
	Where results make sense

Topic: Louis Mordell

Related Topics

Number theory

In the News (Wed 30 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Mordell biography
		Mordell had to earn the money for his passage to England, and this he did, with some help from his parents, mainly by tutoring his fellow pupils for seven hours a day to earn enough to pay for his passage.
		Mordell was awarded the second Smith's Prize with his essay, and he went on to publish a long paper on this equation, now sometimes called Mordell's equation, in the Proceedings of the London Mathematical Society.
		Mordell submitted his subsequent work on indeterminate equations of the third and fourth degree when he became a candidate for a Fellowship at St John's College, but he was not successful.
	www-groups.dcs.st-and.ac.uk /history/Biographies/Mordell.html (2263 words)

	Janus: Papers of Louis Joel Mordell
		Mordell was born in Philadelphia, the third child of Lithuanian immigrants.
		In 1922 Mordell took a readership at the University of Manchester and was appointed to the Fielden chair of pure mathematics a year later.
		Mordell was awarded the Sylvester medal of the Royal Society in 1949.
	janus.lib.cam.ac.uk /db/node.xsp?id=EAD/GBR/0275/Mordell (434 words)

	Gerd Faltings Proves Mordell's Conjecture (1983) \| Science and Its Times: 1950-Present
		The conjecture that Louis Mordell (1888-1972) initiated in 1922 stated that a given set of algebraic equations with rational coefficients defining an algebraic curve of n greater than or equal to 2 must have only a finite number of rational solutions.
		Mordell in his era proved the finite generation in mathematics, and mathematicians have since built upon his findings and developed the crossover use of algebra in solving geometric problems utilizing the methods of one to enable proof of the other.
		Mordell's conjecture, when translated algebraically, revealed that a group of curves based on his conjecture would result in only a finite number of sections if the group were not constant.
	www.bookrags.com /research/gerd-faltings-proves-mordells-conje-scit-07123 (1034 words)

	Louis Mordell - Wikipedia, the free encyclopedia
		He was born in Philadelphia, USA, in a Jewish family of Lithuanian extraction.
		He came in 1906 to Cambridge to take the scholarship examination for entrance to St John's College, and was successful in gaining a place and support.
		Having taken third place in the Mathematical Tripos, he began independent research into particular diophantine equations: the question of integer points on the cubic curve, and special case of what is now called a Thue equation, the Mordell equation
	en.wikipedia.org /wiki/Louis_Mordell (390 words)

	Timeline of Fermat's Last Theorem
		Mordell discovered the connection between the solutions of algebraic equations and topology.
		Two-dimensional surfaces in three-dimensional space can be classified according to their genus, which is the number of holes in the surface.
		Weil had written about the conjecture, modular elliptic curves became know as "Weil curves." After Taniyama's problems became known in the West, the conjecture came to be called erroneously the "Taniyama-Weil" conjecture, and Shimura's name was left out.
	www.public.iastate.edu /~kchoi/time.htm (2119 words)

	International Society of TOE (Theory of Everything)
		In 1922, Louis J. Mordell used a different approach (different from the Frey-Ribet-Wiles path) to tackle the Fermat's last theorem.
		In 1983, Gerd Faltings proved Mordell's conjecture, Soon afterward D. Health-Brown modified Faltings' approach to prove that the proportion of integers n for which Fermat's last theorem is true approaches to 100 percent as n becomes very large.
		With the improved Mordell's conjecture, theorem 6 proved that Fermat's last theorem is true when n is large, but Fermat's last theorem can be proved with colored number theory without using Mordell's conjecture after the introduction of complementary rule and partner rule.
	www.fortunecity.com /business/soros/1143/Fermat.htm (3844 words)

	Geometry of numbers
		It has frequently been used in an auxiliary role in proofs, particularly in diophantine approximation.
		The subject was given a great deal of attention in the period 1930-1960 by some leading number theorists (including Louis Mordell[?], Harold Davenport[?] and Carl Ludwig Siegel[?]).
		To begin with, Minkowski's theorem establishes a relation between symmetric convex sets and integer points; we might as well say, between any lattice and any Banach space norm in n dimensions.
	www.ebroadcast.com.au /lookup/encyclopedia/ge/Geometry_of_numbers.html (251 words)

	Fermat's Last Theorem - There are bigger problems (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-11-06)
		Mordell's conjecture required therefore 69 years to be proved.
		Moreover, Mordell's conjecture says nothing about the number of powers that have a solution to Fermat's equation; it deals only with the number of solutions for each power separately.
		Faltings' proof of Mordell's conjecture was described as "opening a new chapter in number theory".
	www.geocities.com.cob-web.org:8888 /fermatnow/flt/flt6.htm (1279 words)

	Untitled Document (Site not responding. Last check: 2007-11-06)
		Professor Mordell received the De Morgan Medal on 11 December 1941.
		Extract from the President's address: ‘Mordell has been recognized for a long time as one of the first among British mathematicians, both for the importance of his own researches and for his inspiration of the work of others.
		He was indeed for long almost the only British mathematician of whom this could be said; and, if this is no longer true, it is mainly the result of his own exertions.
	www.lms.ac.uk /newsletter/330/330_11.html (108 words)

	Other Information of- Faltings' theorem. (Site not responding. Last check: 2007-11-06)
		In number theory, the Mordell conjecture stated a basic result regarding the rational number solutions to Diophantine equation s.
		The g = 0 case has been understood for a long time; Louis Joel Mordell solved the g = 1 case, and conjectured the result for the g greater than 1 case.
		Faltings' original proof used the known reduction to a case of the Tate conjecture, and a number of tools from algebraic geometry, including the theory of Néron model s.
	faltings.theorem.en.moneylist.info (2145 words)

	Mordell–Weil theorem - Wikipedia, the free encyclopedia
		In mathematics, the Mordell–Weil theorem states that for an abelian variety A over a number field K, the group A(K) of K-rational points of A is a finitely-generated abelian group, called the Mordell-Weil group.
		The case with A an elliptic curve E and K the rational number field Q is Mordell's theorem, answering a question apparently posed by Poincaré around 1908; it was proved by Louis Mordell in 1922.
		Mordell, On the rational solutions of the indeterminate equations of the third and fourth degrees,, Proc Cam.
	en.wikipedia.org /wiki/Mordell-Weil_theorem (491 words)

	Birch and Swinnerton-Dyer conjecture (via CobWeb/3.1 planetlab2.isi.jhu.edu) (Site not responding. Last check: 2007-11-06)
		In 1922 Louis Mordell proved Mordell's theorem: the group of rational points on an elliptic curve has a finite basis.
		This means that for any elliptic curve there is a finite sub-set of the rational points on the curve, from which all further rational points may be generated.
		Although Mordell's theorem shows that the rank of an elliptic curve is always finite, it does not give an effective method for calculating the rank of every curve.
	birch-and-swinnerton-dyer-conjecture.iqnaut.net.cob-web.org:8888 (959 words)

	JPL Small-Body Database Browser
		Discovered 1997 May 8 by P. Comba at Prescott.
		Louis Joel Mordell (1888-1972) was born in the U.S. but moved to England as a student and spent the rest of his life there, being associated with the University of Manchester and later with Cambridge.
		His research ranged widely in number theory and algebraic geometry.
	ssd.jpl.nasa.gov /sbdb.cgi?sstr=29435 (77 words)

	[No title]
		Castel +------------------------------------------------------------ Castel Castel Louis (1688-1757) +------------------------------------------------------------
		Couturat +------------------------------------------------------------ Couturat Couturat Louis (1868-1914) +------------------------------------------------------------
		Francoeur +------------------------------------------------------------ Francoeur Francoeur Louis (1773-1849) +------------------------------------------------------------
	www.math.harvard.edu /~knill/sofia/data/mathematicians.txt (6427 words)

	Victoria University of Manchester (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-11-06)
		Needing to understand more mathematics for his research he began a study which soon involved him in the foundations of mathematics.
		Louis Mordell was a pure mathematician who made important contributions in number theory.
		Harold Davenport is another distinguished number theorist who worked in Manchester as a contemporary of Paul Erdös and Louis Mordell.
	victoria-university-of-manchester.iqnaut.net.cob-web.org:8888 (2002 words)

	J. W. S. Cassels
		His academic career was interrupted in World War II when he was involved in cryptography at Bletchley Park.
		After the war he became a research student of Louis Mordell at Trinity College, Cambridge; he received his PhD in 1949 and was elected a fellow of Trinity in the same year.
		After finishing his PhD, Cassels spent a year lecturing in mathematics at the University of Manchester before returning to Cambridge as a lecturer in 1950.
	www.danceage.com /biography/sdmc_Cassels (306 words)

	ZALA films: N is a Number: Film Synopsis
		After finishing his Ph.D. in 1934 at the University of Budapest, Erdös went to Manchester.
		In England he met several of the world's leading mathematicians-G. Hardy, J. Littlewood and Louis Mordell among them.
		Throughout this period Erdös continued to spend his summers in Hungary, but in 1938 the Nazi invasion of Czechoslovakia convinced him that Hungary was no longer a safe place for a young Jewish intellectual.
	www.zalafilms.com /films/nisfilm2.html (714 words)

	Pantages Theater Minneapolis Minnesota (Site not responding. Last check: 2007-11-06)
		The Pantages Theater was re-opened in 2002 and now features many well known plays, musicals and comedy acts.
		We recently saw Dave Mordell and Louis Black at the Pantages Theater and it makes a great place to visit and see a show.
		Located next to Block E in Minneapolis Minnesota, the Pantages Theater is close by to after hours entertainment and pre-show restaurants.
	www.gallconsulting.com /twincities/pantages.theater.htm (63 words)

	Elliptic Curves and Elliptic Functions
		If the curve is defined over Q, then it is a simple fact that the set of all rational points (if there are any) is a subgroup.
		Many years ago (1921), Louis Mordell proved the theorem named after him, that the group of all rational points on an elliptic curve (over Q) is finitely generated.
		(There is also a conjecture due to Mordell, that the set of rational points on a algebraic curve of genus > 1 is actually finite.
	www.mbay.net /~cgd/flt/flt03.htm (3513 words)

	Research
		I had followed Zassenhaus from McGill through Caltech to Notre Dame du Lac in Indiana, and didn't know whether I was coming or going.
		At Caltech, Olga Taussky had made me present a paper by Schur in the slick functorial mode (which was not her own); at Notre Dame, Louis Mordell (who was there temporarily) heaped scorn on André Weil for having done just that with "his" theorem, and Alex Heller showed up with tales of the miraculous Grothendieck.
		I wanted to go to Paris, but Zassenhaus suggested Hamburg, his former home base and my native city, which I had not seen since early childhood.
	www.math.ubc.ca /~hoek/Research/research.html (628 words)

	Open Questions: Elliptic Curves and Modular Forms
		For equations of degree greater than 3, Louis J. Mordell made a famous conjecture in 1922 that there could likewise be at most a finite number of integer solutions.
		If the degree is exactly three, we have essentially an elliptic curve, and trying to answer questions 3 and 4 is presently where most of the theoretical action is. Mordell gave a good partial answer in 1923 (based on a conjecture of Henri Poincaré in 1901), known as Mordell's Theorem.
		To begin with, Weil proved a generalization of Mordell's theorem, namely that the group E(K) is finitely generated, when K is any finite extension of Q.
	www.openquestions.com /oq-ma017.htm (18524 words)

	Research in Pure Mathematics - MIMS (Site not responding. Last check: 2007-11-06)
		Pure Mathematics at the University of Manchester has a rich and varied history.
		The 1920s and 30s saw Manchester become one of the world's leading centres for number theory, with Louis Mordell and Kurt Mahler holding chairs here.
		In 1945 Max Newman arrived from code-breaking work at Bletchley Park; by recruiting stars such as Frank Adams and Michael Barratt, he ensured that the Department attained pre-eminence in algebraic topology during the 1960s.
	www.mims.manchester.ac.uk /research/pure (218 words)

	The Mathematics Genealogy Project - Louis Mordell
		Click here to see the students listed in chronological order.
		According to our current on-line database, Louis Mordell has 2 students and 78 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.math.ndsu.nodak.edu /html/id.phtml?id=44940 (66 words)

	Amazon.com: Biography - Mordell, Louis (Joel) (1888-1972): An article from: Contemporary Authors: Books: Gale Reference ... (Site not responding. Last check: 2007-11-06)
		Amazon.com: Biography - Mordell, Louis (Joel) (1888-1972): An article from: Contemporary Authors: Books: Gale Reference Team
		Publisher: learn how customers can search inside this book.
		This digital document, covering the life and work of Louis (Joel) Mordell, is an entry from Contemporary Authors, a reference volume published by Thompson Gale.
	www.amazon.com /exec/obidos/ASIN/B0007SI3V8 (251 words)

	Postgraduate Admissions and Studies - School of Mathematics
		We are proud of the cosmopolitan variety of our own students and staff, and it is our aim to attract the very best mathematicians to Manchester whatever their country of origin.
		While the School operates within a dynamic contemporary environment, we remain conscious of the important traditions created by the many celebrated mathematicians including Osborne Reynolds, James Lighthill, Louis Mordell, Alan Turing, Kurt Mahler and Paul Erdös who have all worked here.
		The School of Mathematics continues to have an outstanding research reputation.
	www.ma.man.ac.uk /postgraduate (199 words)

	Sum of powers
		See 61 solutions with both a and b both less than 10
		has been solved by Louis J. Mordell in his book "Diophantine equations", Academic Press, London-New York 1969.
		The last one was found by Johnny Edwards.
	www.alpertron.com.ar /SUMPOWER.HTM (170 words)

	28 Jan History: This Date
		Later, the Nazis, after learned about the use of Zyklon B by the US, adopted the deadly chemical to rid the Reich of Jews and other human “pests”.
		In death camps they subjected them to what the Nazis told them were “delousing showers”, but were in reality gassing to death by Zyklon B. first Jewish Supreme Court justice, Louis Brandeis, nominated.
		D’une famille auvergnate du diocèse de Saint-Flour, fils de Charles Louis, gouverneur de Murat, lieutenant des maréchaux de France, et de Jeanne Cécile de Lastic de Fournels, Alexandre César d’Anterroches naquit le 23 mars 1719 au château d’Anterroche à Murat.
	www.safran-arts.com /42day/history/h4jan/h4jan28.html (11465 words)

	[No title]
		The set of all such points forms a group, typically denoted E(().
		In 1921, Louis Mordell proved that the group of all rational points on an elliptic curve (over () is finitely generated.
		This is a special case of what is known as the Mordell-Weil Theorem, which states that for any number field K and an elliptic curve E, the Mordell-Weil group E(K) is finitely generated.
	www.ms.uky.edu /~uwenagel/ALG-GEOM-04/watson.doc (1428 words)

	28 Jan History: This Date
		1888 Louis Joel Mordell, US mathematician who died on 12 March 1972.
		He is best known for his investigations of equations of the form of y
		William Burroughs, a young inventor with little formal education, invented the first commercially successful adding machine and founded the American Arithmomter Company of St. Louis.
	h42day.0catch.com /history/h4jan/h4jan28.html (10344 words)

	John Derbyshire’s November Diary on National Review Online
		These questions dwell in a part of math called Diophantine analysis — the effort to find whole-number solutions to complicated equations.
		The more general case revolves around a theorem proved by the Norwegian mathematician Axel Thue back in 1909, and some subsequent investigations by the American number theorist Louis Joel Mordell later in the last century.
		I'll leave you with those names and Mr.
	www.nationalreview.com /derbyshire/derbyshire200411300819.asp (1616 words)

Try your search on: Qwika (all wikis)