21. Johann Faulhaber 12Jul-01 johann faulhaber. http://www.olemiss.edu/depts/educ_school/CI/3m/Johann_Faulhaber_webb.htm

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22. [math/9207222] Johann Faulhaber And Sums Of Powers Early 17thcentury mathematical publications of johann faulhaber contain someremarkable theorems, such as the fact that the $r$-fold summation of $1^m,2^m http://arxiv.org/abs/math.CA/9207222

Mathematics, abstract math.CA/9207222 From: Maggie McLoughlin [ view email ] Date: Mon, 27 Jul 1992 00:00:00 GMT (18kb) Johann Faulhaber and sums of powers Authors: Donald E. Knuth Report-no: Knuth migration 11/2004 Subj-class: Classical Analysis and ODEs Journal-ref: Math. Comp. 61 (1993), no. 203, 277294 Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv math find abs

23. Mathematics Authors/titles Jul 1992 Title johann faulhaber and sums of powers Authors Donald E. Knuth SubjclassClassical Analysis and ODEs Journal-ref Math. Comp. 61 (1993), no. http://arxiv.org/list/math/9207

Mathematics Authors and titles for Jul 1992 math.CV/9207201 abs ps pdf other Title: Holomorphic curvature of Finsler metrics and complex geodesics Author: Marco Abate Giorgio Patrizio Subj-class: Complex Variables MSC-class: math.CV/9207202 abs ps pdf other Title: Sequences of analytic disks Author: Evgeny A. Poletsky Subj-class: Complex Variables MSC-class: math.LO/9207203 abs ps pdf other Title: Covering games and the Banach-Mazur game: k-tactics Authors: Tomek Bartoszynski Winfried Just Marion Scheepers Subj-class: Logic math.LO/9207204 abs ps pdf other Title: Donder's Version of Revised Countable Support Authors: Ulrich Fuchs Subj-class: Logic math.LO/9207205 abs ps pdf other Title: Remark on the Failure of Martin's Axiom Authors: Avner Landver Subj-class: Logic math.FA/9207206 abs ps pdf other Title: Banach Spaces Of The Type Of Tsirelson Authors: Spiros A. Argyros Irene Deliyanni Subj-class: Functional Analysis math.FA/9207207 abs ps pdf other Title: On Weakly Null FDD's in Banach Spaces Authors: Edward Odell Haskell P. Rosenthal Thomas Schlumprecht Subj-class: Functional Analysis MSC-class: math.FA/9207208

24. Citebase - Johann Faulhaber And Sums Of Powers johann faulhaber and sums of powers. Authors Knuth, Donald E. Early 17thcenturymathematical publications of johann faulhaber contain some remarkable http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/9207222

25. Citebase - Combinatorial Interpretations Of The Q-Faulhaber And Q-Salie Coeffici johann faulhaber, Darinnen die miraculosische Inventiones zu den hochsten Cossen Donald E. Knuth, johann faulhaber and sums of powers, Mathematics of http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0506274

26. The Galileo Project faulhaber, johann. 1. Dates Born Ulm, 5 May 1580 Died Ulm, 1635 DateinfoDates Certain Lifespan 55; 2. Father Occupation Artisan His father http://galileo.rice.edu/Catalog/NewFiles/faulhabr.html

Faulhaber, Johann 1. Dates Born: Ulm, 5 May 1580 Died: Ulm, 1635 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Artisan His father Samuel, was a weaver. His family had been vassals of the abbot of Fulda from 1354 to 1461. They are said to have been poor. 3. Nationality Birth: Ulm, Germany Career: Ulm, Germany Death: Ulm, Germany 4. Education Schooling: No University He was taught mathematics by David Saelzlin, a resident of Ulm. 5. Religion Affiliation: Luthern (assumed) The references to dangerous theological views are too vague to interpret. 6. Scientific Disciplines Primary: Mathematics, Military Engineering Subordinate: Alchemy. 7. Means of Support Primary: Schoolmaster, Military Engineer He was trained to be a weaver like his father. After he had shown his ability in mathematics, the city of Ulm appointed him town mathematician, standards master, and surveyor. As far as I can tell, he retained this position for the rest of his life. He founded a school in Ulm in 1600, and from 1604 he was paid a salary of 30 gulden. He did a great deal of work on fortifications for Basel (1622), Frankfurt (1630), Randegg, Schaffhausen, Fuerstenberg, Memmingen, Lauingen, and other cities.

27. Arithm10 Around 1631, a mathematician named johann faulhaber (15801635) derived a formulafor sums of any power. His method used an expansion that looked very http://www.pballew.net/arithm10.html

Mathwords, pg 10 Back to Math Words Alphabetical Index Acre The root of the word acre is the Greek agros for field. The same root gives us many modern words related to agriculture. Although the original root described any open area, by the time of the Anglo-Saxons it was used more specifically as the amount of land a yoke of oxen could plow in one day. Sometime in the middle ages it was set equal to its current size, a unit of land equal to 4840 square yards, or 43,560 square feet. Antares The brightest star in the Southern Hemisphere is actually a double star system approximately 424 light years from the earth in the constellation of Scorpio. The name antares tells what it is not, literally meaning "not Mars" drawn from anti , for not, and Ares which was the Greek name for the Planet Mars. Ares was the Greek God of War. Because both the planet and the double star have a reddish color, they may have often been confused, leading to the name of the star. Bernoulli Numbers Student's often learn to find the sum of the counting numbers, 1+2+3+...+n by using the formula (n)(n+1)/2. Later they may even discover a formula for the sums of squares, . Around 1631, a mathematician named

28. René Descartes (1596-1650) of the magician Raymond Lulle and the alchemist Cornelius Agrippa, Descarteswas impressed by the German mathematician and Rosicrucian johann faulhaber. http://www.hfac.uh.edu/gbrown/philosophers/leibniz/BritannicaPages/Descartes/Des

29. Michael Von Faulhaber Michael von faulhaber was born in Klosterheidenfeld, Germany, on 5th March, 1939 to celebrate Hitler s escape from johann Elser s assassination attempt. http://www.spartacus.schoolnet.co.uk/GERfaulhaber.htm

Michael von Faulhaber Spartacus USA History British History Second World War ... Email Michael von Faulhaber was born in Klosterheidenfeld, Germany , on 5th March, 1869. He taught in Strasbourg before becoming Bishop of Speyer in 1911. A strong supporter of Germany's involvement in the First World War , Faulhaber was appointed Archbishop of Munich-Freising in 1917. Four years later he was made a Cardinal. After Adolf Hitler obtained power in 1933 Faulhaber tried to ma intain good relations with the government while seeking to preserve the power of the Catholic Church. In 1934 he published Judenum, Christentum, Germanentum , a book that defended the principles of racial tolerance and humanity and called for the people of Germany to respect the Jewish religion. However, Faulhaber, and other Catholic bishops, made no open protest against the atrocities being committed against the Jews in Germany.

30. , Antiquariaat Forum johann faulhaber was brought up to become a weaver like his father, but he soonturned to 114132; K. Hawlitschek, johann faulhaber 1580-1635. http://www.forum-hes.nl/forum/main_stocklist.phtml/view/6180?view=yes

31. , Antiquariaat Forum johann faulhaber was brought up to become a weaver like his father, but he soonturned to mathematics. He became the most important of the Cossists , http://www.forum-hes.nl/forum/main_stocklist.phtml/view/5C9E71IPSB1L?view=yes

32. Universitätsbibliothek Augsburg - Digitales Dokumentenarchiv - Liste Der Digita Translate this page faulhaber, johann, Unvernünfftiger Creaturen Weissagungen Das ist Beschreibungeines WunderHirschs, auch etlicher Heringen und Fisch, http://digbib.bibliothek.uni-augsburg.de/dda/flugschriften_autoren_f.html

Historische Flugschriften: Autoren A - Z Autor F Titel Signatur Faber, Zachaeus 02/IV.13.4.145angeb.07 Fabricius, Johann A. 02/IV.13.4.209angeb.01 Fabricius, Johann A. Relatio Trajani Boccalini ex Parnasso Ad Aulum Gallionem Calendis Decembribus Anno MDCLXXIV scripta : Continens fatum potentiae Seu praecipitium Wenceslai, Ducis Saganensis, principis Lobkowici ... / Johann Albert Fabricius* - Gratianopoli, 1675. - 40 S. 02/IV.13.4.203angeb.20 Fabricius, Johann A.: Trajani Boccalini De triplici pace, ex Parnasso novissima relatio ad amicum germanum / Johann Albert Fabricius* - S. l., 1679. - 16 S. 02/IV.13.4.209angeb.07 Fagel, Gaspar 02/IV.13.4.213angeb.22 Faulhaber, Johann 02/IV.13.4.176angeb.09 Fidelis, Eckhard Ratio status orbis Turcici et Christiani : Sive Gog duae alae: I. Populorum externorum in foedus et societatem assumtio, II. Christianorum interna discordia, maxime adhuc formidabiles et metuendae, vivis coloribus expressae - Lipsiae : Ritzsch, 1663. - 8, 160 S. 02/IV.13.4.197angeb.05

33. Universitätsbibliothek Augsburg - Digitales Dokumentenarchiv - Liste Der Digita Translate this page 30 S. Ill. faulhaber, johann, 02/IV.13.4.176angeb.09. Unverwerfflicher Beweiß,vertheidigend Die Behutsamkeit der Schwedischen Waffen, daß solche nicht http://digbib.bibliothek.uni-augsburg.de/dda/flugschriften_titel_u.html

Historische Flugschriften: Titel A - Z Titel U Autor Signatur 02/IV.13.4.213angeb.31 anonym 02/IV.13.4.166angeb.04 anonym 02/IV.13.4.168angeb.03 anonym 02/IV.13.4.213angeb.13 Karwat, Severinus 02/IV.13.4.189angeb.30 Fischart, Johann 02/IV.13.4.141angeb.04 anonym 02/IV.13.4.175angeb.01 anonym 02/IV.13.4.150angeb.1 anonym 02/IV.13.4.226angeb.01 anonym 02/IV.13.4.226 anonym 02/IV.13.4.187angeb.19 anonym 02/IV.13.4.200angeb.01 anonym 02/IV.13.4.148angeb.1 anonym 02/IV.13.4.148angeb.02 anonym 02/IV.13.4.180angeb.05 anonym 02/IV.13.4.221angeb.12 anonym 02/IV.13.4.221angeb.13 Neutralis, Wahremundus 02/IV.13.4.202angeb.03 anonym 02/IV.13.4.201angeb.11 anonym 02/IV.13.4.201angeb.10 Anderson Trana, Erich 02/IV.13.4.180angeb.07 anonym 02/IV.13.4.201angeb.01 Faulhaber, Johann 02/IV.13.4.176angeb.09 anonym 02/IV.13.4.204angeb.03 Wunderer, Johann D. 02/IV.13.4.148angeb.19 anonym 02/IV.13.4.183angeb.10 anonym 02/IV.13.4.191angeb.01 anonym 02/IV.13.4.148angeb.17 Historische Flugschriften Hauptseite

34. Evil Genius: An Experiment In Fantastic Philosophy faulhaber, johann Ford, Henry four bodies, the Foucault, Michel Freud, SigmundFussell, Scott Galileo Gass, William Geertz, Clifford Gergen, Kenneth http://mtsu32.mtsu.edu:11072/EvilGenius/Back_Pages/index/egindex2.html

E-J A-D K-N O-S T-Z ... j Eckhart, Meister Eco, Umberto Elias, Norbert Elizabeth, Princess Erasmus Esfandiary, F. M. fantastic philosophy Faulhaber, Johann Ford, Henry four bodies, the Foucault, Michel Freud, Sigmund Fussell, Scott Galileo Gass, William Geertz, Clifford Gergen, Kenneth Gibson, William Gitlin, Todd Glanvill, Joseph Goethe, Johann Wolfgang von Goncharov, Ivan Greene, Bob Grene, Marjorie Griffin, Susan Groddeck, Georg Grotius, Hugo Gunn, Thom Hamann, Johann von Haraway, Donna Hardison, O. B. "Heavy Bear Who Goes with Me, The" (Schwartz) Hebdige, Dick Heidegger, Martin Hersh, Reuben Hesse, Hermann Hillman, James Hobbes, Thomas Hofstadter, Douglas Holbrook, Bruce Holderlin, Friedrich Huizinga, Johann Hume, David Huxley, Alduous Huygens, Christian Ignatieff, Michael Invasion of the Body Snatchers Irigarary, Luce Jackson, Wes James, William Jameson, Frederic Jaspers, Karl Jastrow, Robert Joey, the mechanical boy Johnson, Samuel Jones, W. T. Jung, C. G.

35. 199507NL -- The Creation Science Association For Mid-America (CSA) He sought out the mathematician johann faulhaber, a professor at Ulm, who wasknown to be a senior member of the Rosicrucians and spent the entire winter of http://www.csama.org/199507NL.HTM

The Creation Science Association For Mid-America Visit us at - www.csama.org/index.htm The CSA NEWS This file is www.csama.org/199507nl.htm The Stuff That Dreams Are Made Of By Ian Taylor The history of the rise of humanism in Europe is the record of society's change in the way of thinking from being God-centered to becoming man-centered. This change was partially a reaction against the authoritarian rule by theologians who used Scripture to interpret nature but relied upon the writings of Aristotle to make those interpretations. [More than just a reaction to theologians, the change was also the "birth pangs" of the end-times rebellious spirit of man. He was rebelling against theologians, kings and all authorities, including God. Ed] This change in thinking began in the sixteen-hundreds and has continued into the present day but two names are recognized by historians as being more responsible than any other for initiating this humanist world view. Those two names are Francis Bacon and Rene Descartes. For example, the Harvard political historian Mark Henrie writing in 1987 said: "...modern rationalists with their complete skepticism about and animus towards existing social arrangements are most directly the heirs of Francis Bacon and Rene Descartes, who defined knowledge as universal human agreement based upon an infallible technique available to all: the scientific method. This narrow theory of knowledge is largely responsible for the prevalence of a mechanistic metaphor for reality and for the modern triumph of moral relativism, a perennial philosophical heresy which only in our age has presumed the robes of sacred truth."

36. Rene Des-Cartes  (1596 - 1650) - Determining Rosicrucian Affiliation Another close associate of Descartes, johann faulhaber, a mathematics professorat Ulm, dedicated his work, Mysterium Arithmeticum (1615), http://www.crcsite.org/affiliation.htm

Rosicrucian Library Contemporary Writings w Benedict Spinoza - Philosopher, Mystic, Rosicrucian w Determining Rosicrucian Affiliation René Des-Cartes (1596 - 1650) w w Perspective: The Importance of Versatility w Simon Studion, 1543-1605 ( ? ) w The R+C Legacy: Dr.John Dee w The Tomb of CRC Printer version Determining Rosicrucian Affiliation René Des-Cartes (1596 - 1650) From the book "Awakened Attitude" by Gary L Stewart. For more information on the book see the publisher In identifying certain historical persons involved with Rosicrucianism we need to keep in mind that because of various religious and political persecutions of centuries past, Rosicrucians, for obvious reasons, were sworn to secrecy regarding their membership. Even known Rosicrucian apologists such as Robert Fludd and Michael Maier never publicly verified their Rosicrucian affiliation. And yet, we know that a number of historical figures were Rosicrucian, and if one looks closely there are various references suggesting Rosicrucian affiliation that are often overlooked by historians as being insignificant. For example, the Royal Society of today is derived from the efforts of a group of known Rosicrucians: Theodore Haak, John Pell, and Samuel Hartlib, to name but a few. The group was first known as the "Invisible College," later as the "Rosicrucian College," and finally as the "Royal Society" a name conferred by King Charles II in 1662.

37. The Von Hacht Genealogy Web Page Daughter of johann and ?. Married to johann Dammann. Died on the 10.Aug.1783 . faulhaber, Dor. Elisabeth born unknown. Married to Samuel Brauer. http://www.tcsn.net/mswihart/relative.htm

Home Genealogy Kolb Favorite Links ... Girl Scouts Last Updated: Thursday, March 04, 1999 The von Hacht Genealogy Web Page Deutsch Welcome to my genealogy web page. My name is Dagmar Swihart. I've been researching for several years now. My mother-in-law introduced me to this never ending hobby...and I love it! My family on my fathers side is from the Hamburg area in Germany; as far as I have found. I have found the von Hacht name in Hamburg starting in 1450, but I haven't been able to link them yet. At that time, the name was spelled von Hachede. Most of these relatives were farmers. Here I have a picturemap , which I have taken from a schoolatlas. This picturemap was mad in the hear 1936. It is not a map in the sense of a regular map, but it will let you look at Hamburg and the surrounding area in the year 1936. I am hoping that it will help find a village, that was in the area of Hamburg. Most of the villages, that are shown on this map, belong today to Hamburg. On these pages I have an index of names, who had received a coat of arms from the city of Hamburg. Check it out and see if your family had a coat of arms.

38. Vol. 1 Ch. 5 Benjamin Bramer johann faulhaber. Fig. 40. Theoreticians in Nrnberg (15001625).also involved in the development of a new instrument, http://www.sumscorp.com/perspective/Vol1/ch5.htm

Dr. Kim H. Veltman V Instrumentation and Science Introduction Astronomy Optics Perspective ... Modern Developments 1. Introduction The development of perspective had fundamental consequences for science, art, the environment and the imagination. Each of these domains will be considered in turn in the chapters that follow. 2. Astronomy Ever since the Babylonians, there had been observation of the heavens and, already in Antiquity, there were instruments to observe the apparent motions of the planets and stars. Yet the focus of attention was on finding a pattern for phenomena such as eclipses of the sun and moon. Since the heavens were assumed to be unchanging, astronomy became primarily a conceptual problem of accounting for a set of recurring events. Indeed, once a basic catalogue of stars visible to the naked eye had been made, there was little incentive to look more closely. Hence, paradoxically, although ancient astronomy produced various instruments for observation of the heavens, it remained in many ways unvisual: a question of deceptive appearances1 rather than of visual truth. The development of the planisphere and astrolabe2 imposed a deductive grid on the heavens, not unlike that of Ptolemy's projection in his

39. University Of New Hampshire Library - Milne Special Collections And Archives - P 1610, johann faulhaber, 15801635, Newe Geometrische und Perspectiuische InuentionesEtlicher Sonderbahrer, Vault QA 33 F38. 1613, Lucius Annaeus Seneca, http://www.izaak.unh.edu/specoll/mancoll/pre1750.htm

Pre-1750 Publications Date Imprint Call No. Catholic Church, Liturgy and Ritual, Hours, Ohhitiu Beate Marie Virginis Saint Antonius, apb. of Florence, 1389-1459, Summa Theologica, Tertia Pars Totius Sume Maioris Beati Antonini Marcus Tullius Cicero, De Oratore, De Perfecto Oratore Vault C. Julius Caesar, I Commentari De Caio Givlio Cesare Vault Publius Vergilius Maro, Flavius Arrianus, Arrianou Peri Anabaseos Alexandrou, 1575 Historion Biblio E Ariani De Expedit [Ione] Alex [Andri] Magni, Historiarum Libri VIII. Ex Bonavent. VVLCANII, Ex Plut.; Eivsdem Libri II De Fortuna Vel Virtute Alexandri Sebastian Munster, Cosmographey/Oder Beschreibung/Aller Laender Herrschafften/ Und Furnembsten Stetten jDes Gantzen/ Erdbodens, Sampt Ihren Gelegenheiten, Eygenschafften.... Vault Lodovico, Ariosto, 1474-1533, Venetia: Appresso F. Valgrisi, 1587 Vault PQ 4567 Barnabe Brisson, De Verborum Quae ad jus Pertinent Significatione , Parisiis: Nivellium, 1596 John Dickenson, Vault 094.l Jean Calvin, A Harmonie Upon the Three Evangelistes Matthewe, Marke, and Luke , Londini.

40. Knuth: Preprints TeX file bnfc.tex (10866 bytes); P142 johann faulhaber and sums of powers.TeX file jfsp.tex (18858 bytes); P141 Convolution polynomials. http://www-cs-faculty.stanford.edu/~knuth/preprints.html

Preprints of Recent Papers Electronic approximations to most of the papers I've written since 1990 can be downloaded by clicking appropriate links below. In general, these files are in plain TeX format, and they represent the initial form of the paper before copy editing and other improvements made by the publishers. To typeset many of these files you will need Macros for illustrations picmac.tex (2458 bytes) . Sometimes you also need to generate illustrations with the MetaPost source files provided. The published papers often include illustrations that are not available in electronic form. These preprints are classified into four categories: Refereed papers Unrefereed papers Informal notes Miscellaneous In each group the papers are listed in reverse chronological order. Identification numbers like P156 and Q133 refer to my list of publications , where complete bibliographic data can be found. Refereed Papers The following papers have been or are being refereed: P160 Efficient coroutine generation of constrained Gray sequences, aka ``Deconstructing coroutines'' (written with Frank Ruskey). TeX file deco.tex

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