Extractions: by Karen Shenfeld In his book Mathematical Thought from Ancient to Modern Times, American mathematician Morris Kline notes that no branch of mathematics, or even a major result, has arisen from the work of one man; at best, some decisive step may be credited to a single individual. The cumulative nature of the development of mathematics is especially evident in the history of non-Euclidean geometry. A complete account, such as Robert Bonola's Non-Euclidean Geometry, would have to consider the accomplishments of Gerolamo Saccheri (1667-1733), Georg S. Klugel (1739-1812), Heinrich Lambert (1728-1777), Ferdinand Karl Schweikart (1780-1859), and Carl Friedrich Gauss (1777-1855). By the age of 15, Gauss had apparently grasped the idea that there could be invented a logically consistent geometry that was different from Euclid's. He began work on the creation of such a geometry around 1813, and there is evidence that he was successful. But because he never published any fully developed mathematical exposition of his work, historians of mathematics do not credit him as the discoverer of non-Euclidean geometry. That honour is usually reserved for two mathematicians who independently achieved results about the same time: Janos Bolyai and N.I. Lobacevskii. There is some indication that Bolyai, a Hungarian, had realized his ideas on non-Euclidean geometry by 1825. In a letter to his father, the mathematician Wolfgang Farkas Bolyai, dated November 23, 1823, he wrote, "I have made such wonderful discoveries that I myself am lost in astonishment." He did not, however, publish his results - encapsulated in a 26-page paper entitled "The Science of Absolute Space" - until 1832. The first mathematician to publish a definitive work on non-Euclidean geometry was Nikolai Ivanovich Lobacevskii. His paper, "On the Foundations of Geometry," appeared in the Journal of the University of Kazan in 1829. He continued to develop and propagate his ideas in a series of papers, culminating in the "Pangeometrie" (1855), which he dictated as a blind old man who still retained his energy and strength of mind. He was, without doubt, Russia's first great mathematician.
BSHM: Abstracts -- D occupied with its fundamental problems, and after a break from 1913 to 1923 he returnedto topology under the influence of a much younger man, pavel urysohn. http://www.dcs.warwick.ac.uk/bshm/abstracts/D.html
Extractions: The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - D Dadic, Zarko, The earliest geometrical works of Marin Getaldic, in R. Calinger (ed), Vita mathematica: historical research and integration with teaching , Washington: MAA 1996, 115-123 Institutional patterns developed during WW2 ledto the rise of new fields in applied mathematics. Established divisions and hierarchies underwent upheavals. A different persona emerged for the mathematician, exemplified by John von Neumann. Attempts to institutionalise applied mathematics in the US were resisted, though, and the subject remained marginalised in the international mathematical community until the 1970s. Dale, A. I. Thomas Bayess work on infinite series, Historia mathematica Apart from his published letter on the divergence of the series for log z!, Bayes left unpublished material on infinite series, here examined and related to the published work. The series received extensive investigation in a notebook; this investigation perhaps made Bayes aware of the divergence of the series for log z! Dalen, Dirk van, Luitzen Egbertus Jan Brouwer, I M James (ed)
Full Alphabetical Index Translate this page UV. Uhlenbeck, George (159*) Ulam, Stanislaw (295*) Ulugh Beg (327)Upton, Francis (59) urysohn, pavel (188*). Vacca, Giovanni (707 http://www.geocities.com/Heartland/Plains/4142/matematici.html
Famous Ukrainians The site provides links and comments to famous people of Ukrainian ancestry, particularly those known Category Regional Europe Ukraine Guides and Directories called Gauss' theorem; Ostogradsky gave its first published proof), Anatoli Skorokhod(as in the Skorokhod topology in probability), pavel urysohn (as in http://www2.uwindsor.ca/~hlynka/ukfam.html
Extractions: The Famous Ukrainians List is a list of over three hundred people with links discussing their contributions. The people listed were either born in what are today's boundaries of Ukraine, or were/are of Ukrainian ancestry. The emphasis is on people who would be known OUTSIDE Ukraine within their particular area of specialization. This list is maintained by Dr. Myron Hlynka , Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada. hlynka@uwindsor.ca If you are interested in the Mathematics and Statistics program at the University of Windsor, click HERE. The concept for The Famous Ukrainians Web Page came from the Montreal ukemonde (www.ukemonde.com) list of Montreal famous Ukrainians and from the nomination form of Dr. Roman Yereniuk for the World's hundred most important Ukrainians, as suggested in the Ukrainian Voice newspaper in December, 1999. In addition, an article in the Spring, 2000 issue of FORUM: A Ukrainian Review, (Number 101), written by Andrew Gregorovich, is titled "Hall of Fame of Ukraine." It is highly recommended. For general information on Forum magazine, see http://www.angelfire.com/folk/ufa/forum.html
This Page Is Dedicated To The City Of Odessa Mathematicians. This is a coauthor of the Krein-Mliman theorem.);David Oistrakh; Evgenij Petrov; pavel urysohn; Leonid Utesov. Home http://www.math.uci.edu/~sadovsky/odessa.html
Andrei Nikolaevich Kolmogorov Handwriting of AN Kolmogorov. PS Aleksandrov pavel Samuilovich urysohn. PSAleksandrov Luzin's Mathematical School AN Kolmogorov and PS Aleksandrov. http://kolmogorov.com/Kolmogorov.html
Mathematics Authors/titles Mar 2002 Title On the quantum KazhdanLusztig functor Authors pavel Etingof, Adriano TitleDistance matrices, random metrics and urysohn space Authors A. Vershik (St http://arxiv.org/list/math/0203
Mathematics Authors/titles Apr 2000 Title RamseyMilman phenomenon, urysohn metric spaces, and extremely amenable VIquantization of generalized Kac-Moody algebras Authors pavel Etingof, David http://arxiv.org/list/math/0004
Alexandroff Seminar On General Topology, History This seminar was the first regular meeting of developing Moscow topological school.It was organized in 1924 by pavel S. Alexandroff and pavel S. urysohn. http://mech.math.msu.su/~anyak/Alexandroff-seminar/history.htm
Extractions: History and General Information This seminar was the first regular meeting of developing Moscow topological school. It was organized in 1924 by Pavel S. Alexandroff and Pavel S. Urysohn. Starting from its first sessions, the most famous specialists in Topology and related fields participated in its work. Alexandroff supervised this seminar for a period of almost 60 years, until his death in 1982. In the period 1982-1983 the seminar was supervised by Yuri M. Smirnov. Since 1983 the seminar is supervised by Vitaly V. Fedorchuk , Head of Department of General Topology and Geometry of Moscow University. Nowadays this seminar, being the principal research seminar of Department of General Topology and Geometry, has actually grown from all-Moscow to all-Union scope, since it is frequently attended by scientists from different institutions of the Soviet Union (now Russia and CIS). Topologists from the World visiting Moscow do also take part in the seminar sessions and deliver lectures. The following Moscow topologists (beside the associates of the Department ) are active participants of the seminar: Alexander G. Yel'kin
August 17 in Georgia In 1920, Ray Chapman, hit in the head by Yanks' Carl Mays pitch, diesIn 1924, pavel S Paul urysohn, Russian mathematician, drowns at 26 In 1924 http://www.dailyalmanacs.com/almanac2/august/0817.html
A V Arkhangelskii 1. pavel Samuilovich urysohn (18981924) AV Arkhangelskii, VM Tikhomirov RussianMathematical Surveys, Volume 53(1998), Number 5, Pages 875-892. http://www.turpion.ru/php/author.phtml?authorid=8982
What Happened On This Day That Year - 1924 Tom Kendall, cricketer (14 wickets in Australia's 1st two Tests), dies 1924 pavel S Paul urysohn, Russian mathematician, drowns at 26 1927 Horace http://www22.brinkster.com/tdty/default.asp?dt=0817&cat=2
Volume 25, Number 1, 1999 Key words pointwise convergence, C p (x), gspace, Frechet-urysohn property, strictly PRESERVINGMAPPINGS IN THE HELM TOPOLOGY IN THE PLANE pavel Pyrih pyrih http://www.math.bas.bg/~serdica/n1_99.html
UV Index Uhlenbeck, Karen (1114*) Ulam, Stanislaw (1422*), Ulugh Beg (1219*) Umawi, Abu al(1014) Uqlidisi, Abu'l al(1028), Upton, Francis (359*) urysohn, pavel (1391*). http://math.ichb.ro/History/Indexes/UV.html
HJM, Vol. 28, No. 4, 2002 Napoli (Italy)} (degiova@matna2.dma.unina.it) and pavel Shumyatsky, Department ofHahnMazurkiewicz Theorem, as well as Alexandroff-urysohn characterization of http://www.math.uh.edu/~hjm/Vol28-4.html
Extractions: ABSTRACT. Let A and B be modules, which are faithfully flat over their endomorphism ring. The categories of A-solvable and B-solvable modules coincide if and only if A and B are similar. While similar modules have Morita equivalent endomorphism rings, the failure of the converse raises the question which module-theoretic properties are shared by modules with equivalent endomorphism rings. This paper addresses this question by investigating equivalences between full subcategories of the categories of A- and B-solvable modules, respectively. In particular, every equivalence between the category of A-solvable and the category of B-solvable modules is induced by a Morita equivalence between E(A) and E(B) if A and B are faithfully flat as modules over their endomorphism ring. Several examples show that these results may fail without the faithfulness condition.
Contents Of CMUC 1999 (3) Camillo Costantini On a problem of Nogura about the product of Fr\'echeturysohn$\delimiter 426830A (Abstract, Full text (PS - 166 kB, PDF)) pavel Pyrih An http://www.emis.de/journals/CMUC/cmuc9903/cmuc9903.htm
Extractions: E. Ballico Vanishing of sections of vector bundles on 0-dimensional schemes. Comment.Math.Univ.Carolinae 40,3 (1999) 403-411. ( Abstract Full text (PS - 173 kB PDF) B.J. Gardner, Tim Stokes Closure rings. Comment.Math.Univ.Carolinae 40,3 (1999) 413-427. ( Abstract Full text (PS - 210 kB PDF) Melvin Henriksen, F.A. Smith The Bordalo order on a commutative ring. Comment.Math.Univ.Carolinae 40,3 (1999) 429-440. ( Abstract Full text (PS - 172 kB PDF) On a generalization of QI-rings. Comment.Math.Univ.Carolinae 40,3 (1999) 441-446. ( Abstract Full text (PS - 113 kB PDF) Joso Vukman An identity related to centralizers in semiprime rings. Comment.Math.Univ.Carolinae 40,3 (1999) 447-456. ( Abstract Full text (PS - 117 kB PDF) On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions. Comment.Math.Univ.Carolinae 40,3 (1999) 457-475. ( Abstract Full text (PS - 231 kB PDF) Gary M. Lieberman Nonuniqueness for some linear oblique derivative problems for elliptic equations. Comment.Math.Univ.Carolinae 40,3 (1999) 477-481. (
Colloquia And Seminars 2002, 410PM, A. Vershik,POMI RAN, Petersburg and MSRI, Universal urysohn spaceand Mon, May 24 1999, 410PM, pavel Bleher, Indiana UniversityPurdue University http://www.math.ucdavis.edu/research/seminars?type=7&when=past
Www.math.niu.edu/~rusin/known-math/98/MSC.names Pave (18971942) Saks, Stanislaw (1897-1954) Post, Emil (1897-1965) Maeda, Fumitomo(1897-1979) Weinstein, Alexander (1898-1924) urysohn, pavel (1898-1957 http://www.math.niu.edu/~rusin/known-math/98/MSC.names
