1. Pafnuty Lvovich Chebyshev Pafnuty Lvovich Chebyshev 18211894 In 1847, Pafnuty Chebyshev was appointedto the University of St. Petersburg. He became a foreign http://www.stetson.edu/~efriedma/periodictable/html/Ce.html

Pafnuty Lvovich Chebyshev In 1847, Pafnuty Chebyshev was appointed to the University of St. Petersburg. He became a foreign associate of the Institut de France in 1874 and also of the Royal Society. His work on prime numbers included the determination of the number of primes not exceeding a given number. He wrote an important book on the theory of congruences in 1849. In his work on integrals, he generalized the beta function. Chebyshev was also interested in mechanics, and studied the problems involved in converting rotary motion into rectilinear motion by mechanical coupling. The Chebyshev parallel motion is three linked bars approximating rectilinear motion. He wrote about many subjects, including probability theory, quadratic forms, orthogonal functions, the theory of integrals, the construction of maps, and the calculation of geometric volumes.

2. Chebyshev Work on prime numbers included the determination of the number of primes not exceeding a given number, Category Science Math History People......Pafnuty Lvovich Chebyshev. Born Pafnuty Chebyshev's parents were AgrafenaIvanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia Click the picture above to see five larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Pafnuty Chebyshev 's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty was born in Okatovo, a small town in western Russia, west of Moscow. At the time of his birth his father had retired from the army, but earlier in his military career Lev Pavlovich had fought as an officer against Napoleon's invading armies. Pafnuty Lvovich was born on the small family estate into a upper class family with an impressive history. Lev Pavlovich and Agrafena Ivanova had nine children some of whom followed in their father's military tradition. Let us say a little about life in Russia at the time Pafnuty Lvovich was growing up. There was a great deal of national pride in the country following the Russian defeat of Napoleon, and their victory led to Russia being viewed by other European countries with a mixture of fear and respect. On the one hand there was those in the country who viewed Russia as superior to other countries and argued that it should isolate itself from them. On the other hand, educated young Russians who had served in the army had seen Europe, learned to read and speak French and German, knew something of European culture, literature, and science, and they argued for a westernisation of the country. Pafnuty Lvovich's early education was at home where both his mother and his cousin Avdotia Kvintillianova Soukhareva were his teachers. From his mother he learnt the basic skills of reading and writing, while his cousin acted as a governess to the young boy and taught him French and arithmetic. Later in life Pafnuty Lvovich would greatly benefit from his fluency in French, for it would make France a natural place to visit, French a natural language in which to communicate mathematics on an international stage, and provide a link with the leading European mathematicians. All was not easy for the young boy, however, for with one leg longer than the other he had a limp which prevented him from taking part in many of the normal childhood activities.

3. Quotation By Pafnuty Chebyshev Pafnuty Chebyshev (1821 1894). To isolate mathematics from the practical demandsof the sciences is to invite the sterility of a cow shut away from the bulls. http://www-gap.dcs.st-and.ac.uk/~history/Quotations2/1208.html

Pafnuty Chebyshev To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls. Quoted in G Simmons, Calculus Gems (New York 1992).

4. Pafnuty Lvovich Chebyshev Pafnuty Lvovich Chebyshev. En Construccisn. Back to Home. http://www.terra.es/personal3/mlarby/chebyshev.htm

Pafnuty Lvovich Chebyshev En Construccisn Back to Home

5. Chebyshev Pafnuty Lvovich Chebyshev. Born 16 May 1821 in Okatovo, Russia Died8 Dec 1894 in St Petersburg, Russia. See a Russian article from http://www.mathsoc.spb.ru/pantheon/chebyshe/

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia See a Russian article In 1847 Chebyshev was appointed to the University of St Petersburg. He became a foreign associate of the Institut de France in 1874 and also of the Royal Society. His work on prime numbers included the determination of the number of primes not exceeding a given number. He wrote an important book Teoria sravneny on the theory of congruences in 1849. In 1845 Bertrand conjectured that there was always at least one prime between n and 2n for n > 3. Chebyshev proved Bertrand's conjecture in 1850. Chebyshev also came close to proving the prime number theorem, proving that if In his work on integrals he generalised the beta function and examined integrals of the form p (1-x) q dx. Chebyshev was also interested in mechanics and studied the problems involved in converting rotary motion into rectilinear motion by mechanical coupling. The Chebyshev parallel motion is three linked bars approximating rectilinear motion. He wrote about many subjects, including probability theory, quadratic forms, orthogonal functions, the theory of integrals, the construction of maps, and the calculation of geometric volumes.

6. Chebyshev Pafnuty Lvovich Chebyshev. Born 16 May Pafnuty Chebyshev is largely rememberedfor his investigations in number theory. In 1847 Chebyshev http://tam.cornell.edu/courses/310Sp97/Lec12Feb/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia Previous (Chronologically) Next Biographies Index Previous ( Alphabetically) Next Welcome page Pafnuty Chebyshev is largely remembered for his investigations in number theory. In 1847 Chebyshev was appointed to the University of St Petersburg. He became a foreign associate of the Institut de France in 1874 and also of the Royal Society. His work on prime numbers included the determination of the number of primes not exceeding a given number. He wrote an important book Teoria sravneny on the theory of congruences in 1849. In 1845 Bertrand (n)log n)/n then that limit is 1. He was unable to prove, however, that lim ( exists. The proof of this result was only completed two years after Chebyshev's death by Hadamard and (independently) de la In his work on integrals he generalised the beta function and examined integrals of the form x (1-x) dx. Chebyshev was also interested in mechanics and studied the problems involved in converting rotary motion into rectilinear motion by mechanical coupling. The Chebyshev parallel motion is three linked bars approximating rectilinear motion. He wrote about many subjects, including probability theory, quadratic forms, orthogonal functions, the theory of integrals, the construction of maps, and the calculation of geometric volumes.

7. WWW Resources: Statistics Gemmell Wilks Samuel Stanley Kolmogorov Andrey Nikolaevich Smirnov Vladimir IvanovichGosset William Sealey Neyman Jerzy chebyshev pafnuty Lvovich Yates Frank http://www.ulg.ac.be/cogsci/Links/Statistics.html

College of Psychology and Education WWW Resources: Statistics Famous Statisticians Free Software Commercial Software Fisher, Gossett, Pearson... General Packages Subset Packages Programming languages Miscellaneous Statistica '99, Systat 9, ... General Textbooks Books related to specific software Online Journals We want to express our thanks to the professor John C. Pezzullo. If you want to consult more information on statistics, please refer to his webpage: http://StatPages.net famous statisticians Portraits of Statisticians (Lots of pics in GIF or JPG format) The department of Mathematics from the University of York proposes a exhaustive list of over 200 famous statisticians from the 17th century Bernoulli and the 18th century Reverend Bayes and Arbuthnot to the recent ones such as Fisher, Galton and Gosset. Pearson Karl Fisher Ronald Aylmer Cochran William Gemmell Wilks Samuel Stanley ... Tukey John Wilder Free Software This page contains links to free software packages that you can download and install on your computer for stand-alone (offline, non-Internet) computing. They are listed below, under the following general headings: General Packages : support a wide variety of statistical analyses Subset Packages : deal with a specific area of analysis, or a limited set of tests

8. Pafnuty Lvovich Chebyshev - Acapedia - Free Knowledge, For All acapedia.org main. acapedia.org home acapedia feedback. Friends of AcapediaPafnuti Chebyshev. (Redirected from Pafnuty Lvovich Chebyshev). http://acapedia.org/aca/Pafnuty_Lvovich_Chebyshev

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9. Chebyshev Pafnuty Lvovich Chebyshev. Born 16 Petersburg, Russia. In 1847 PafnutyChebyshev was appointed to the University of St Petersburg. http://kspu.kaluga.ru/history/English/Chebyshev/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia In 1847 Pafnuty Chebyshev was appointed to the University of St Petersburg. He became a foreign associate of the Institut de France in 1874 and also of the Royal Society. His work on prime numbers included the determination of the number of primes not exceeding a given number. He wrote an important book Teoria sravneny on the theory of congruences in 1849. In 1845 Bertrand conjectured that there was always at least one prime between n and 2 n for n n )log n n had a limit as n then that limit is 1. He was unable to prove, however, that lim n )log n n as n exists. The proof of this result was only completed two years after Chebyshev's death by Hadamard and (independently) de la In his work on integrals he generalised the beta function and examined integrals of the form x p x q dx Chebyshev was also interested in mechanics and studied the problems involved in converting rotary motion into rectilinear motion by mechanical coupling. The Chebyshev parallel motion is three linked bars approximating rectilinear motion. He wrote about many subjects, including

10. Virtual Encyclopedia Of Mathematics chebotaryov nikolai grigorievich chebyshev pafnuty lvovich chern shiingshen christoffelelwin bruno chrystal george chu shih-chieh chuquet nicolas church http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html

Super-Index of Biographies of Mathematicians abel niels henrik abraham bar hiyya ha-nasi abraham max abu kamil shuja ibn aslam ibn muhammad ... zygmund antoni This index was automatically generated using a new tagging program written by Simon Plouffe at LaCIM

11. Chebyshev Pafnuty Lvovich Chebyshev. Born 16 May 1821 In 1847 Pafnuty Chebyshev wasappointed to the University of St Petersburg. He became a foreign http://www.math.hcmuns.edu.vn/~algebra/history/history/Mathematicians/Chebyshev.

12. Chebyshev Work on prime numbers included the determination of the number of primes not exceeding a given number, wrote an important book on the theory of congruences, proved that there was always at least one prime between n and 2n for n 3. http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia Click the picture above to see five larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Pafnuty Chebyshev 's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty was born in Okatovo, a small town in western Russia, west of Moscow. At the time of his birth his father had retired from the army, but earlier in his military career Lev Pavlovich had fought as an officer against Napoleon's invading armies. Pafnuty Lvovich was born on the small family estate into a upper class family with an impressive history. Lev Pavlovich and Agrafena Ivanova had nine children some of whom followed in their father's military tradition. Let us say a little about life in Russia at the time Pafnuty Lvovich was growing up. There was a great deal of national pride in the country following the Russian defeat of Napoleon, and their victory led to Russia being viewed by other European countries with a mixture of fear and respect. On the one hand there was those in the country who viewed Russia as superior to other countries and argued that it should isolate itself from them. On the other hand, educated young Russians who had served in the army had seen Europe, learned to read and speak French and German, knew something of European culture, literature, and science, and they argued for a westernisation of the country. Pafnuty Lvovich's early education was at home where both his mother and his cousin Avdotia Kvintillianova Soukhareva were his teachers. From his mother he learnt the basic skills of reading and writing, while his cousin acted as a governess to the young boy and taught him French and arithmetic. Later in life Pafnuty Lvovich would greatly benefit from his fluency in French, for it would make France a natural place to visit, French a natural language in which to communicate mathematics on an international stage, and provide a link with the leading European mathematicians. All was not easy for the young boy, however, for with one leg longer than the other he had a limp which prevented him from taking part in many of the normal childhood activities.

13. Encyclopædia Britannica Encyclopædia Britannica. chebyshev, pafnuty Lvovich. Encyclopædia Britannica Article http://www.britannica.com/eb/article?eu=23095

14. GIGA Quote Author Page For Pafnuty Lvovich Chebyshev school pafnuty chebyshev Born 16 May 1821 in Okatovo, Russia Died 8 Dec 1894 in St Petersburg, Russia In 1847 pafnuty chebyshev was appointed to the University of St Petersburg. http://www.giga-usa.com/gigaweb1/quotes2/quautchebyshevpafnutyx001.htm

Home Page Biographical Index Reading List Internet Links ... Quote Links AUTHOR LAST NAME: A B C D ... Z TOPICS FOR QUOTES: A B C D ... QUOTATIONS GIGA QUOTES BY AUTHOR PAFNUTY LVOVICH CHEBYSHEV Russian mathematician (1821 - 1894) BUY BOOK RELATED TO PAFNUTY LVOVICH CHEBYSHEV To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls. - "Calculus Gems" by G.F. Simmons (198) [ Mathematics WWW.GIGA-USA.COM Back to Top of Page SUPPORT GIGA: Honor System Amazon Office Depot Target ... Field's The GIGA name and the GIGA logo are trademarks registered in the U.S. Patent and Trademark Office by John C. Shepard. Last Revised: 2003 February 25

15. References For Chebyshev References for the biography of pafnuty chebyshev References for pafnuty chebyshev. Biography in Dictionary of Scientific Biography (New York 19701990). http://www.mathsoc.spb.ru/pantheon/chebyshe/ref.html

References for Pafnuty Chebyshev Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: H Bernhard, Chebyshev, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). A M Lyapunov, Pafnuty Lvovich Chebyshev (Kharkov, 1895). Articles: P L Butzer and F Jongmans, P L Chebyshev (1821-1894) and his Contacts with Western European Scientists, Historia Mathematica M G Cox, Piecewise Chebyshev series, Bull. Inst. Math. Appl. V I Dzyadyk, A result of P L Chebyshev in approximation theory (Russian), Istor.-Mat. Issled. G B Halsted, Biography. Pafnutij Lvovitsch Tchebychey, Amer. Math. Monthly S N Kruzhkov, On the 170th anniversary of the birth of P L Chebyshev (Russian), Vestnik Moskov. Univ. Ser. I Mat. Mekh. M I Pulatova, The Chebyshev mathematical school (Russian), in Achievements in the development of the mathematical sciences (Kiev, 1994), 17-23. R Roy, The work of Chebyshev on orthogonal polynomials, in Topics in polynomials of one and several variables and their applications (River Edge, NJ, 1993), 495-512.

16. Poster Of Chebyshev pafnuty chebyshev. lived from 1821 to 1894. chebyshev is largely remembered for his investigations in number theory. http://www-groups.dcs.st-and.ac.uk/~history/Posters2/Chebyshev.html

Pafnuty Chebyshev lived from 1821 to 1894 Chebyshev is largely remembered for his investigations in number theory. Chebyshev was also interested in mechanics and is famous for the orthogonal polynomials he invented. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Chebyshev.html

17. Chebyshev, Pafnuty (1821-1894) -- From Eric Weisstein's World Of Scientific Biog chebyshev, pafnuty (18211894), Russian mathematician who made contributionsto number theory, algebra, probability, analysis, and applied mathematics. http://scienceworld.wolfram.com/biography/Chebyshev.html

Branch of Science Mathematicians Nationality Russian Chebyshev, Pafnuty (1821-1894) Russian mathematician who made contributions to number theory, algebra, probability, analysis, and applied mathematics. He put limits on the asymptotic limit of the totient function which allowed him to prove Bertrand's postulate Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

18. Photo Credits From Eric Weisstein's World Of Scientific Biography Chasles, Michel (17931880) MacTutor chebyshev, pafnuty (1821-1894) MacTutor Christodoulou,Demetrios (1951-) http//www.ams.org/notices/199904/comm-bocher http://scienceworld.wolfram.com/biography/photo-credits.html

scienceworld@wolfram.com Abbe, Ernst (1840-1905) : MacTutor Abel, Niels Henrik (1802-1829) : MacTutor Adams, John Couch (1819-1892) : MacTutor Airy, George (1801-1892) : MacTutor Al-Khwarizmi, Muhammed ibn Musa (ca. 780-ca. 850) : MacTutor Albertus Magnus (1193-1280) : MacTutor : Asimov Appell, Paul Emile (1855-1930) : Special functions poster Appleton, Edward V. (1892-1965) : Hey, J. S. The Evolution of Radio Astronomy. p. 75 Arago, Dominique (1786-1853) : MacTutor Archimedes of Syracuse (ca. 287-ca. 212 BC) : Asimov Aristotle of Stagira (384-322 BC) : Asimov Armstrong, Edwin (1890-1954) : Lewis, T. Empire of the Air. p. 118f. Arnol'd, Vladimir : Oleg's newspaper clipping Arrhenius, Svante (1859-1927) : Asimov Asclepius (ca. 1200 BC) : Lindberg, D.C The Beginning of Western Science. p. 112. Baade, Walter (1893-1960) : Sullivan. The Early Years of Radio Astronomy. p. 74 Babbage, Charles (1791-1871) : http://www.fourmilab.ch/babbage/figures/babbage.jpg Bacon, Roger (1220-1292) : Asimov 108f Barnes, Ernest (1874-1953) : Special functions poster Barrow, Isaac (1630-1677)

19. Pafnuty Lvovich Chebyshev (1821-1894) pafnuty Lvovich chebyshev (18211894). PL chebyshev at MacTutor. PL chebyshev atEncyclopaedia Britannica. PL chebyshev at the Mathematics Genealogy Project. http://www.math.technion.ac.il/hat/che.html

Pafnuty Lvovich Chebyshev (1821-1894) P. L. Chebyshev at MacTutor. P. L. Chebyshev at Encyclopaedia Britannica. P. L. Chebyshev at the Mathematics Genealogy Project. (1854), 539-568. Also to be found in Oeuvres de P. L. Tchebychef, Volume 1 , 111-143, Chelsea, New York, 1961. (1859), 199-291. Also to be found in Oeuvres de P. L. Tchebychef, Volume 1 , 273-378, Chelsea, New York, 1961. Chebyshev, P. L., J. Math. Pures et Appl. (1874), 319-346. Also to be found in Oeuvres de P. L. Tchebychef, Volume 2 , 189-215, Chelsea, New York, 1961. Butzer, P., and F. Jongmans, P. L. Chebyshev (1821-1894), a guide to his life and work, J. Approx. Theory (1999), 111-138. For those with access, this article may be viewed at IDEAL. Butzer, P. L., and F. Jongmans, P. L. Chebyshev (1821-1894) and his contacts with Western European scientists, Historia Math. Goncharov, V. L., The Theory of Best Approximation of Functions, J. Approx. Theory (2000), 2-57. (The previous gives you the gziped version of the ps file of this paper. The gunziped ps file is available here .) This article, here translated into English, was originally published in 1945 in the collection

20. References For Chebyshev References for the biography of pafnuty chebyshev References for pafnuty chebyshev. Biography in Dictionary of Scientific Biography (New York 19701990). http://www-groups.dcs.st-and.ac.uk/~history/References/Chebyshev.html

References for Pafnuty Chebyshev Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: H Bernhard, Chebyshev, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). S Gurov and N Hromienkov, The great Russian scientist P L Chebyshev (on the 140th anniversary of his birth) (Kaluga, 1961). A M Lyapunov, Pafnuty Lovovich Chebyshev (Kharkov, 1895). V E Prudnikov, Pafnutii Lvovich Chebyshev (1821-1894) (Russian) (Moscow, 1976). V E Prudnikov, P L Chebyshev scientist and teacher (Russian) (Moscow, 1964). Articles: N I Akhiezer, Function theory according to Chebyshev, in Mathematics of the 19th century (Basel, 1998), 1-81. S N Bernstein, Chebyshev's influence on the development of mathematics (Russian), Uch. Zap. Mosk. Gos. Univ. S N Bernstein, Chebyshev's influence on the development of mathematics (translation of [9], with a foreword by O Sheynin), Math. Sci. P Butzer and F Jongmans, P L Chebyshev (1821-1894) : A guide to his life and work, J. Approx. Theory

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