront confronts the viewer much in the same manner as Manet's Le Dejeuner sur l'herbe (1862-63) while the dreamlike vacuous countenance of her companion juxtaposes their threat of modern 19th century feminine sexuality with a darkly disarming malaise; the viewer is made an uncomfortable voyeur.
		This Albert Besnard is in a leaf-patterned mahogany with light gray wash Imperial French styled 22 5/8" x 27 3/4" frame.
	www.annalies.com /Gallery/Paul-Albert_Besnard/paul-albert_besnard.html (405 words)

	Gordan biography
		Moving to Königsberg, Gordan studied under Jacobi, then he moved to Berlin where he began to become interested in problems concerning algebraic equations.
		Gordan found Hilbert's revolutionary approach difficult to appreciate and not at all consistent with his ideas of constructive mathematics.
		One would have to say that this lack of numbers is more than made up for by the remarkable quality of that one student who would do so much to set algebra on the path it is still on today.
	www.gap-system.org /~history/Biographies/Gordan.html (971 words)

	View Genealogy for Albert Gorden Singleton (1/28/1886-8/30/1954) (Site not responding. Last check: 2007-10-19)
		Albert Gorden Singleton was born on 1/28/1886 in Mitchell County, GA and died on 8/30/1954 in Mitchell County, GA. He was 68 years old.
		Recorded as family #161: Albert G. Singleton (age 34), Ida (wife, age 35), [Mayl M. is written next and then struck through before being completed], Charlie May (daughter, age 14), Lenswood P. (son, age 11), Gordon W. (son, age 5 and 8 months), H. (son, age 2 and 2 months).
		Gordan is a farmer working a general farm and he is not a veteran.
	www.littletownmart.com /family/Genealogy.asp?1638 (1317 words)

	amongtheliving
		All this time Paul is kept a chained prisoner in one of the locked rooms in the abandoned mansion, as he went insane due to his father's abuse of his mother when he was still a young boy.
		The childlike Paul is secretly looked after by the faithful family servant Pompey (Ernest Whitman), as he still suffers from fits of pain as he hears his dead mother cry out for help and covers his ears.
		Within a short time Paul is romantically involved with the landlady's greedy unemployed mill worker daughter Millie (Susan Hayward), who thinks Paul is wealthy and her ticket out of poverty.
	www.sover.net /~ozus/amongtheliving.htm (768 words)

	Paul Albert Gordan - Wikipedia, the free encyclopedia
		Paul Albert Gordan (April 27, 1837 – December 21, 1912) was a German mathematician.
		He was known as "the king of invariant theory".
		Gordan also served as the thesis advisor for Emmy Noether.
	en.wikipedia.org /wiki/Paul_Albert_Gordan (135 words)

	Mathematicians - MathWiki (Site not responding. Last check: 2007-10-19)
		Gordan, Paul Albert (1837 – 1912 AD) : German mathematician noted for his proof in 1868 AD of his finite base theorem, subsequently known as Gordan’s theorem.
		In 1888 AD he generalized an important theorem of Gordan’s to higherorder systems, while in 1899 AD he published his famous Grundlagen der Geometrie (Foundations of Geometry) in which he provided a rigorous axiomatic foundation for the subject.
		Hipparchus (c.190 – c.126 BC) : Greek mathematician and astronomer noted as the author of the first chord table – the equivalent of a modern table of sines – and also for his discovery of the precession of the equinoxes.
	www.mathsisfun.com /wiki/Mathematicians (5706 words)

	Albert Wendt - NZ Literature File - LEARN - The University Of Auckland Library
		'Albert Wendt: an assessment.' Landfall 34: 275-90; Sept 1980.
		Foreword, J.-P. Durix; Prospecting, Albert Wendt; Networks and itineraries in Albert Wendt's poetry, C. Durix; Albert Wendt - in between two cultures, M. Nedeljkovic; Oral forms in Wendt's fiction, Subramani; Narrative voices, narrative personae, in "Flying-Fox in a Freedom Tree", J.Bardolph; Power in "Leaves of the Banyan Tree", J.-P. Durix; select bibliography.
		Albert Wendt and Pacific literature : circling the void.
	www.library.auckland.ac.nz /subjects/nzp/nzlit2/wendt.htm (2541 words)

	Paul Did You Mean paul?
		Paul is a popular male first name, from the Greek Paulos.
		Paul of Tarsus, whose birth name was Saul, a disciple and apostle of Jesus, known to many as Saint Paul.
		Paul is the chosen name of many Popes of the Roman Catholic Church upon election to the papacy:
	www.did-you-mean.com /Paul.html (188 words)

	Clebsch-Gordan coefficients - Wikipedia, the free encyclopedia
		In more mathematical terms, the CG coefficients are used in representation theory, particularly of compact Lie groups, to perform the explicit direct sum decomposition of the tensor product of two irreducible representations into irreducible representations, in cases where the numbers and types of irreducible components are already known abstractly.
		The name derives from the German mathematicians Alfred Clebsch (1833-1872) and Paul Gordan (1837-1912), who encountered an equivalent problem in invariant theory.
		In terms of classical mathematics, the CG coefficients, or at least those associated to the group SO(3), may be defined much more directly, by means of formulae for the multiplication of spherical harmonics.
	en.wikipedia.org /wiki/Clebsch-Gordan_coefficients (431 words)

	KOVALEVSKY, S.(1850-1891) and NOETHER, A.E.(1882-1935)
		When Gordan retired in 1910, he was followed one year later by Ernst Fischer (1875-1959), another algebraist with particular interests in the theory of elimination and the theory of invariants.
		His influence on Noether was great, and under his direction, her preoccupation passed From the algorithmic aspect of Gordan's work to the abstract axiomatic approach of Hilbert.
		After leaving Erlangern Emmy Noether studied at Gottingen, where she passed her habilitation examination in 1919, after overcoming objections of some of the faculty who were opposed to women lecturers.
	library.thinkquest.org /22584/temh3005.htm (826 words)

	A Short History
		Klein, Leonid Lachtin (1858-1927), Paul Gordan (1837-1912), Heinrich Maschke (1853-1908), Arthur Byron Coble (1878-1966), Frank Nelson Cole (1861-1926), and Anders Wiman (1865-1959) develop the fundamentals of how to solve a sextic via Klein's approach.
		Paul Emile Appell (1855-1930) and Joseph Marie Kampe de Feriet (1893-1982) recognize the hypergeometric functions in the series solution of the quintic.
		Andre Bloch (1893-1948) and George Polya (1887-1985) investigate the zeros of polynomials of arbitrary degree with random coefficients.
	library.wolfram.com /examples/quintic/timeline.html (1628 words)

	Noether's Accomplishments (Site not responding. Last check: 2007-10-19)
		Emmy Noether's doctoral thesis was completed in 1907 under the supervision of Paul Gordan, who gave a constructive proof on the existence of invariant forms in n variables.
		One does not need to know much about the theory of covariant forms to be impressed by the magnitude of her work.
		When Albert Einstein published his famous 1910 paper on general relativity, he could not establish the principles of conservation of energy and momentum within that theory.
	www.math.wsu.edu /math/faculty/barbut/acc.htm (264 words)

	The origins of fractals
		Hilbert was a much respected mathematician at the turn of the century, although his contemporaries such as Gordan often failed to appreciate Hilbert's revolutionary approach to solving problems.
		This is particularly true of Hilbert's proof of the finite basis theorem which he submitted to Mathematische Annalen, a theorem that Gordan had proved twenty years earlier using a much more computational approach.
		Today, Hilbert is particularly remembered for his famous 23 Paris problems (which included Goldbach's conjecture - see " Mathematical mysteries: the Goldbach conjecture" in Issue No 2), and also through the concept of Hilbert space, a vital tool in quantum theory.
	pass.maths.org.uk /issue6/turner1/index.html (1116 words)

	Albert Von Keller ( - ) Artwork Images, Exhibitions, Reviews
		Paul Albert Besnard - The First Morning (Albert and Charlotte Dubray Besnard and their Son, Robert) 1881 oil on panel Los Angeles County Museum of Art French
		Albert Besnard, Head of a Little Girl, 19th - 20th century
		Albert Steffen - Friedrich Hiebel, 35841bewusst_sein_im_wandel, Rudolf Meyer
	www.wwar.com /masters/k/keller-albert_von.html (1123 words)

	Abstract nonsense - Wikipedia, the free encyclopedia
		Other, possibly less flattering, characterizations of abstract reasoning have been recorded, although they have not acquired the status of mathematical jargon.
		The proof in question was the (non-constructive) existence of a finite basis for invariants.
		This proof seemed to counter the sensibilities of Gordan, whom Weyl described in his Hilbert obituary as a great "algorithmician."
	en.wikipedia.org /wiki/Abstract_nonsense (309 words)

	Real number - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-19)
		Charles Hermite (1873) first proved that e is transcendental, and Ferdinand von Lindemann (1882), showed that π is transcendental.
		Lindemann's proof was much simplified by Weierstrass (1885), still further by David Hilbert (1893), and has finally been made elementary by Hurwitz and Paul Albert Gordan.
		The development of calculus in the 1700s used the entire set of real numbers without having defined them cleanly.
	www.flyproxy.com /index.php?q=aHR0cDovL2VuLndpa2lwZWRpYS5vcmcvd2lraS9SZWFsX251bWJlcnM= (2578 words)

	... Discography at CD Universe
		The CD Universe search engine will work with the beginning of each word to bring you to the correct title.
		For example, if you are looking for an album with a difficult title like "Negotiations & Love Songs 1971-86" by Paul Simon, try a title search for "Neg Love Songs".
		The order of the words is not important so "Love Songs Neg" will also work.
	cduniverse.com /search/xx/music/artist/.../PaulAlbert/Hindemith.htm (158 words)

	Mary'sHistory (Site not responding. Last check: 2007-10-19)
		My love was so great for him that on the day he was christened, I bit him; He looked so sweet, in my eyes, in his baby carriage decked with flowers.
		Father and Albert came to St. George, his having bargained off his home, but not having received his pay till spring.
		Henry and Albert went up in March 1864 to Salt Lake City for mother and the family.
	www.softcom.net /users/paulandsteph/fwf/marysfamily.html (4746 words)

	Uranus and Neptune in Mutual Reception (Site not responding. Last check: 2007-10-19)
		Music and arts benefited from the mutual reception, although perhaps less than might be expected.
		Mendelssohn wrote the romantic oratorio St Paul and Berlioz wrote his Romeo and Juliet symphony in 1836, while Schumann's first published songs appeared in 1840.
		The significant heritage was in the artists born under this configuration (see appendix).
	www.groundedheavens.com /analysis/03mut_rec.html (2838 words)

	27 April History: This Date
		En 1537, dès sa réapparition dans les pays chrétiens, l'esclavage avait été condamné par le pape Paul III [29 Feb 1468 – 10 Nov 1549] (mais les injonctions pontificales n'avaient pas eu plus de succès qu'elles n'en ont aujourd'hui en matière de moeurs).
		Since then the shortest pontificate has been that of John Paul I [17 Oct 1912 –; 28 Sep 1978], elected on August 1979.
		But before Leo XI, there were shorter pontificates: Urban VII [04 Aug 1521 – 27 Sep 1590] was elected on 15 September 1590, and the all-time record is held by Stephen II [–26 Mar 752] who was elected on 23 March 752.
	www.safran-arts.com /42day/history/h4apr/h4apr27.html (7370 words)

	Faces
		Hedrick Lorentz is known for his important work in electromagnetic theory.
		Albert Michelson's famous experiment showed the invariance of light speed.
		Robert Millikan measured the charge of an electron.
	faculty.rmwc.edu /tmichalik/faces.htm (338 words)

	Humanistic Commonplace Book \| Special Collections \| Bryn Mawr College Library
		Albert of Cremona, letter to Gaspar Caput Bovis.
		171r-175r Series of apocryphal letters between St. Paul and Seneca.
		Obtained from Maggs by Walter S. Goodhart, and given by him to Phyllis Goodhart Gordan (bookplate) and John Dozier Gordan, Jr.
	www.brynmawr.edu /library/speccoll/guides/gordanms33.shtml (1698 words)

	The Mathematics Genealogy Project - Paul Gordan
		Click here to see the students listed in chronological order.
		According to our current on-line database, Paul Gordan has 2 students and 678 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=15654 (78 words)

	Pritchard Law Webs Directory of Minnesota Law Firms on the Web Grouped by Principal Office City (Site not responding. Last check: 2007-10-19)
		Leonard, Street and Deinard, P.A. Minneapolis, Mankato, Saint Cloud, Saint Paul, Washington, D.C. Lindell & Lavoie, LLP
		Messerli & Kramer, P.A. Minneapolis, Saint Paul, Plymouth
		Dudley and Smith, P.A. Saint Paul, Woodbury, Maplewood, Shoreview, Apple Valley, Lake Elmo
	www.priweb.com /mnlawfirmsbycity.htm (1168 words)

	Pritchard Law Webs Directory of Minnesota Law Firms on the Web
		Hansen, Dordell, Bradt, Odlaug & Bradt, P.L.L.P. Saint Paul
		Leonard, Street and Deinard, P.A. Minneapolis, Mankato, Saint Cloud, Saint Paul, Washington, D.C. Leonard, O'Brien, Spencer, Gale & Sayre, Ltd.
		Winona, Saint Paul, Albert Lea, Mankato, Prior Lake, Rochester, Worthington
	www.priweb.com /mnlawfirms.htm (791 words)

	Zero Saga
		It is theology," a remark made by Paul Albert Gordan, as reported in Olver's book.
		How could you divide 3 apples among zero people!
		You may like to visit and find out what is wrong in the following Web site: Paul, a 3rd grader, divides by ZERO.
	home.ubalt.edu /ntsbarsh/zero/ZERO.HTM (18483 words)

	Melanie Azelle POLLOK - Todd Geoffrey REA
		POLLOK =Lucille Emma BOURGEOIS 2 Paul Albert, Jr.
		1 Paulette PRICE =Raymond Paul POCHE' 2 Christopher John POCHE' 2 Raymond Joseph POCHE'
		/-Joseph Paul BOURGEOIS \-Mary Ann BOURGEOIS \-Marie Eva MONCLA
	www.eatel.net /~nikki3179/people/p0000029.htm (500 words)

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