61. OPE-MAT - Historique Translate this page Pierre de Chebotaryov, Nikolai Copernicus, Nicolaus Cardan, Girolamo Chern, Shiing-shenCopson, Edward Carlyle, Thomas chebyshev, pafnuty Coriolis, Gustave http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali B Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

62. Music And Computers, 4.6 Waveshaping Back in the 19th century, pafnuty chebyshev discovered a set of polynomialsknown as, you guessed it, the chebyshev Polynomials. http://eamusic.dartmouth.edu/~book/MATCpages/chap.4/4.6.waveshp.html

Waveshaping Waveshaping is a popular synthesis and transformation technique that turns simple sounds into complex sounds. You can take a pure tone, like a sinewave, and transform it into a harmonically rich sound by changing its shape. A guitar fuzz box is an example of a waveshaper. The unamplified electric guitar sound is fairly close to a sine wave. But the fuzz box amplifies it and gives it sharp corners. We have seen in the earlier chapters that a signal with sharp corners has lots of high harmonics. Sounds that have passed through a waveshaper generally have more a lot more energy in their higher frequency harmonics, which gives them a "richer" sound. Simple Waveshaping Formulae A waveshaper can be described as a function that takes the original signal x as input, and produces a new output signal y . This function is called the "transfer function". y = f(x) This is simple, right? In fact, it's much simpler than any other function we've seen so far. That's because waveshaping, in its most general form, is just any old function. But there's a lot more to it than that. In order to change the shape of the function, and not just make it bigger or smaller, the function must be non-linear which means it has exponents greater than one, or transcendental functions (like sines, cosines, exponentials, logarithms, etc.). You can use almost any function you want as a waveshaper. But the most useful ones output zero when the input is zero.

63. Open Directory & Pay Per Click Search Engine: Science/Math/Mathematicians/Famous http//wwwgroups.dcs.st-andrews.ac.uk/~history/Mathematicians/Cauchy.html. chebyshev- pafnuty Lvovich chebyshev (1821-1894) Work on prime numbers included the http://www.searchpixie.com/Science/Math/Mathematicians/Famous_People/

Need Traffic TrafficGiveAway.com Search the Web Home Toolbar LinkManager bookmark ... Mathematicians : Famous People CATEGORIES: Erd¶s, Paul Euler, Leonhard Napier, John Nash, John F., Jr. ... Wolfram, Stephen LINKS: Abel - Niels Henrik Abel (1802-1829) Norwegian mathematician. Worked on elliptic functions and integrals, algebraic solution of equations and solubility by radicals. http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Abel.html al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) Arab mathematician, lived when spread of ideas was very slow, wrote Hisab al-jabr wal-muqabala, concepts of the Middle East. The "al-jabr" gave us the word algebra." introduced the decimal system, rules for solving linear and quadratic equations, the word "algorithm" comes from his name. http://www.windows.ucar.edu/people/middle_ages/al-khwarizmi.html Archimedes (c. 287 B.C.-212 B.C.) (Encyclopedia.com) Greek mathematician, physicist, and inventor. http://www.encyclopedia.com/articles/00686.html Bernoulli, Daniel (1700-1782)

64. Full Alphabetical Index Translate this page Chaplygin, Sergi (366*) Chapman, Sydney (792*) Chasles, Michel (154*) Châtelet,Gabrielle du (154*) Chebotaryov, Nikolai (409*) chebyshev, pafnuty (255*) Chern http://www.maththinking.com/boat/mathematicians.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

65. People In Science > Math > History He is probably best known for his important contributions to real andcomplex analysis. chebyshev pafnuty Lvovich chebyshev (1821-1894). http://ilectric.com/browse/web/Science/Math/History/People/

Metasearch Directory News Multi-Search ... Login/Out Choose a Search Metasearch - The Web Metasearch - This Site Metasearch - News Metasearch - Auctions Metasearch - Forums Metasearch - Images Metasearch - Shopping Directory - Within This Category Only Directory - Entire Directory - Adult Directory - Arts Directory - Business Directory - Computers Directory - Games Directory - Health Directory - Home Directory - News Directory - Recreation Directory - Reference Directory - Regional Directory - Science Directory - Shopping Directory - Society Directory - Sports Directory - World Shopping - All products Shopping - Books Shopping - Electronics Shopping - Popular music Shopping - Classical music Shopping - DVD's Shopping - VHS Videos Shopping - In Theaters Shopping - Toys Shopping - Computer Hardware Shopping - Software Shopping - Magazines Shopping - Photo Shopping - Garden / Outdoor Living Shopping - Baby Shopping - Kitchen Lookup - Domain in Whois Lookup - Domain Availability Lookup - HTTP Source Lookup - DNS Record W eb Directory Categories Related Sponsored Sites Sites ... History People Books See over 32,000 results in Books...

66. PHONE-SOFT INTERNET DIRECTORY INTERNATIONAL:MATHEMATICIANS LINKS Chaitin Home Page; chebyshev pafnuty Lvovich chebyshev (1821-1894);Chronological List of Mathematicians; Clifford A. Pickover's http://www.phone-soft.com/cyber-world/o5591i.htm

TOP-LINK UP-LINK ADD URL SEARCH ... E-MAIL MATHEMATICIANS LINKS Copy any DVD on your CD-R Burner - Wow - Click Here Now! Abel - Niels Henrik Abel (1802-1829) al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) Andrey Kolmogorov ... Zermelo - Ernst Friedrich Ferdinand Zermelo (1871-1953)

67. May 4 - Today In Science History beliefs. pafnuty Lvovich chebyshev. (source), Born 4 May 1821; died26 Nov or 8 Dec 1894 Russian mathematician who founded the St. http://www.todayinsci.com/5/5_04.htm

MAY 4 - BIRTHS Fritz von Opel Born 4 May 1899; died 8 Apr 1971. German automotive industrialist who took part, with Max Valier and Friedrich Wilhelm Sander, in experiments with rocket propulsion for automobiles and aircraft. On 11 Apr 1928, at Berlin, they tested the first manned rocket automobile. On 30 Sep 1929, von Opel piloted the Opel Sander Rak.1, a glider powered with 16 rockets of 50 pounds of thrust each, and made successful flight of 75 seconds, covering almost 2 miles near Frankfurt-am-Main, Germany, Von Opel as pilot. By sponsoring these early tests of rocket-powered transport, Opel popularized the idea of rocket propulsion in Germany. Frank Conrad Station 8XK, 1920 (source) Born 4 May 1874; died 11 Dec 1941. American electrical engineer whose interest in radiotelephony led to the establishment of the first commercial radio station. Conrad worked for Westinghouse as assistant chief engineer at its East Pittsburgh Works and acquired over 200 patents in his lifetime. As an amateur , having built a transmitting station on the second floor of the garage behind his home in Wilkinsburg, Pa., when he substituted a phonograph for his microphone, he discovered a large audience of listeners who had built their own crystal radio sets and who, upon hearing the music, wrote or phoned requests for more music and news. When he became swamped with these requests, he decided to broadcast regular, scheduled

68. Russian Academy Of Sciences / History / The Academy In The XIXth And Early ÕÕt Nikolai Lobachevsky, who worked at the Kazan University, created nonEuclideangeometry. Professor pafnuty chebyshev and the representatives of the St. http://www.pran.ru/eng/history/20021211024441history.html

Contact information Portal map Search Choose language ... History The Academy in the XIXth and early ÕÕth century. Development of University Science. Formation of Scientific Schools In the 19th and early 20th century the scope of research areas presented in the Academy was noticeably extended. Humanities were developing alongside natural sciences. In 1841, some of the members of the Russian Academy, which had been functioning for sixty years as an independent institution involved in the study of the Russian language and literary monuments, joined the "big" Academy of Sciences. A department of the Russian language and literature was added to the already existing departments: of physics and mathematics and of history and philology. Prominent Russian authors like Vasily Zhukovsky, Ivan Krylov and, later, Leo Tolstoy were members of the new department, that also accepted literary critics and linguists. This period is marked by important discoveries and the making of new directions of research. The achievements of Russian physicists scored were no less impressive. As early as the beginning of the 19th century Vasily Petrov discovered the electric arc. Emily Lentz became widely known for his works in electromagnetism, Boris Yakobi proposed the method of galvanoplastics. An outstanding scientific achievement of Russian and world science was the invention of radio by Alexander Popov in 1895. In late 19th century, Evgraf Fedorov made a major contribution to crystallography and the establishment of crystallographic groups.

69. Article By JD As a total linguistic dunce, this is more or less pure pain for me. YesterdayI had to read up on a mathematician named pafnuty Lvovich chebyshev. http://olimu.com/WebJournalism/Texts/Commentary/Diary 2002-01-23.htm

Article by John Derbyshire Navigate up Web Journalism National Review Online January 23rd, 2002 To Blog, Or Not to Blog That is the question. My previous attempts at bloggery drew a highly polarized response. Some readers said: “Sheesh, anyone can do that Give us a good old-fashioned rant, Derb.” Others said: “I love this blogging stuff! Opinion in bite-size chunks — cool!” I’m in two minds myself, I admit. Sure, I kind of like doing it; but yes, it does seem a bit like cheating. So what I’m going to do is, give over about one column in ten, maybe one a month, to blogging. I’ll always let you know, right there in the title, whether I’m blogging or not, so if it’s not your thing you can skip it. Fair? I was just having an e-conversation with the incomparable, ineffable and infinitely wise Fred Reed We discovered that we both get lots of emails that go: “Derb/Fred, I’d love to say out loud the things that you say, but if I did, I’d lose my job.” We agreed that these are the saddest, and in a way the

70. Elementary Number Theory - Kenneth H. Rosen Page 69 Biographical information about pafnuty Lvovich chebyshev can be found atthe MacTutor History of Mathematics Archive at http//wwwgroups.mcs.st-andrews http://www.aw.com/rosen/resourcesc_3.html

Annotated Web Links CHAPTER 3 Primes and Greatest Common Divisors Return to Annotated Web Links Home 3.1 Prime Numbers Page 66 A wealth of information about primes can be found at the Prime Page http://www.utm.edu/research/primes/ (The Prime Page) An excellent survey about prime numbers can be found at the St Andrews History of Mathematics Archive at http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html (Prime numbers) Page 67 Biographical information about Eratosthenes can be found at the MacTutor History of Mathematics Archive at http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Eratosthenes.html (Eratosthenes) You can find an applets for running the sieve of Eratosthenes at http://www.math.utah.edu/~alfeld/math/prime.html Information about the sieve of Eratosthenes and links for implementations in C, Java, and Perl can be found at http://www.utm.edu/research/primes/programs/Eratosthenes

71. Instituto Carlos I Quantum Physics Mathematics Group PhD advisees, Research seminars. Forthcoming Events, QPMG's mail list. Linksof Interest, Address. pafnuty chebyshev Thomas Stieltjes. Gábor Szegö. http://qpmg.ugr.es/

72. Biographies However, he is perhaps best known for his fundamental contibutionsin real and complex analysis. pafnuty L. chebyshev (1821–1894). 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.

73. ABOUT PAUL ERDÖS The answer is yes, it is always true, but this was first proved only in 1850,by pafnuty Lvovitch chebyshev, the father of Russian mathematics. http://bookbuzz.com/MBIO_About_Erdos.htm

Home ShowIdeas.Com (sm) Search "THE BEST IN TRADITIONAL & ONLINE PUBLIC RELATIONS FOR PUBLISHERS & AUTHORS" Press Release Genesis of MY BRAIN IS OPEN Order from Amazon ABOUT PAUL ERDÖS (An overview of the life of Paul Erdös. This is not an excerpt from the book, My Brain Is Open: The Mathematical Journeys of Paul Erdös, but a separate article prepared by its author, Bruce Schechter) F OR OVER half a century, early in the morning or in the middle of the night, mathematicians in Budapest or Berkeley, Prague or Sydney have been summoned from their multi-dimensional dreams by a knock at the door. Their unexpected guest was a short, smiling man wearing thick glasses and an old suit. In one hand he held a small suitcase containing everything he owned, in the other a shopping bag stuffed with papers. It was Paul Erdös, one of the greatest mathematicians of the twentieth century, a man who lived in the space of Platonic Ideals and infinite beauty, who called no place on Earth home. Never one to waste time on formalities with work to be done, Erdös would announce to his host: "My brain is open!" For the next few days, brains open, Erdös and his host, with other mathematicians recruited as needed, would be off on a mathematical journey of problem, conjecture, theorem and proof. The goal of their journey was nothing less than Truth and Beauty. "If numbers aren't beautiful, I don't know what is," Erdös once remarked. While the pursuit of mathematical beauty was Erdös's only goal, his ideas inevitably have found practical applications. One of the small ironies of Erdös's life is that, although he never owned or used a computer, mathematics that he invented is the basis for modern computer science; although he never had a secret, his mathematics is used by those who invent secret codes.

74. History Of Mathematicians Used In Wi4010 Another iterative method is the chebyshev method. This method is based on orthogonalpolynomials bearing the name of pafnuty Lvovich chebyshev (18211894). http://dutita0.twi.tudelft.nl/users/vuik/a228/hist.html

History of mathematicians In this document we give some information of mathematicians which work or names are used in the course wi4010 Numerieke methoden voor grote lineaire algebraische stelsels . The course is based on the following book Matrix Computations Gene H. Golub and Charles F. Van Loan Johns Hopkins University Press, Baltimore, 1983 Theory In order to be able to measure distances with respect to vectors and matrices we have defined normed spaces. Most of the spaces used in this course are Banach spaces Stefan Banach (1892-1945) . For the vector norms different choices are made. An important class of norms are the so-called Hölder norms Otto Ludwig Hölder (1859-1937) . For the special choice p=2 we get the Euclid norm Euclid ( 295 b.c.e.- ) . With respect to matrix norms we consider norms derived from vector norms. Furthermore we mention the Frobenius norm George Ferdinand Frobenius (1849-1917) Furthemore we use spaces where an inner product is defined. Most of these spaces are Hilbert spaces David Hilbert (1862-1943) . Using the Hölder inequality we show that the Euclid norm satisfies the Cauchy-Schwarz inequality Augustin-Louis Cauchy (1789-1857) and Karl Hermann Amandus Schwarz (1843-1921) Direct methods to solve linear systems We start our description of direct methods for solving linear systems with the Gauss elimination method Carl Friedrich Gauss (1777-1855) . Thereafter we discuss the Choleski method for symmetric positive definite matrices. Furthermore we show that much work and memory can be saved in the case of band matrices. An important example of a banded system is the discretization of the Poisson equation

75. Mathematicians @ SchoolAtlas 16851731); The History of Mathematics -The History of Mathematics;chebyshev -Biography of pafnuty chebyshev (1821-1894); THE FULLER http://www.schoolatlas.com/search2/Math/Mathematicians/index2.html

home world news books sitemap ... office Reference Nation Maps Nation Reports Nation Flags World Maps ... Writing Center ii Academic Subjects Reference Geography History Government ... Math College Search Here: Academic Websites Yahoo! Google Ask Jeeves About.com Alta Vista Lycos Excite HotBot Infoseek Northern Light DejaNews Lawcrawler Metacrawler Look Smart Math Mathematicians Sir William Rowan Hamilton (1805-1865) -Sir William Rowan Hamilton (1805-1865) Taylor, Brook (1685-1731) from Eric Weisstein's Treasure Trove of Scientific -Taylor, Brook (1685-1731) The History of Mathematics -The History of Mathematics Chebyshev -Biography of Pafnuty Chebyshev (1821-1894) THE FULLER MAP -detailed case-study of comprehensive designer Buckminster Fuller, discussing geometry, architecture, cartography, cognition. Landon Curt Noll -Landon Curt Noll's home page Agner Krarup Erlang (1878 - 1929) -mathematics journal Paul Nevai's ERDOS page (= http://www.math.ohio-state.edu/~nevai/ERDOS/) Severi -Biography of Francesco Severi (1879-1961) -Biography of Emmy Noether (1882-1935) Michael Somos at CSU Home Page -Michael Somos at CSU Viete Clifford A. Pickover's Home Page

76. RIM 420 Relative Links: Applied Digital Audio Technology; A Mathematical Theory of Communication by Claude E. Shannon;pafnuty chebyshev mathematics for filter design; 2s Complement http://www.mtsu.edu/~dsmitche/rim420/links/

RIM 420 Relative Links Page Applied Digital Audio Digital Audio Fundamentals of digital audio outline The CD Information Center The Voodoo of CD Mastering excellent resource site Sound Advice ... Audio/Acoustics/Digital Signal Processing and Music Synthesis Digital Audio Mathematics Binary Math!! Modular Arithmetic Earliest Known Uses of Some of the Words of Mathematics Bores Digital Signal Processing Interactive DSP Course ... The Ubiquitous Reed Solomon Error Codes by Barry Cipra Digital Audio Data Coding Harris Sound Bytes - Audio Compression Demystified ADPCM Compression The IMA ADPCM Compression Algorithm ATRAC: Adaptive Transform Acoustic Coding for MiniDisc ... Masking and Perceptual Coding Dolby / AC3 Dolby Laboratories Inc. Dolby LaboratoriesMultichannel Perceptual Coding AC-3: Flexible Perceptual Coding for Audio Transmission and Storage Liquid Audio DVD DVD Forum DVD Audio Format Finalized A Glimpse at DVD-A DVD info ... Dolby Laboratories DVD site CSound Resources The Csound Frontpage (including downloads) Csound Magazine Gabriel Maldonado's Home Page The Matt Ingalls Csound Pages ... University of California - Santa Barbara EAR MIDI and Computer Music Site Computer-Based Digital Audio Tom Erbe's Macintosh Music Resources Worldwide Internet Music Resources Digital Audio on the Internet Digital Audio File Formats ... Significant Bits Including Information on ProTools 4.0

77. History Of Astronomy: What's New At This Site On May 5, 1999 Short biography and references; Crater Chaplygin (lunar feature). chebyshevTschebyschew, Pafnutij pafnuty L'vovich Lwowitsch (18211894) http://www.astro.uni-bonn.de/~pbrosche/new/new990505.html

History of Astronomy What's new History of Astronomy: What's new at this site on May 5, 1999 Some URLs have been updated. Welcome / About Site map (complete Table of Contents) updated Acknowledgements updated History of astronomy Persons B Bobillier, Etienne (1798-1840) Solar system feature named after him. No other relation to astronomy known to us. Short biography and references Crater Bobillier (lunar feature) Borda, Jean Charles (1733-1799) Short biography and references Crater Borda (lunar feature) Boyle, Robert (1627-1691) Short biography and references Crater Boyle (lunar feature) Brouwer, Dirk (1902-1966) Crater Brouwer (lunar feature) Brouwer, Luitzen Egbertus Jan (1881-1966) Solar system feature named after him (and Dirk Brouwer). No other relation to astronomy known to us. Short biography and references Crater Brouwer (lunar feature) Burckhardt, Johann Karl (1773-1825) Crater Burckhardt (lunar feature) Find more about Burckhardt with Alta Vista C Cajori, Florian (1859-1930)

78. Academic Lineage University, Nikolai Dmitrievich Brashman, Moscow State University,1834. pafnuty Lvovich chebyshev, University of St. Petersburg, 1849. http://www.cs.odu.edu/~mln/lineage.html

J. J. Von Littrov Moscow State University Nikolai Dmitrievich Brashman Moscow State University Pafnuty Lvovich Chebyshev University of St. Petersburg Andrei Andreevich Markov University of St. Petersburg Jacob D. Tamarkin University of St. Petersburg Nelson Dunford Brown University Jacob T. Schwartz Yale University Kurt Maly New York University Michael L. Nelson Old Dominion University adapted from http://www.math.gatech.edu/~klain/lineage.html

79. Mathematical Lineage JJ Von Littrov Nikolai Dmitrievich Brashman pafnuty Lvovich chebyshev Andrei AndreevichMarkov Jacob D. Tamarkin Nelson Dunford Jacob T. Schwartz GianCarlo http://faculty.uml.edu/dklain/lineage.html

Here is my mathematical (Ph.D.) lineage: J. J. Von Littrov Nikolai Dmitrievich Brashman Pafnuty Lvovich Chebyshev Andrei Andreevich Markov Jacob D. Tamarkin Nelson Dunford Jacob T. Schwartz Gian-Carlo Rota Daniel A. Klain Moscow State University Moscow State University University of St. Petersburg University of St. Petersburg University of St. Petersburg Brown University Yale University Yale University MIT Many other mathematical genealogies are available here. Back to my home page.

80. Famous People ac.uk/~history/Mathematicians/Cauchy.html. 8, chebyshev PafnutyLvovich chebyshev (1821-1894). Work on prime numbers included the http://www.ad.com/Science/Math/Mathematicians/Famous_People/

search Top Categories: Erdös, Paul Euler, Leonhard Napier, John Nash, John F., Jr. ... Abel - Niels Henrik Abel (1802-1829) Norwegian mathematician. Worked on elliptic functions and integrals, algebraic solution of equations and solubility by radicals. Category: Science > Math > Mathematicians > Famous People http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Abel.html al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) Arab mathematician, lived when spread of ideas was very slow, wrote Hisab al-jabr wal-muqabala, concepts of the Middle East. The "al-jabr" gave us the word algebra." introduced the de Category: Science > Math > Mathematicians > Famous People http://www.windows.ucar.edu/people/middle_ages/al-khwarizmi.html Archimedes (c. 287 B.C.-212 B.C.) (Encyclopedia.com) Greek mathematician, physicist, and inventor. Category: Science > Math > Mathematicians > Famous People http://www.encyclopedia.com/articles/00686.html Bernoulli, Daniel (1700-1782) Most important work considered the basic properties of fluid flow, pressure, density and velocity, and gave their fundamental relationship now known as Bernoulli's principle. Category: Science > Math > Mathematicians > Famous People http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Daniel.html

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