61. Appendix 2: Modern State Of The Golden Section Theory And Its Applications The russian mathematician Kharitonov suggested the measures of Chaos andOrdering (instead of one measure used traditionally) and Law of Information http://www.goldenmuseum.com/2101ResolutionAp2_engl.html

Appendix 2 Modern state of the Golden Section theory and its Applications In the second half of the 20th century the following scientific discoveries and achievements indicated fundamental role of the Golden Section in development of modern Science and Culture are obtained: Egyptology Recently in this area the important scientific discovery overturning our ideas about the knowledge level of the ancient Egyptians is made. Investigating drawings represented on the wooden boards, extracted from the burial place of the Egyptian architect Khesi-Ra, the Russian architect Shmelev came to conclusion, that the graphics images represented on Khesi-Ra boards are "Harmony Theory" encoded by geometry language. This theory was the main science of the Egyptian culture. The Theory of Conjugate Measures of the "Double Square" system was developed (Shevelev). This theory allowed deciphering the working methods of determination of the architectural forms by the Egyptian architects and architects of the Antique Classics and Ancient Russia. A new hypothesis about the origin of the Egyptian calendar is put forward (Stakhov, Soroko). According to this hypothesis the Egyptians put in the basis of their calendar and time and angular values measurement system the numerical parameters of such "sacral" figure as Dodecahedron (12, 30, 60 and 360 = 12

62. List Of Jewish Scientists And Philosophers: Information From Answers.com Georg Cantor, Germanrussian mathematical logician; Philip Dawid, Britishstatistician; Paul Erdös, Hungarian mathematician; John Fox, British statistician http://www.answers.com/topic/list-of-jewish-scientists-and-philosophers

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping List of Jewish scientists and philosophers Wikipedia List of Jewish scientists and philosophers List of Jewish scientists and philosophers Main article: List of Jews See also List of Jewish Nobel Prize winners Biologists and Chemists See Biology and Chemistry Gistav Victor Rudolf Born , Professor of Pharmacology Ernst Chain , winner of 1945 Nobel Prize for work on penicillin Karl Djerassi , Austrian-American chemist Hans Krebs German-born English biologist, discovered Krebs Cycle Gregory Pincus , U.S. biologist, inventor of the birth-control pill Jonas Salk , U.S. medical scientist, inventor of polio vaccine Israel Shahak , Polish-born Israeli chemistry professor, critic of Zionism Lina Stern , Soviet biochemist, inventor of "Soviet penicillin", the only female full member of the USSR Academy of Sciences George Waldbott , German-U.S. physician; allergy and fluoride research pioneer. Chaim Weizmann , Russian-born chemist, first president of the State of Israel Cognitive scientists and psychologists See Cognitive science and Psychology Alfred Adler , Austrian psychoanalyst Solomon Asch , U.S. social psychologist

63. Nikolai Ivanovich Lobachevsky: Information From Answers.com Meaning 1 russian mathematician who independently discovered nonEuclideangeometry (1792-1856) Synonym Lobachevsky http://www.answers.com/topic/nikolai-ivanovich-lobachevsky

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia WordNet Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Nikolai Ivanovich Lobachevsky Encyclopedia Lobachevsky, Nikolai Ivanovich nyÄ­kəlÄ« ēv¤ nəvÄ­ch ləbəchĕf skē ) , 1793–1856, Russian mathematician. A pioneer in non-Euclidean geometry, he challenged Euclid's fifth postulate that one and only one line parallel to a given line can be drawn through a fixed point external to the line; he developed, independently of J¡nos Bolyai, a self-consistent system of geometry (hyperbolic geometry) in which that postulate was replaced by one allowing more than one parallel through the fixed point. Lobachevsky first announced his system in 1826; he subsequently wrote several expositions of it, including Geometrical Researches on the Theory of Parallels (originally pub. 1840 in German; tr. 1891, 1914), and a statement of his completed work, Pang©om©trie (issued 1855 in Russian and French). A graduate of the Univ. of Kazan, he remained there as teacher (1812), professor (1816), and rector (1827). Despite his efficient and devoted service, in 1846 he was relieved by the government of his posts of professor and rector. WordNet Note: click on a word meaning below to see its connections and related words.

64. References For Luzin PI Kuznetsov, Nikolai Nikolaevich Luzin, russian Mathematical Surveys 29 (5) (1974),195208. PI Kuznetsov, Nikolai Nikolaevich Luzin (russian), http://www-groups.dcs.st-and.ac.uk/~history/References/Luzin.html

References for Nikolai Luzin Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: Biography and analysis of Luzin's work, Collected Works of Luzin 3 Vols (Moscow, 1953-59). S S Demidov and B V Levshin, Delo akademika Nikolaya Nikolaevicha Luzina (the academician N N Luzin affair) (Moscow, 1999). Articles: N K Bari and L A Lyusternik, The work on N N Luzin on the metric theory of functions (Russian), Uspekhi Mat. Nauk S S Demidov, From the early history of the Moscow school of function theory, Philosophia Mathematica S S Demidov, A N Parshin and S M Polovinkin, On the correspondence of N N Luzin with P A Florensky (Russian), Istor.-Mat. Issled. No. S S Demidov, A N Parshin, S M Polovinkin and P V Florensky, The correspondence of N N Luzin with P A Florensky (Russian), Istor.-Mat. Issled. No. V S Fedorov, The work of N N Luzin on the theory of functions of a complex variable (Russian), Uspekhi Mat. Nauk C E Ford, The influence of P A Florensky on N N Luzin, Historia Mathematica C E Ford, Mathematics and Religion in Moscow, Mathematical Intelligencer 13 (2) (1991), 24-30.

65. The Age A russian mathematician might have found the answer to one of the great conundrums.Sara Robinson reports. The Age. http://www.theage.com.au/articles/2003/04/30/1051381991349.html

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66. Lobachevsky, Nikolay Ivanovich --  Encyclopædia Britannica Lobachevsky, Nikolay Ivanovich russian mathematician and founder of nonEuclideangeometry, which he developed independently of János Bolyai and Carl Gauss. http://www.britannica.com/eb/article-9048666

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Introduction Life Mathematical research Assessment Additional Reading ... Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Lobachevsky, Nikolay Ivanovich Page 1 of 5 Nikolay Ivanovich Lobachevsky born , Dec. 1 [Nov. 20, Old Style], 1792, Nizhny Novgorod, Russia died Feb. 24 [Feb. 12, Old Style], 1856, Kazan Nikolay Ivanovich Lobachevsky, detail of a portrait by an unknown artist. Novosti Press Agency Russian mathematician and founder of non-Euclidean geometry , which he developed independently of and Carl Gauss . (Lobachevsky's first publication on this subject was in 1829, Bolyai's in 1832; Gauss never published his ideas on non-Euclidean geometry.)

67. Lobachevski, Nikolai --  Britannica Student Encyclopedia Lobachevski, Nikolai (1792–1856), russian mathematician, born in Nizhni Novgorod;cofounder, with Hungarian mathematician János Bolyai, of nonEuclidean http://www.britannica.com/ebi/article-9315324

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Lobachevski, Nikolai Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Lobachevski, Nikolai Student Encyclopedia Article Page 1 of 1 var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Lobachevski, Nikolai." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9315324 APA style: Lobachevski, Nikolai. ( Britannica Student Encyclopedia . Retrieved http://www.britannica.com/ebi/article-9315324

68. Professors Train High School Teachers To Express Mathematical Concepts A classic mathematics book by a russian mathematician and mathematics texts The teachers study the book Algebra by famed russian mathematician Israel M. http://chronicle.uchicago.edu/990218/math.shtml

February 18, 1999 Vol. 18 No. 10 current issue archive / search contact Professors train high school teachers to express mathematical concepts By William Harms News Office A classic mathematics book by a Russian mathematician and mathematics texts from Singapore are providing the foundation for weekly training sessions intended to help nearly 40 Chicago public high school teachers enhance their math instruction skills. The yearlong program, taught in separate seminars by Robert Fefferman, the Louis Block Professor and Chairman of Mathematics, and Robert Zimmer, Senior Associate Provost and the Max Mason Distinguished Service Professor in Mathematics, began in October 1998 and is part of a three-year project to provide additional training in mathematics for Chicago public school teachers. Each seminar also has an experienced instructor: Lydia Polonsky, teacher at the University Laboratory School, and Susan Eddins, a founding teacher of the Illinois Mathematics and Science Academy. The schools and participants in the seminars were selected by two officials of the Chicago Public School Administration, Telkia Rutherford and Clifton Burgess, in cooperation with Paul Vallas, chief executive officer of Chicago Public Schools. The Singapore materials, like many texts from East Asia, are small volumes of problems that students attempt to solve in class and at home. Asian teachers often encourage students to work together on a limited number of problems during the class sessions to develop skills for solving mathematical problems through discussion and teamwork.

69. Sonya Kovalevsky of the conservative russian mathematical establishment and reestablished mathematician to have been commemorated on a russian postage stamp, though. http://scidiv.bcc.ctc.edu/Math/Kovalevsky.html

Sonya Kovalevsky (also Sophia Kovalevskia) born: January 15, 1850 in Moscow, Russia died: February 10, 1891 in Stockholm, Sweden "Many who have never had occasion to learn what mathematics is confuse it with arithmetic, and consider it a dry and arid science. In reality, however, it is the science which demands the utmost imagination [which is more than just making things up] ..... It seems to me that the poet must see what others do not see, must look deeper than others look. And the mathematician must do the same thing. As for myself, all my life I have been unable to decide for which I had the greater inclination, mathematics or literature." Regarded as one of world's best mathematicians in her time. First woman member of Russian Academy of Sciences. First modern European woman to attain full professorship. Established first significant result in general theory of partial differential equations. Prix Bordin winner. Editor of prominent mathematics journal. Gifted writer. Sonya (Korin-Kurkovskaya) Kovalevsky grew up a member of Russia's privileged social class. Her father was a military officer and a land holder; her mother, the granddaughter of a famous Russian astronomer, was an accomplished musician. The family lived comfortably on a country estate, where Sonya, her sister and brother were brought up by a nanny until their education was taken over by governesses and private tutors. If Heidelberg was difficult for women, then Berlin was impossible. Women were, without exception, barred from even unofficial or occasional attendance at lectures. Legend has it that, hoping to discourage her, Weierstrass challenged her with a set of problems he had prepared for his more advanced students. She solved them rapidly, and her solutions were clear and original. When Weierstrass ascertained that Sonya's "personality was [strong enough] to offer the necessary guarantees," he agreed to teach her privately. He soon came to regard her as the most brilliant and promising of all his students and shared with her not only all his university lectures but also his ideas and unpublished work.

70. Lobachevsky, Nikolay Ivanovich 12, OS, 1856, Kazan), russian mathematician who, with János Bolyai of Hungary,is considered the founder of nonEuclidean geometry. http://www.phy.bg.ac.yu/web_projects/giants/lobachevsky.html

Britannica CD Index Articles Dictionary Help Lobachevsky, Nikolay Ivanovich (b. Bolyai of Hungary, is considered the founder of non-Euclidean geometry. Lobachevsky was the son of an impecunious government official. His entire life centred around the University of Kazan, beginning at age 14, when he entered as a student. In 1811 he received the M.A. degree and then taught, from 1816 as extraordinary professor and from 1822 as ordinary professor. His administrative talents were soon recognized; in 1820 he became dean of the faculty of mathematics and physics, in 1825 university librarian, and in 1827 rector of the university, a position he held, with repeated reelections, until 1846. In all of his duties, he exercised remarkable organizing and educational skill in rescuing the university from the chaotic conditions into which it had drifted. The previous administration had reflected the spirit of the later years of Tsar Alexander I, who was distrustful of modern science and philosophy, particularly that of the German philosopher Immanuel Kant, as evil products of the French Revolution and a menace to orthodox religion. The results at Kazan during the years 1819-26 were factionalism, decay of academic standards, dismissals, and departure of some of the best professors, including Johann Martin Christian Bartels, friend of the German mathematician Carl Friedrich Gauss, and Lobachevsky's teacher of mathematics. In 1826 a more tolerant period was inaugurated with the accession of Tsar Nicholas I, and Lobachevsky became the leading innovator at the university, restoring academic standards and faculty harmony. He was active in saving lives during the cholera epidemic of 1830, in rebuilding several university buildings after a devastating fire in 1842, and in popularizing science and modernizing primary and secondary education in the region of Kazan. Although burdened with this work, in addition to a heavy administrative teaching load, he still found time for extensive mathematical research.

71. Mikhail Vasilievich Ostrogradsky -- Facts, Info, And Encyclopedia Article Ostrogradsky is considered to be (Swiss mathematician (17071783)) LeonhardEuler s disciple and the leading russian mathematician of that day. http://www.absoluteastronomy.com/encyclopedia/M/Mi/Mikhail_Vasilievich_Ostrograd

Mikhail Vasilievich Ostrogradsky [Categories: Russian physicists, Ukrainian physicists, 19th century mathematicians, Russian mathematicians, Ukrainian mathematicians, 1862 deaths, 1801 births] Mikhail Vasilievich Ostrogradsky (transcribed also Ostrogradskii (The Slavic language spoken in the Ukraine) Ukrainian (A person skilled in mathematics) mathematician (Click link for more info and facts about mechanician) mechanician and (A scientist trained in physics) physicist . Ostrogradsky is considered to be (Swiss mathematician (1707-1783)) Leonhard Euler 's disciple and the leading Russian mathematician of that day. (Click link for more info and facts about Imperial Russia) Imperial Russia (now (A republic in southeastern Europe; formerly a European soviet; the center of the original Russian state which came into existence in the ninth century) Ukraine ). From 1816 to 1820 he studied under Timofei Fedorovich Osipovsky (1765-1832) and graduated from the University of (A city in northeastern Ukraine; former capital of the Ukraine) Kharkov . When 1820 Osipovsky was suspended on religious base, Ostrogradsky refused to be examined and he never received his

72. TheWorldJournal.com News Forums - Powered By XMB 1.9.1 Nexus Celebrated Math Problem Solved, Says russian Mathematician A russian mathematicianis reporting that he has proved the Poincaré Conjecture, one of the most http://www.theworldjournal.com/forum/viewthread.php?tid=315

73. Kalinkin Publications (In russian; English transl. in russian Mathematical Surveys, 2001, v. 56, no.3.) kalin3u.ps; Markov’s model of the twosex population. http://www.bmstu.ru/~kalinkin/data_english.htm

Main research subjects Markov processes with interaction. Exact solutions of the linear Kolmogorov’s equations We consider Markov processes, with countable set of states, interpreted as systems of particles of several types that interact as complexes for which the result of interaction with a complex of particles does not depend on the presence of other particles in the system. The apparatus of multivariate generating functions is used to find exact closed solutions of the first and second Kolmogorov system of differential equations for the transition probabilities. In our examples analytic methods are used to consider actual transmutation processes of particles in diverse domains of science. Kolmogorov’s third equation for Markov’s processes The transition probabilities of Markov processes with countable state space satisfy the first and second systems of differential equations, which are linear. The Markov branching process introduced in [Kolmogorov A.N., Dmitriev N.A. Random branching processes. Doklady Akademii Nauk SSSR, 1947, v. 56, no. 1, p. 7-10. (In Russian.)] was described as a process of evolution of particles; under the assumption that the individual evolving particles are independent of one another, a non-linear first-order differential equation was obtained in [DAN, 1947] for the generating functions of transition probabilities of such a process. The authors of the paper stressed: " ... the remark shows that our ’branching stochastic processes’ are in fact only a special case

74. Mathematician@Everything2.com russian mathematician who worked mainly on probability theory. russianmathematician remembered for the CauchyKovalevskaya Theorem, for her work on http://www.everything2.com/index.pl?node=mathematician

75. Russian Mathematician May Have Solved 100 Year Old Math Mystery But an introverted russian mathematician who normally keeps himself isolated mayhave solved it. The Poincare conjecture states that if a 3manifold that is http://www.atsnn.com/story/28796.html

Main News RSS Feed War RSS Feed Sci/Tech RSS Feed Conspiracy RSS Feed ... Op/Ed RSS Feed ATSNN.com is brought to you by the staff and members of the Above Top Secret discussion board , the Internet's most respected source for discussion on alternative topics. All content on ATSNN is pulled from the discussion threads in the AboveTopSecret.com news forum. About AboveTopSecret.com ATS 2004 ATS 2003 9/11 Conspiracy ... ATS Member Blogs Russian Mathematician May have Solved 100 Year Old Math Mystery Posted by: Valhall On: Wed January, 7 2004 @ 15:14 GMT It's called the Poincare Conjecture. And for over a 100 years it has gone unsolved. It may stand as the most famous unsolved problem in math. But an introverted Russian mathematician who normally keeps himself isolated may have solved it. The Poincare conjecture states that if a 3-manifold that is homotopy equivalent to the 3-sphere is in fact homeomorphic to it (from PlanetMath.org). If you re-write this as n-manifold and n-sphere, where n is the dimensions in which the topographic shapes are being defined, the statement is known to be true for all n, EXCEPT 3. So basically, Poincare's conjecture has remained unsolved for 3-D space. There have been many attempts, but none have lasted long under scrutiny. Grisha Perelman came out of isolation in November 2002 and presented his work on the Poincare Conjecture. Since then mathematicians around the world have been pouring over his exhaustive and complex papers and have yet been unable to find fault.

76. MSN Encarta - Calculus (mathematics) In the 18th century, the great Swissrussian mathematician Leonhard Euler, In the next decade, the russian mathematician NI Lobachevsky and German http://encarta.msn.com/encyclopedia_761568582_2/Calculus_(mathematics).html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Upgrade your Encarta Experience Spend less time searching and more time learning. Learn more Tasks Find in this article Print Preview Related Items definition and scope of study differential calculus more... Further Reading Editors' picks for Calculus (mathematics) Search for books and more related to Calculus (mathematics) Encarta Search Search Encarta about Calculus (mathematics) Editors' Picks Great books about your topic, Calculus (mathematics) ... Click here Advertisement document.write(' Page 2 of 2 Calculus (mathematics) Encyclopedia Article Multimedia 5 items Article Outline Introduction Differential Calculus Integral Calculus Differential Equations ... Development of Calculus V Development of Calculus Print Preview of Section The English and German mathematicians, respectively, Isaac Newton and Gottfried Wilhelm Leibniz invented calculus in the 17th century, but isolated results about its fundamental problems had been known for thousands of years. For example, the Egyptians discovered the rule for the volume of a pyramid as well as an approximation of the area of a circle. In ancient Greece, Archimedes proved that if c is the circumference and d the diameter of a circle, then 3

77. Sofia Vasilyenvna Kovalevskaya science which demands the greatest imagination. 19th century woman russianmathematician Sofia Kovalevskaya, 19thcentury woman russian mathematician http://www.nohum.k12.ca.us/msd/mck/classrm/sheridan/sofia/sofia.htm

Sofia Vasilyenvna Kovalevskaya A Incredible, and very magnificent Women Mathematician of the late 1800's! "Picture Of Sophia at 23 yrs.." The Story Of The Famous Sofia Kovalevskaya The mathematician I chose for my biography was a very intelligent female, from Russia. I will be telling you about her life from birth through death. I will tell you about her contributions to the world of mathematics. I will also tell you about important things in her life. This mathematician's name is Sofia Vasilyenvna Kovalevskaya. Sofia was born January 15, 1850, in Moscow, Russia. Sofia quite often in her older years went by Sonya. Sofia was the middle child of Vasily Korvin-Krukvosky. Her parents both were well educated and of Russian Nobility. When Sofia was young only her governess and tutors educated her. Sofia started getting involved in mathematics at a young age. She gained this liking from her uncle, who as she quoted in her autobiography always was talking about the subject with her. By age 11 she had on her nursery walls notes of math from lectures people gave. She quite

78. Biographies The russian mathematician Chebyshev established the inequality that gives an The russian mathematician Markov is best known for his study of a class of http://www.fmi.uni-sofia.bg/vesta/Virtual_Labs/resources/resources3.html

Biographical Notes Bayes was a non-conformist minister in England. A version of what is now known as Bayes’ theorem was used in his paper "Essay towards solving a problem in the doctrine of chances," published in the Philosophical Transactions of the Royal Society of London in 1764. James Bernoulli was the first of the famous Bernoulli family of Swiss mathematicians. He wrote one of the early books devoted to probability, Ars Conjectandi , which was published after his death in 1713. Bernoulli formulated the version of the law of large numbers for independent trials, now called Bernoulli trials, and studied the binomial distribution. Buffon was the director of the Paris Jardin du Roi and was best known during his time for his thirty-six volume work on natural history. Buffon's famous coin and needle problems are considered to be among the first problems in geometric probability. Cardano, who lived in Italy, was a man of many interests: law, medicine, astrology, gambling, and mathematics. His book Liber de Ludo Aleae (The Book on Games of Chance), published after his death in 1663, contained perhaps the first mathematical analysis of gambling.

79. Vadim Arsenyevich Efremovich - Slider References. Vadim Arsen evich Efremovich (obituary), in russian MathematicalSurveys 456 (1990), pp 137–138. This biographical article about a http://enc.slider.com/Enc/Vadim_Arsenyevich_Efremovich

Advanced Help Encyclopedia Directory Encyclopaedia V Va Vaa ... Vaz Vadim Arsenyevich Efremovich c. May 1 ) was a Russian mathematician. (The spelling "Efremovic" is often seen.) general topology . He introduced the notion of proximity spaces at the First International Topological Conference in Moscow in . He was imprisoned from to , and did not publish on proximity spaces until metric spaces . These have proven to be very important in the study of manifolds and hyperbolic geometry References Vadim Arsen'evich Efremovich (obituary), in Russian Mathematical Surveys This biographical article about a mathematician is a stub. You can help Wikipedia by expanding it Categories: Mathematician stubs Russian mathematicians Links: Shopping Dental Plans Paid Inclusion Femail ... - Simply Amazing Content is distributed under the GNU Free Documentation License

80. Russian Mathematical Portal Math-Net.RU RU is developing as overall russian Mathematical Portal, giving for russianmathematicians any facilities in information search and communication with their http://mathnet.ru/about.html?locale=en

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