21. The Mathematics Genealogy Project - Update Data For Louis Mordell If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=44940

22. Transcendental.html louis Joel mordell (18881972). This small section is essentially about the deepquestion how close can squares and cubes get to each other ? http://www.spd.dcu.ie/johnbcos/download/Public and other lectures/transcendental

Louis Joel Mordell (1888-1972) This small section is essentially about the deep question: how close can squares and cubes get to each other You may view a photograph of Mordell in the Oxford 1969 corner of my web site, and a short account of a conversation I had with him at the time the photograph was taken. Here I mention only one famous result of Mordell - which is intimately related to Thue's theorem - and here mention that both Thue and Mordell relate to later profound work of Alan Baker. Some (fast-track!) background. Everyone knows the squares: 0, 1, 4, 9, 16, ... , and it is trivial to explain why the successive differences between them, namely 1, 3, 5, 7, ... , follow a predictable pattern: it's simply that The cubes are: 0, 1, 8, 27, 64, 125, 216, ... The differences: 1, 7, 19, 37, 61, 91, ... Their differences: 6, 12, 18, 24, 30, ... [and it's an easy exercise to explain why...] But now for something quite different . The mixed sequence of all squares and cubes (the ones in the larger font size are those that are both a square and a cube, and so are a sixth power) starts like this: Now look at the successive differences: 1, 3, 4, 1, 7, 9, 2, 9, 13, ... . As you see, the differences are most certainly not monotonic - as was the case with the squares and cubes separately - and jump about all over the place ('live' I can vary the 'bound' - I'll probably make it be 100000 (a

23. Transcendental.html louis Joel mordell (18881972) Carl Ludwig Siegel (1896-1981) KurtMahler (1903-1988) Theodor Schneider (1911-1988) Klaus Friedrich Roth (1925- ) http://www.spd.dcu.ie/johnbcos/download/Public and other lectures/transcendental

Thue, Mordell, Siegel, Mahler, Schneider, Roth, Schmidt Axel Thue (1863-1922) Louis Joel Mordell (1888-1972) Carl Ludwig Siegel (1896-1981) Kurt Mahler (1903-1988) ... Wolfgang Schmidt (1933- ) Contact details e-mail: John.Cosgrave@spd.dcu.ie My office phone number: from within Dublin it is outside Dublin, but within Ireland from outside Ireland it is Address: Dr. John Cosgrave, Mathematics Department, St. Patrick's College, Drumcondra, Dublin 9, IRELAND. This page was last updated 06 May 2004 14:52:56 +0100

24. Biographie : Louis Joel Mordell ( 28 Janvier 1888 [Philadelphie] - 12 Mars 1972 http://www.bibmath.net/bios/index.php3?action=affiche&quoi=mordell

25. St John's College - Library - Personal And Family Papers mordell, louis Joel (18881972), mathematician. 6 boxes. Morton, WilliamBlair (1868-1949), physicist. 2 boxes. Mullinger, James Bass (1834-1917), http://www.joh.cam.ac.uk/library/special_collections/personal_papers/

St John's College Cambridge UK Tel: +44 (01223) 338600 about college life admissions library ... Early Printed Books Personal and Family Papers Photographic Collections SEARCH For Hints and Tips on how to optimise your search, click here Home The Library Special Collections Personal and Family Papers The collections of personal papers can be consulted in the Rare Books Reading Room. Fuller listings for the individual collections are added regularly to these pages. If you would like to see any College manuscripts listed on this site, please contact the Special Collections Librarian (tel. 01223-339393). To locate an item please use the following name index or do a keyword search: Enter keywords: or see help A B C ... Z A Abbott, Edwin Abbott (1838-1926), teacher and scholar. 9 boxes. Adams, John Couch (1819-1892), astronomer. 45 boxes. Allen, Frank James (1854-1942), physiologist, antiquarian. 1 box. Anderson, William Blair (1877-1959), classicist. 3 boxes. Ashby, George (1724-1808), antiquary. 1 box. Top of page B Bailey, Stanley John (1901-80), Rouse Ball Professor of English Law 1950-68. 2 boxes. Balls, William Lawrence

26. A Life Of Mathematics: Paul Erd\H{o}s (1913-1996) but also received his doctorate and got a Fellowship to Manchester, to jointhe exceptional group of mathematicians led by louis mordell. http://www.math.ohio-state.edu/~nevai/ERDOS/erdos_bollobas.html

as published in the December, 1996, issue of MAA 's FOCUS %From bollobas@math.ias.edu Wed Dec 25 19:08:55 1996 %From: Bela Bollobas

27. Number/Group Theory Conference, 1966? Some notable visitors include Paul Erdos, on the extreme right and front, louis J.mordell in the front row right of the right railing, Don Lewis to the http://www.math.ohio-state.edu/history/album/Picture2.html

Photograph taken at a conference in number/group theory around 1966 on the front steps of Page Hall, a precursor to the biennial OSU-Denison Conference Some notable visitors include Paul Erdos, on the extreme right and front, Louis J. Mordell in the front row right of the right railing, Don Lewis to the right of Zassenhaus (face partly obscured), Harold Stark two rows directly in front of Zassenhaus, Olga Taussky in the second row, second from the right, John Todd to the left and behind Taussky, Jack McLaughlin in the second row right of the right railing, Roger Lyndon two rows behind and slightly left of John Todd, W. E. Deskins front row next to the unidentified nun (possibly one of Zassenhaus' Ph.D. students), and George Kolletis next to Deskins. (Photo donated by Mrs. Zassenhaus.) Click on the picture to get an oversized closeup.

28. Victoria University Of Manchester -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about louis mordell) louis mordell was a puremathematician who made important contributions in number theory. http://www.absoluteastronomy.com/encyclopedia/v/vi/victoria_university_of_manche

Victoria University of Manchester [Categories: History of Greater Manchester, English universities] The Victoria University of Manchester (almost always referred to as simply the University of Manchester ) was a (Establishment where a seat of higher learning is housed, including administrative and living quarters as well as facilities for research and teaching) university in (A city in northwestern England (30 miles east of Liverpool); heart of the most densely populated area of England) Manchester in (A division of the United Kingdom) England . On October 1 2004 it merged with (Click link for more info and facts about UMIST) UMIST to form a new institution called the (Click link for more info and facts about University of Manchester) University of Manchester History The university began in 1851 as Owens College (named after (Click link for more info and facts about John Owens) John Owens ), a textile merchant who left a bequest of £96,942 for the purpose. It moved to its current location in 1873, and was granted its (A charter granted by the sovereign (especially in Great Britain)) Royal Charter in 1880, becoming the first institution of the federal

29. List Of British Jews -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about louis mordell) louis mordell, numbertheorist (Click link for more info and facts about Richard Rado) Richard Rado http://www.absoluteastronomy.com/encyclopedia/l/li/list_of_british_jews.htm

List of British Jews [Categories: Lists of British people, Jewish British history, Lists of Jews] (A person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties) Jew s first arrived in (A monarchy in northwestern Europe occupying most of the British Isles; divided into England and Scotland and Wales and Northern Ireland) Britain with (Duke of Normandy who led the Norman invasion of England and became the first Norman to be King of England; he defeated Harold II at the Battle of Hastings in 1066 and introduced many Norman customs into England (1027-1087)) William the Conqueror in 1066, but were expelled in 1290 following increasing persecution. (Hence plays such as (Click link for more info and facts about The Jew of Malta) The Jew of Malta and (Click link for more info and facts about The Merchant of Venice) The Merchant of Venice were written when England was essentially devoid of Jews.) Jews were readmitted in 1656 by (English general and statesman who led the parliamentary army in the English Civil War (1599-1658)) Oliver Cromwell , and (Freeing someone from the control of another; especially a parent's relinquishing authority and control over a minor child)

30. Victoria University Of Manchester: Information From Answers.com louis mordell was a pure mathematician who made important contributions in numbertheory. Sydney Goldstein was one of the most influential theoretical fluid http://www.answers.com/topic/victoria-university-of-manchester

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Victoria University of Manchester Encyclopedia Manchester, Victoria University of, at Manchester, England; founded 1880 as Victoria Univ., an outgrowth of Owens College (est. 1851). In 1903 the university was reconstituted and its present name was adopted. It has faculties of arts, business administration, economic and social studies, education, law, medicine, dentistry, science, technology, and theology. The Univ. of Manchester Institute of Science and Technology is affiliated. Wikipedia Victoria University of Manchester The Victoria University of Manchester (almost always referred to as simply the University of Manchester ) was a university in Manchester in England . On October 1 it merged with UMIST to form a new institution called the University of Manchester History The university began in as Owens College (named after John Owens ), a textile merchant who left a bequest of £96,942 for the purpose. It moved to its current location in

31. List Of British Jews: Information From Answers.com Hyman Kestelman, mathematician; Ruth Lawrence, mathematician child prodigy;Claus Moser, statistician; louis mordell, number theorist; Richard Rado, http://www.answers.com/topic/list-of-british-jews

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping List of British Jews Wikipedia List of British Jews List of Jews by country Sub-Saharan Africa Arab World ... North Europe UK Germany Italy France West Europe ... Oceania (*most are Jewish) Jews first arrived in Britain with William the Conqueror in , but were expelled in following increasing persecution. (Hence plays such as The Jew of Malta and The Merchant of Venice were written when England was essentially devoid of Jews.) Jews were readmitted in by Oliver Cromwell , and emancipation took place in . In the late 19th century there was mass Jewish immigration from anti-semitic Russia , and the saw an influx of refugees from Nazism . The Jewish population peaked at 450,000, but has since declined due to low birth rate, intermarriage and emigration. The current population according to the 2001 Census is around 240,000 (though many experts consider this an underestimate), most of whom live in London . The following is a list of some prominent British Jews. Political figures MPs British Members of Parliament listed chronologically by first election date (in brackets) Benjamin Disraeli, 1st Earl of Beaconsfield

32. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr 160, Michigan Three lectures on Fermat s last theorem, by LJ mordell. (bymordell, louis Joel.) 31, 1921. book. 161, icm Théorie de l intégrale (by http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_title_T.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Title, Author: Pages: Year(s): Type: Michigan Teoria analitica delle forme geometriche fondamentali. (by Ovidio, Enrico d') book icm Teoria liczb (by Sierpiski W.)

33. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr mordell, louis Joel. Three lectures on Fermat s last theorem, byLJ mordell. 31, 1921. book. 86, Michigan Morgenstern, Arthur Beiträge http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_author_M.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Author, Title (Books only): Pages: Year(s): Type: Michigan MacMahon, Percy Alexander : Combinatory analysis, by Percy A. MacMahon. book Cornell Macaulay, Francis Sowerby

34. Mordell-Weil Theorem - Linix Encyclopedia The case with A an elliptic curve E and K the rational number field Q is mordell stheorem, answering a question apparently posed by louis mordell in 1922. http://web.linix.ca/pedia/index.php/Mordell-Weil_theorem

Mordell-Weil theorem 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 . 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. The tangent-chord process (one form of addition theorem on a cubic curve ) had been known as far back as the seventeenth century . The process of infinite descent of Fermat was well known, but Mordell succeeded with in establishing a result on the quotient group E Q E Q which forms a major step in the proof. Certainly the finiteness of this group is a necessary condition for E Q ) to be finitely-generated; and it shows that the rank is finite. This turns out to be the essential difficulty. It can be proved by direct analysis of the doubling of a point on E Some years later André Weil took up the subject, producing the generalisation in his doctoral dissertation published in 1928. More abstract methods were required, to carry out a proof with the same basic structure. The second half of the proof needs some type of height function , in terms of which to bound the 'size' of points of A K ). Some measure of the co-ordinates will do; heights are logarithmic, so that (roughly speaking) it is a question of how many digits are required to write down a set of

35. AlmanacMar Another mathematician, louis Joel mordell, died on this day in 1972. He had beenborn in Philadelphia on January 28, 1888, but studied and worked in England http://lewis.up.edu/efl/sherrer/AlmanacMar.htm

University of Portland Almanac for March March 1 This is St. David's Day. David (or Dewi), a sixth-century Welsh abbot, is the patron saint of Wales. In March of 1949 the student government at the University formally adopted the name, Associated Students of the University of Portland, and began using the acronym ASUP. The first student body president under the new constitution was Kevin Collins, who later served as Acting Dean of Students for the University. This was the birthday in 1810 of the Polish composer and pianist Frederick Chopin, and the birthday in 1837 of the American novelist and editor (founder of the Atlantic Monthly and first editor of the works of Thomas Wolfe) William Dean Howells. It was also the birthday in 1914 of the African-American writer Ralph Waldo Ellison ( The Invisible Man ), in 1917 of the New England poet Robert Lowell, in 1919 of the "beat" poet Lawrence Ferlinghetti, in 1920 of US poet-laureate Richard Wilbur, and in 1925 of Israeli prime minister and Nobel-Peace-Prize winner Yitzak Rabin. And on this day in 1847 the State of Michigan became the first English-speaking jurisdiction to banish the death penalty. March 2 In 1978 University President Paul E. Waldschmidt, C.S.C., was ordained a bishop at a ceremony in Civic Auditorium.

36. Timeline Of Fermat's Last Theorem 1922, louis J. mordell, mordell discovered the connection between the solutionsof algebraic equations and topology. http://www.public.iastate.edu/~kchoi/time.htm

Drink to Me (Carolan, sequenced by Barry Taylor) Timeline of Fermat's Last Theorem when who what 1900 BC Babylonians A clay tablet, now in the museum of Columbia University, called Plimpton 322, contains 15 triples of numbers. They show that a square can be written as the sum of two smaller squares, e.g., 5 circa 530 Pythagoras Pythagoras was born in Samos. Later he spent 13 years in Babylon, and probably learned the Babylonian's results, now known as the Pythagorean triples. Pythagoras was also the founder of a secret society that studied among others "perfect" numbers. A perfect number is one that is the sum of its multiplicative factors. For instance, 6 is a perfect number (6 = 1 + 2 + 3). Pythagoreans also recognized that 2 is an irrational number. circa 300 BC Euclid of Alexandria Euclid is best known for his treatise Elements circa 400 BC Eudoxus Eudoxus was born in Cnidos, and became a colleague of Plato. He contributed to the theory of proportions, and invented the "method of exhaustion." This is the same method employed in integral calculus. circa 250 AD Diophantus of Alexandria Diophantus wrote Arithmetica , a collection of 130 problems giving numerical solutions, which included the Diophantine equations , equations which allow only integer solutions (e.g, ax + by = c, x

37. Places Index Joplin Kennett mordell St. louis Springfield Stoddard Co. Tywapity Bottoms WebsterGrove Back to the top of this page NORTH CAROLINA Anson Co. Cabarrus Co. http://www.seark.net/~rdea/places.html

ALABAMA ARKANSAS CALIFORNIA CONNECTICUT ... WASHINGTON Return to Old Times Not Forgotten: A History of Drew County Places Index Back to the top of this page ALABAMA Birmingham Butler co. Chambers Co. Cherokee Co. Franklin Co. Green Co. Henry Co. Keener Lamar Co. Limestone Co. Marengo Co. Marshall Co. Mobile Monroe Mount Pleasant Perry Co. St. Clair Co. Selma Suggville Tallaspoose Tuscaloosa Union Springs Washington Co. Wilcox Co. Back to the top of this page ARKANSAS Arkansas City Arkansas Co. Arkansas Post Ashley Co. Banks Bradley Co. Calhoun Co. Carroll Co. Cleveland Co. Crossett Decatur Dermott Desha Co. El Dorado England Garland Co. Gentry Hempstead Co. Hot Springs Howard Co. Independence Co. Isard Co. Lee Co. Lincoln Co. Little Rock Magnolia McGehee Milo New Edinburg Ouachita Co. Palestine Pine Bluff Polk Co. Portland Prescott Pulaski Co. Rawls Star City Tyronza Waldron Warren Washington Co. Widener Woodruff Co. Union Co. Yell Co. Back to the top of this page CALIFORNIA Hayward Maryville Riverside Back to the top of this page CONNECTICUT Plainfield Back to the top of this page ENGLAND Cornwall Kent Co, Liverpool London Sheffield Surry Co.

38. Paul Erdos, An Eccentric Titan Of Mathematical Theory, Dies undertaken when he was an undergraduate at Budapest University, brought himto the attention of Issai Schur in Berlin, and louis mordell at Manchester. http://www.fmf.uni-lj.si/~mohar/Erdos.html

Some links to internet pages with additional information on Paul Erdos: http://www.math-inst.hu/staff/erdos.html http://www.cs.uchicago.edu/groups/theory/erdos.html http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Erdos.html http://www.oakland.edu/~grossman/erdoshp.html September 24, 1996 Paul Erdos, a Math Wayfarer at Field's Pinnacle, Dies at 83 By GINA KOLATA Paul Erdos, a legendary mathematician who was so devoted to his subject that he lived as a mathematical pilgrim with no home and no job, died Friday in Warsaw, Poland. He was 83. The cause of death was a heart attack, according to an E-mail message sent out this weekend by Dr. Miki Simonovits, a mathematician at the Hungarian Academy of Sciences, who was a close friend. Erdos (pronounced AIR-dosh) was attending a mathematics meeting in Warsaw when he died, Simonovits reported. Never, mathematicians say, has there been an individual like Paul Erdos. He was one of the century's greatest mathematicians, who posed and solved thorny problems in number theory and other areas and founded the field of discrete mathematics, which is the foundation of computer science. He was also one of the most prolific mathematicians in history, with more than 1,500 papers to his name. And, his friends say, he was also one of the most unusual. Erdos, "is on the short list for our century," said Dr. Joel H. Spencer, a mathematician at New York University's Courant Institute of Mathematical Sciences.

39. Pure Mathematics - School Of Mathematics - The University Of Manchester The 1920s and 30s saw Manchester become one of the world s leading centres fornumber theory, with louis mordell and Kurt Mahler holding chairs here. http://www.maths.man.ac.uk/Research/pure/

You are here: School of Mathematics research School of Mathematics RESEARCH pure applied statistics logic ... staff interests RELATED seminars pg admission Pure Mathematics research group 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. Manchester also has a long tradition in algebra, through the work of leading figures such as Bernhard Neumann, Hanna Neumann and Brian Hartley. Today, Manchester continues to sustain its research activity in algebra, group theory, topology and geometry, whilst developing strengths in areas of analysis and theoretical dynamical systems, such as ergodic theory. Our mathematicians are also involved in exciting new trends, such as applications of differential geometry and topology in theoretical physics. We offer the opportunity to study for the degree of PhD in the areas of pure mathematics listed below, as well as a

40. BSHM: Gazetteer -- Acknowledgements And Bibliography louis Joel mordell 18881972. Biog. Memoirs of Fellows of the Royal Society 19 (Dec mordell, louis Joel. Reflections of a Mathematician. Canadian Math. http://www.dcs.warwick.ac.uk/bshm/zingaz/References.html

The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search BSHM Gazetteer Acknowledgements and Bibliography Main Gazetteer A B C D ... Z Written by David Singmaster (zingmast@sbu.ac.uk ). Links to relevant external websites are being added occasionally to this gazetteer but the BSHM has no control over the availability or contents of these links. Please inform the BSHM Webster (A.Mann@gre.ac.uk) of any broken links. [When the gazetteer was edited for serial publication in the BSHM Newsletter, references were omitted since the bibliography was too substantial to be included. Publication on the web permits references to be included for material now being added to the website, but they are still absent from material originally prepared for the Newsletter - TM, August 2002] Acknowledgements and References Return to the top. Acknowledgements I must first express my thanks to Lester H. Lange and Gerald L. Alexanderson for the inspiration to start this compilation. Finally I would like to thank many people unknown to me - porters, guards, custodians, secretaries, librarians, etc., who have let me wander about or even shown me about sites and provided booklets, leaflets, prospectuses, etc.

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