21. Untitled johann hudde (16281704). Early Probability. However, johann hudde (1628-1704)and René François de Sluse (1622-1685) found easily used algorithms. http://www.math.tamu.edu/~don.allen/history/precalc/precalc.html

Next: About this document April 2, 1997 Early Calculus I Albert Girard (1595-1632) - Theory of Equations Jan de Witt (1623-1672) - Analytic Geometry Marin Mersenne (1588-1648) - Scientific Journal/Society Girard Desargues (1591-1661) - Projective Geometry Frans von Schooten (1615-1660) - Analytic Geometry Christian Huygens (1629-1695) - Probability Johann Hudde Early Probability Early serious attempts at probability had already been attempted by Cardano and Tartaglia. They desired a better understanding of gambling odds. Some study about dice date even earlier. There are recorded attempts to understand odds dating back to Roman times. Cardano published Liber de Ludo Alea (Book on Games of Chance) in 1526. He discusses dice as well stakes games. He then computes fair stakes based on the number of outcomes. He was also aware of independent events and the multiplication rule: if A and B are independent events then Cardano discussed this problem: How many throws must be allowed to provide even odds for attaining two sixes on a pair of dice? Cardano reasoned it should be 18. He also argued that with a single dice, three rolls are required for even odds of rolling a 2. He was wrong. This type problem still challenges undergraduate math majors to this day.

22. Historia Matematica Mailing List Archive: Re: [HM] Hudde According to Boyer s HoM, johann hudde (16291704) was for about thirty All of this corresponds to what Antreas quoted from the St. http://sunsite.utk.edu/math_archives/.http/hypermail/historia/mar00/0163.html

Re: [HM] Hudde Subject: Re: [HM] Hudde From: Antreas P. Hatzipolakis ( xpolakis@otenet.gr Date: Tue Mar 28 2000 - 10:50:17 EST Next message: Julio Gonzalez Cabillon: "Re: [HM] "maths" in lieu of "math"" Previous message: Antreas P. Hatzipolakis: "Re: [HM] "maths" in lieu of "math"" Maybe in reply to: James A. Landau: "[HM] Hudde" Next in thread: Paul Vitanyi: "Re: [HM] Hudde" Maybe reply: Antreas P. Hatzipolakis: "Re: [HM] Hudde" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] I wrote: 1628 (my typo) And Avinoam Mann remarked: Dear Avinoam, Smith [1] writes: [Johann Hudde] Latin, Huddensis. Born at Amsterdam, probably in 1628 or 1629; died at Amsterdam, April 16, 1704. [1] D.E. Smith: History of Mathematics. Dover, 1958 (First Publ. in 1923). Vol. I, p. 425, footnote #7. Antreas Next message: Julio Gonzalez Cabillon: "Re: [HM] "maths" in lieu of "math"" Previous message: Antreas P. Hatzipolakis: "Re: [HM] "maths" in lieu of "math"" Maybe in reply to: James A. Landau: "[HM] Hudde"

23. Historia Matematica Mailing List Archive: Re: [HM] Hudde According to Boyer s HoM, johann hudde (16291704) was for about thirtyyears the burgomaster of Amsterdam. He was one of the anticipators http://sunsite.utk.edu/math_archives/.http/hypermail/historia/mar00/0154.html

Re: [HM] Hudde Subject: Re: [HM] Hudde From: Avinoam Mann ( MANN@vms.huji.ac.il Date: Mon Mar 27 2000 - 20:35:53 EST Next message: Paul Vitanyi: "Re: [HM] Hudde" Previous message: John Conway: "Re: [HM] "maths" in lieu of "math"" In reply to: James A. Landau: "[HM] Hudde" Next in thread: Dr. Siegmund Probst: "Re: [HM] Hudde" Next in thread: Paul Vitanyi: "Re: [HM] Hudde" Reply: Avinoam Mann: "Re: [HM] Hudde" Reply: Dr. Siegmund Probst: "Re: [HM] Hudde" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] According to Boyer's HoM, Johann Hudde (1629-1704) was for about thirty years the burgomaster of Amsterdam. He was one of the anticipators of the calculus, knew, e.g., that the maxima and minima of rational functions occur at zeroes of the derivative, and also the taylor series for log(1+x). "it appears that Hudde was the first mathematician to permit a literal coefficient in an equation to represent any real number, whether positive or negative." He did a few other interesting things. Nothing specific is mentioned about equations of the third degree.

24. Comments And Explanations johann hudde was mayor of Amsterdam for thirty years. There are two Fransvan Schootens, father and son, who were both professors in Leiden. http://www.math.vt.edu/people/renardym/comments.html

Comments and explanations The "recent" part of the information is from the Mathematics Genealogy Project . For the older part, I have relied on biographies; here "advising" needs to be interpreted more broadly than the supervision of doctoral theses. Resources consulted include, among others, Mac Tutor Wikipedia , the Catholic Encyclopedia , the Biographisch-Bibliographisches Kirchenlexikon , the Allgemeine Deutsche Biographie , and the Dictionary of Scientific Biography. The online catalogs of several German university libraries, most notably Halle-Wittenberg, Tuebingen, and Leipzig, were also helpful. Goertler's name is often associated with Ludwig Prandtl. Indeed, he worked under Prandtl during the period following his doctorate. The work on Goertler vortices was done in Prandtl's lab. There were two scientists named Robert Daublebsky von Sterneck, who were father and son. The one in the table is the son; he is known for computational work related to the zeros of the Riemann zeta function. The father was a surveying engineer in the Austrian military. I have not been able to find von Sterneck's advisor. His work is related to that of Mertens, but it appears that Mertens did not move to Vienna until after von Sterneck got his doctorate. Karl Weierstrass was awarded an honorary degree in 1854; he did not seek a doctorate as a student. Gudermann was his principal mentor during his student years and is generally regarded as his de facto advisor.

25. Return Home Hubble, Edwin P. (18891953), BM; Hubble, Edwin P. (1889-1953), STSCI,USA; hudde, johann (1633-1704), 17th and 18th C Mathematicians; http://members.aol.com/jayKplanr/images.htm

return home An Alphabetical A-Z List of Famous Scientists and Mathematicians Indicates a portrait photograph or illustration is included. browse a section: A B C D ... Z A Abel, Niels Henrik Maths Archive Adams, John Couch Maths Archive Adams, Walter S. BM Agassiz, Louis UCMP Agnesi, Maria Gaetana Maths Archive Agnesi, Maria Gaetana ASC Aitken, Robert G. BM Alexander, Albert Ernest AAS Alfred Day Hershey BDB Ambartsumian, Viktor A. BM Ampere, Andre Marie 17th and 18th C Mathematicians Antoine, Albert C. Faces Apollonius of Perga (200 BC-100 BC), Maths Archive Arago, Francois Jean Dominique 17th and 18th C Mathematicians Arbogast, Antoine 17th and 18th C Mathematicians Arbuthnot, John Maths Archive Archimedes of Syracuse (287 BC - 212 BC), Maths Archive Aristarchus of Samos (310 BC-230 BC), Maths Archive Aristotle (384 BC-322 BC), Maths Archive Aristotle (384-322 BC), Bjorn's Guide Arrhenius, Svante August 1992 Institute Artin, Emil Maths Archive Artzt, Karen WDB Atanasoff, John Vincent

26. 9.1 Pokusy O Riešenie Rovnice 5. Stupòa - Hudde, Euler A Bézant (Dejiny Algeb storocí našiel holandský matematik johann hudde (16281704) postup na riešeniekubickej rovnice, ktorý mal mnohé prednosti v porovnaní s Cardanovým http://www.matika.sk/zdroje/texty/recenz/Dejalg/Cast9/Part9-1.htm

9. Evariste Galois (1811-1832) Obsah Úvod Pokusy o riešenie rovnice 5. stupòa - Hudde, Euler a Bézant Konštruovate¾né mnohouholníky Gaussova konštrukcia pravidelného 17-uholníka Literatúra 9.1 Pokusy o riešenie rovnice 5. stupòa - Hudde, Euler a Bézant Ešte v 17. storoèí našiel holandský matematik JOHANN HUDDE (1628-1704) postup na riešenie kubickej rovnice, ktorý mal mnohé prednosti v porovnaní s Cardanovým, viac-menej náhodným trikom. Hudde transformoval kubickú rovnicu x + px - q = pomocou substitúcie x = na rovnicu y - qy - (p/3) ktorá bola neskôr nazvaná Huddeho rezolventou . Napriek tomu, že ide o rovnicu šiesteho stupòa, je jednoduchšia, než pôvodná rovnica, lebo keï oznaèíme y = V, tak platí y , ..., y j = 1, 2 k = 0, 1, 2 kde w je tretia odmocnina z 1. Riešenia pôvodnej rovnice potom budú x = y + y x = y + y x = y + y Vidíme, že aj tu dostávame riešenia kubickej rovnice v tvare kombinácií dvoch tretích odmocnín, ale celkový postup je omnoho symetrickejší, lebo kvadratická rovnica, ktorá urèuje hodnoty výrazov pod príslušnými tretími odmocninami je priamo zabudovaná do rovnice. Okrem toho Huddeho prechod k rovnici šiesteho stupòa vlastne prináša do hry rozkladové pole polynómu (to je šiesteho stupòa) a aj grupu prislúchajúcu k príslušnému polynómu (grupu S , ktorá je šesprvková).

27. The Galileo Project Karlheinz Haas, Die mathematischen Arbeiten von johann hudde (16281704)Bürgermeister von Amsterdam, Centaurus, 4 (1956), 235-84. http://galileo.rice.edu/Catalog/NewFiles/hudde.html

Hudde, Jan 1. Dates Born: Amsterdam, April or May 1628. He was baptized on 23 May. Died: Amsterdam, 15 April 1704 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Merchant, Aristocrat Gerrit Hudde, a merchant and patrician. Considering Hudde's career, the father must have been affluent at the very least, and Hudde must have inherited an adequate estate. 3. Nationality Birth: Dutch Career: Dutch Death: Dutch 4. Education Schooling: Leiden He studied law in Leiden about 1648. Here he met mathe- matics through Schooten. There is no mention of a degree. 5. Religion Affiliation: Calvinist by assumption 6. Scientific Disciplines Primary: Mathematics Subordinate: Optics His contribution to mathematics came entirely during the years 1654-63. There is no evidence that he did any further work in mathematics after 1663. He was also interested in optics. He produced microscopes with spherical lenses and worked with Spinoza on the construction of telescopic lenses. His correspondence with Spinoza indicates that he composed a Dioptrica. 7. Means of Support

28. The Galileo Project He corresponded directly or indirectly with Erasmus Bartholin, Johan Blaeu, MartinFogel, Michel Antoine Hacki, johann Hevelius, Jan hudde, Lodewijk Huygens http://galileo.rice.edu/Catalog/NewFiles/picard.html

Picard, Jean 1. Dates Born: La Flèche, 21 July 1620 Died: Paris, 12 October 1682 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Pub Picard's father was almost certainly Jean Picard, a bookseller in La Flèche; possibly I should consider him a small merchant in a provincial town, but I am listing everyone connected with the book trade under "Pub." Nothing is known of Picard's youth. No information on financial status. 3. Nationality Birth: French Career: French Death: French 4. Education Schooling: Paris, M.A. Picard probably did his early studies at the Jesuit college at La Flèche. Considerably later he earned an M.A. from Paris is 1650. As usual, I assume a B.A. There is no indication of what he did between La Flèche and his studies in Paris, a period of about twelve years. 5. Religion Affiliation: Catholic Picard was ordained a priest in 1650. He held at least four benefices. 6. Scientific Disciplines Primary: Astronomy, Cartography, Instrumentation Subordinate: Physics, Optics, Hydraulics The usual story of Picard is that he was the gardener of the Duke of Crequi. Jacques de Valois, having met Picard, inspired him to make astronomical observations. The Picolet volume demonstrates that this story is not true. Picard became very involved in astronomy and made observations with Gassendi in Paris in the period 1645 to 1652. With Auzout he perfected the movable-wire micrometer and utilized it to measure the diameter of the sun, moon, and planets. In 1667 Picard applied the astronomical telescope to the quadrant and the sector expanding their usefulness in observations. He made other innovations in instrumentation as well.

29. Full Alphabetical Index Translate this page Grace (1729*) Hörmander, Lars (799*) Horner, William (207) Hoüel, Jules (421*)Householder, Alston (1122*) Hubble, Edwin (591*) hudde, johann (264*) Hui Yang http://alas.matf.bg.ac.yu/~mm97106/math/alphalist.htm

Full Alphabetical Index 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 (12)

30. Ulearn Today - Magazine Later, Dutch mathematician johann hudde discovered a simpler method,known as hudde’s Rule, which basically involves the derivative. http://www.ulearntoday.com/magazine/physics_article1.jsp?FILE=calculus

31. Matematiikan Historia; Muun Maailman Matemaatikot Translate this page William Oughtred Wilhelm Schickard, John Pell Pierre de Fermat Blaise Pascal ** GilesPersonne de Roberval John Wallis William Neil johann hudde René François http://solmu.math.helsinki.fi/2000/mathist/muumaa.html

Muun maailman matemaatikot Thales Pythagoras Hippokrates Hippias ... Hipparkhos -801 eKr. 800-601 eKr. 600-401 eKr. 400-201 eKr. 200-1 eKr. Heron Klaudios Ptolemaios Menelaos Diofantos ... Gerbert (paavi Sylvester II) 1-199 (jKr.) Omar Khaijjam Adelard Bhaskara Gerard Cremonalainen ... Matematiikkalehti Solmu

32. Differentiaali- Ja Integraalilaskennan Esivaiheet Descartesin esittämiä komplisoituja tangentinmääritysmenetelmiä yksinkertaistivathollantilainen johann hudde (16281704) ja flaamilainen René François http://solmu.math.helsinki.fi/2000/mathist/html/diffint/

PDF 7. Differentiaali- ja integraalilaskennan esivaiheet differentiaali- ja integraalilaskenta infinitesimaalilaskennaksi , ja analyyttinen geometria Metodi 7.1 Stevin, Kepler ja Galilei De Beghinselen der Weeghconst Johannes Kepler A r . Jos radan pisteiden P ja Q PQ Toisaalta Kepler otaksui kolmion, ota rajoittavat janat AP ja AQ PQ ja joiden alojen summa on siis vakio . Sattumoisin planeetan nopeutta koskeva virheellinen oletus ja ''integroinnissa'' tapahtunut virhe kumoavat toisensa! Nova stereometria doliorum vinariorum b a t ja t t ja t . Tilavuudelle saadaan (oikea) arvo Galileo Galilei 7.2 Cavalierin integroinnit Galilein oppilaista oli matemaatikkona kuuluisin Bonaventura Cavalieri Cavalierin periaate r h x Geometria indivisibilibus continuorum kanssa. Kaavan ( ) Cavalieri totesi oikeaksi arvoilla n y x . Jos lasketaan y jolloin Mutta kun x z josta eli Tapauksessa n y x x :n ja y :n symmetriaan. Mutta aikaisempien tulosten ja symmetrian nojalla on edelleen joten Saadaan lopulta eli 7.3 Analyyttinen geometria Cartesius ilmestyi sekin suuren filosofisen teoksen karteesinen koordinaatisto ja karteesinen tulo aa symbolin a sijasta

33. Jakob Bernoulli Jacob Bernoulli was the brother of johann Bernoulli and the uncle of Bernoulli travelledto the Netherlands where he met many mathematicians including hudde. http://www.mathematik.ch/mathematiker/jakob_bernoulli.php

Home Geschichte Mathematiker Zitate ... Suche Bernoulli Jakob 1654 - 1705, Basel Jacob Bernoulli 's father, Nicolaus Bernoulli (1623-1708) inherited the spice business in Basel that had been set up by his own father, first in Amsterdam and then in Basel. The family, of Belgium origin, were refugees fleeing from persecution by the Spanish rulers of the Netherlands. Philip, the King of Spain, had sent the Duke of Alba to the Netherlands in 1567 with a large army to punish those opposed to Spanish rule, to enforce adherence to Roman Catholicism, and to re-establish Philip's authority. Alba set up the Council of Troubles which was a court that condemned over 12000 people but most, like the Bernoulli family who were of the Protestant faith, fled the country. Nicolaus Bernoulli was an important citizen of Basel, being a member of the town council and a magistrate. Jacob Bernoulli's mother also came from an important Basel family of bankers and local councillors. Jacob Bernoulli was the brother of Johann Bernoulli and the uncle of Daniel Bernoulli . He was compelled to study philosophy and theology by his parents, which he greatly resented, and he graduated from the University of Basel with a master's degree in philosophy in 1671 and a licentiate in theology in 1676.

34. Convergence | Van Schooten's Ruler Constructions The 1649 edition of Descartes’ Geometria was so successful that van Schooten recruitedthree more distinguished commentators, johann hudde, Jan de Witt and http://convergence.mathdl.org/convergence/?pa=content&sa=viewDocument&nodeId=268

35. So Biografias Nomes JOHANN Translate this page Ficht johann ou johannes Gutenberg, originalmente johann Gensfleisch zur Ladenjohann ou Jean Heinrich Lambert johann Heinrich von Madler johann hudde. http://www.sobiografias.hpg.ig.com.br/JOHANN.html

Nomes "JOHANN" Johann Albert Eytelwein Johann Baptist von Spix Johann Bernhard Fischer von Erlach Johann Bernoulli ... Johann Wolfgang von Goethe

36. So Biografias Britanicos Em H Hsiaoping, Teng Huáscar, Inti Cusi Huallpa Hubbard, Bernard Rosecrans Hubble,Edwin Powell Hubel, David Hunter Huber, Robert hudde, johann Hudson, Henry http://www.sobiografias.hpg.ig.com.br/LetraHB.html

Óz¶qñ D*.P#ÔÓµ

37. ThinkQuest : Library : Go Forth & Multiply: A Mathematics Adventure johann hudde simplified these methods and eventually found what we now call the derivative,that the tangent of y = x n is nx n1 . Rene Francois de Sluse also http://library.thinkquest.org/C0110248/calculus/history1.htm

Index Education Want to learn more about the world of mathematics? Then go forth, and enter the wildest math adventure you've ever been! Learn new math concepts and refresh your knowledge for those you've already known. Understand how the formulae you use were derived from. Or, you can take a step back into the past and read about how mathematics and its concepts originated. Go forth and multiply! Visit Site 2001 ThinkQuest Internet Challenge Awards Achievement Award Students Teow Lim Raffles Junior College, Singapore, Singapore Vee San Raffles Girls' School (Secondary), Singapore, Singapore Coaches Poh Kheng Pioneer Junior College, Singapore, Singapore Jee Wah Raffles Girls' School (Sec), Hougang, Singapore Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

38. Re: [HM] Hudde By Paul Vitanyi 1602?) johann van Waveren hudde Born 23 April 1628 in Amsterdam, NetherlandsDied 15 April 1704 in Amsterdam, Netherlands johann hudde attended the http://mathforum.org/epigone/historia_matematica/swangjangdeh/UTC200003281245.OA

Re: [HM] Hudde by Paul Vitanyi reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Hudde Author: Paul.Vitanyi@cwi.nl Date: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Hudde.html The Math Forum

39. Re: [HM] Hudde By Antreas P. Hatzipolakis and asked Who is hudde? I guess it is johann van Waveren hudde(16081704). In his Biography at St. Andrews archive http//www http://mathforum.org/epigone/historia_matematica/swangjangdeh/v01540B06630BC8263

Re: [HM] Hudde by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Hudde Author: xpolakis@otenet.gr Date: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Hudde.html The Math Forum

40. Full Alphabetical Index Hoüel, Guillaume (421*) Hubble, Edwin (591*) hudde, johann (264*) Humbert http://www.geocities.com/Heartland/Plains/4142/matematici.html

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 92    Back | 1  | 2  | 3  | 4  | 5  | Next 20