21. Porträt-Galerie + PORTRAIT-ANTIQUARIAT KLAUS HILLE / BERLIN + Translate this page kaestner, abraham Gotthelf. geb. 1719 in Leipzig gest. 1800 in Göttingen.Mathematiker, Naturforscher, Astronom, Dichter. 1746 Prof. in Leipzig, http://www.portrait-hille.de/kap07/bild.asp?catnr1=4545&seqnr=1530

22. Miniaturbilder Zur Porträt-Galerie + PORTRAIT-ANTIQUARIAT KLAUS HILLE / BERLIN Translate this page GALERIE kaestner, abraham Gotthelf. xx, kaestner, abraham Gotthelf. xx,Brustbild nach rechts. xx. STAHLSTICH. xx. ohne Adresse, um 1850 http://www.portrait-hille.de/kap07/Bildliste.asp?catnr1=4545

23. Studio Fuer Alte Deutsche Literatur: Aufklaerung - Autoren - Abraham Gotthelf Ka Translate this page Aufklaerung, abraham Gotthelf Kästner geb. 27.9.1719 Leipzig gest. 20.6.1800 Göttingen.Biographie Mathematik in Göttingen abraham Gotthelf Kästner http://www.ni.schule.de/~pohl/literatur/sadl/aufklaer/kaestner.htm

geb. 27.9.1719 Leipzig Biographie "De theoria radicum in aequationibus" Lessing "Aequationium speciosarum resolutio Newtoniana per series" "Anfangsgründe der Analysis endlicher Größen" "Geschichte der Mathematik" Gottsched selbst. Der junge Kästner war offenkundig von Gottscheds Standpunkt sehr eingenommen, Vernunft und Regelmäßigkeit von der Dichtung zu fordern. Der scharfe Verstand Kästners trat auch sofort für Gottsched ein, als es galt, die "Schweizer" ( Bodmer und Breitinger "Belustigungen des Verstandes und Witzes" erschienen, weitgehend hervorgetan. Später, in den 50er Jahren, nahm Kästner an der Arbeit der "Gesellschaft der freyen Künste" in Leipzig, Gottscheds Altersgründung, teil. Es ist wohl nur aus der wissenschaftlichen Vielseitigkeit und bemerkenswerten Regsamkeit Kästners zu erklären, dass er nebenher an den "Göttingischen Gelehrten Anzeigen" und der "Allgemeinen Deutschen Bibliothek"

24. Mathematik In Göttingen: Abraham Gotthelf Kästner seiner Zeit der beste Mathematiker und unter den Mathematikern seiner Zeit http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/kaestner.html

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Abraham Gotthelf Kästner Aus: Heyne's Lobrede auf Kästner. Der berühmte Christian Gottlob Heyne in Göttingen hielt Kästner ein Elogium in der Sozietät der Wissenschaften, das viele treffende und auch noch für unsere Zeit nützliche Bemerkungen an die Erinnerung dieses hervorragenden Mannes anknüpft und deshalb die allgemeine Verbreitung verdient. Es folgt hier deutlich (nach Schlichtegrolls Retrolog auf das Jahr 1800, Gotha 1806). Das lateinische Original findet sich in Commentationes Soc. Gott, T. XV. "Niemals hätte ich geglaubt, daß ich nach der Totenfeier unseres Gatterer, der als Kollege bei der Universität und als Mitglied dieser Sozietät mein unmittelbarer Nachbar und mein engverbundener Freund war, nun auch noch unsern Kästner, meinen Landsmann und Kollegen bei der Universität und in dieser besonderen Verbindung, auch noch überleben und hier zu seinem Andenken sprechen würde. Zwar schien dies dem Naturgesetz gemäß, da er zehn Jahre älter war als ich; aber seine festere Gesundheit, seine größere Geisteslebhaftigkeit ließen mich nicht hoffen, daß ich ihm mit gleichen Schritten folgen würde. Doch worauf dürfte man wohl bei der Hinfälligkeit des menschlichen Lebens rechnen, das nicht durch Zufall oder durch das mit seinem Scharfsinn zu ergründende Gesetz der menschlichen Schicksale oft unversehens und gegen Erwartung vereitelt werden könnte? Das ist eben auch die Ursache, die uns bei der Unmöglichkeit, künftige Schicksale voraus zu sehen, bewegen muß, unbesorgt für die Zukunft nur für den heutigen Tag zu leben, indem wir jeden Tag so ansehen, als sei er ein ganzes Leben.

25. Riemann For Anti-Dummies, Part 26 IDEAS CAST SHADOWS, TOO It Can to the 1970 republication of abraham kaestner s Geschichte der Mathematik . It is precisely kaestner s disrespect for these sophists for which he http://wlym.com/antidummies/part26.html

Riemann for Anti-Dummies, Part 26 IDEAS CAST SHADOWS, TOO It can be a source of confusion for the naive, and a means of deception of the wicked, to restrict the meaning of Plato's metaphor of the cave, to those objects that originate outside of one's skin. As all great scientists have come to know, ideas cast shadows, too. A true scientist never mistakes the shadows for the idea, seeking instead to discover the idea from between the shadows. Those who merely manipulate shadows are called sophists. This defines the clear distinction between the concept of the complex domain of Gauss and Riemann, and the sophistry of Euler, Lagrange and D'Alembert. The former understood complex numbers as a simple case of a hierarchy of multiply extended magnitudes, or as Gauss called them, "shadows of shadows." The latter considered complex numbers, "impossible," but susceptible to complicated, but ultimately meaningless, symbolic manipulation, whose very complexity is intended to obscure its trickery. A passion for sophistry pervades modern academia, as exemplified by J. E. Hofmann, who penned the forward to the 1970 republication of Abraham Kaestner's "Geschichte der Mathematik." As LaRouche indicated in footnote 42 of his new piece, "At the End of a Delusion," Hofmann complains that Kaestner did not show sufficient respect for the achievements of the great mathematicians of his time Euler, Lagrange, and D'Alembert. It is precisely Kaestner's disrespect for these sophists for which he deserves our great admiration and respect today. As the history of the discovery of the complex domain demonstrates, Hofmann's blunder is not only a matter of a lack of comprehension of the subject, it is also indicative of the illiteracy of modern academia.

26. Riemann For Anti-Dummies Part 11 TRANSCENDING EUCLID It Is Crucial abraham Gotthelf kaestner, who had come from Leipzig in 1750, and under whom Initially, he thought kaestner was a dull old man, but, I have since http://wlym.com/antidummies/part11.html

Riemann for Anti-Dummies Part 11 TRANSCENDING EUCLID It is crucial for anti-dummies to always bear in mind the groundwork for all modern science, that Nicholas of Cusa teaches us in "On Learned Ignorance": The irony is, that if the universe conformed to perfect mathematical rules, it would not be discoverable. As Kepler describes this process in the "Harmonies of the World": "... [U]nless the Earth, our domicile, measured out the annual circle, midway between the other spheres changing from place to place, from station never would human cognition have worked its way to the true intervals of the planets, and to the other things dependent from them, and never would it have constituted astronomy." Cusa's method had opened the door, not only to Kepler's revolutionary discoveries, but, to the revolutionary discoveries of Fermat, who abandoned the path of shortest distance for the path of least time; J.S. Bach, who rejected abstract mathematical notions of musical intervals, creating the well-tempered system through his compositions; and Leibniz, who created the mathematics of non-constant curvature, that he called the infinitesimal calculus, to name but a few. It was through this doorway, that the 18-year old Gauss walked on March 30, 1796, when he made his first entry into his scientific notebook his discovery of the constructability of the 17-sided polygon. For more than 2000 years, it was believed that it were impossible to construct a 17-sided regular polygon with straight-edge and compass. On this day, Gauss recalled, after much hard work, the possibility of such a construction appeared to him all at once.

27. Bruce Randall Donald -- Lineage Advisor, abraham Gotthelf kaestner 3,4,6. 13, abraham Gotthelf kaestner, Degree,Doctorate 5 (Ph.D. 6) **. Institution, Universit?Leipzig 4,5,6 http://www.cs.dartmouth.edu/~brd/lineage.html

Gauss was my great -grand Advisor Academic Lineage From Eric Paulos's investigations "Seems like a silly thing but I was curious one day so I traced it back as far as I could. Updates to this as I learn more. Individuals are listed in the form (Name / Place of PhD / Date of PhD). I traced it by hand back to 1954 but through the genius of the Theory of Computation Ph.D. Genealogy Database and The TCS Genealogy I was able to go back to 1856. Very nice. Things get really interesting because Franz Neumann was influenced by Euler and Kirchhoff was one of his students. Also, Carl Neumann was a friend of Ludwig Otto Hesse and studied Riemann surfaces." I have not constructed a lineage for my postdocs but that would be interesting to do. Camerarius? / Tubingen / 1687 Christian August Hausen / Wittenberg Academy / 1713 Anraham Gotthelf Kaestner / Göttingen University / 1739 Johann Friedrich Pfaff / Göttingen University / 1788 Dissertation tite: Programma inaugurale in quo peculiarem differentialia investigandi rationem ex theoria functionum deducit Johann Carl Friedrich Gauss / Brunswick Collegium Carolinum / 1799 Georg Friedrich Bernhard Riemann / Göttingen University / 1849 Carl Gottfried Neumann (Note: Carl was the son of Franz Neumann / Berlin / 1825) William Edward Story / Leipzig / 1875 Solomon Lefschetz / Clark University, Worcester, MA / 1911

28. Academic Tree kaestner, abraham Gotthelf (17191800) LLM, Leipzig, 1737. ò. Hausen, ChristianAugust (1693-1743) Dr. Phil., Martin-Luther-Universität Halle-Wittenberg, http://pages.stern.nyu.edu/~panos/tree.html

Ipeirotis, Panagiotis PhD, Computer Science, Columbia University, 2004 Dissertation Title: Classifying and Searching Hidden-Web Text Databases Gravano, Luis PhD, Computer Science, Stanford University, 1997 Dissertation Title: Querying Multiple Document Collections across the Internet Garcia-Molina, Hector PhD, Computer Science, Stanford University, 1979 Dissertation Title: Performance of Update Algorithms for Replicated Data in a Distributed Database Wiederhold, Gio C M PhD, Medical Information Science, University of California, San Francisco, 1976 Dissertation Title: Methods for the Design Analysis of Medical Data Base Systems Starkweather, John Amsden PhD, Psychology, Northwestern University, 1955 Dissertation Title: Judgments of Content-Free Speech as Related to Some Aspects of Personality Duncan, Carl Porter PhD, Psychology, Brown University, 1947 Dissertation Title: The Effect of Electroshock Convulsions on Learning and Retention in The Rat Schlosberg, Harold

29. Richard Delaware Mathematics Genealogy And Erdos Number 1668 Mencke, Otto; 1685 Wichmannshausen, Johann; 1713 Hausen, Christian;1739 kaestner, abraham; 1786 Pfaff, Johann; 1799 Gauss, CF; 1812 Gerling, Christian http://d.faculty.umkc.edu/delawarer/RDgen.htm

Richard Delaware My Mathematics Genealogy, and My Erdös Number My Mathematics Genealogy My Erdös Number is 4 GO TO Richard Delaware Curriculum Vitae GO TO Richard Delaware Home Page Mathematics Genealogy Trees The year listed is the year the Ph.D. was awarded. Tree 1: By major advisors: 1668 Mencke, Otto 1685 Wichmannshausen, Johann 1713 Hausen, Christian 1739 Kaestner, Abraham 1786 Pfaff, Johann 1799 Gauss, C. F. 1812 Gerling, Christian 1868 Klein, C. Felix 1873 Lindemann, C. L. Ferdinand 1885 Hilbert, David 1911 Steinhaus, Hugo 1921 Rajchman, Aleksander 1923 Zygmund, Antoni 1954 Waterman, Daniel 1966 Solomon, Donald 1973 Foran, James Delaware, Richard Tree 2: By major advisors up to Klein, then again major advisors above Klein's second advisor, Lipschitz: 1650 Weigel, Erhard 1666 Leibniz, Gottfried - Bernoulli, Jacob 1694 Bernoulli, Johann 1726 Euler, Leonhard - Lagrange, Joseph L. - Poisson, Simeon 1827 Dirichlet, Gustav 1853 Lipschitz, Rudolf 1868 Klein, C. Felix 1873 Lindemann, C. L. Ferdinand 1885 Hilbert, David 1911 Steinhaus, Hugo

30. Also Available At Http//math.ucr.edu/home/baez/week166.html March Pfaff s advisor was abraham kaestner. This is as far back as I can go, and kaestneris my only ancestor that I d never heard of. He wrote a 4volume history http://math.ucr.edu/home/baez/twf_ascii/week166

31. Week166 Pfaff s advisor was abraham kaestner. I d never heard of him before now. He wrotea 4volume history of mathematics, but his most important work was on http://math.ucr.edu/home/baez/week166.html

March 27, 2001 This Week's Finds in Mathematical Physics (Week 166) John Baez Do you know this number? They say that mathematics is not really about numbers, and they're right. But sometimes it's fun to play around with the darn things! Given any positive number you can work out its continued fraction expansion, like this: sqrt(2) = 1 + 1 - 2 + 1 2 + 1 - 2 + 1 2 + 1 2 + 1 . . . But normally it won't look so pretty! A number is rational if and only if the continued fraction stops after finitely many steps. If its continued fraction expansion eventually repeats, like this: sqrt(3) = 1 + 1 - 1 + 1 2 + 1 - 1 + 1 2 + 1 1 + 1 . . . then it satisfies a quadratic equation with integer coefficients. So the continued fraction expansion of e can't ever repeat... but it's cute nonetheless:

32. Konstantin Igudesman abraham Gotthelf kaestner Ph.D. UniversitÄt Leipzig 1739 Advisor 1 abrahamkaestner kaestner has already appeared above as the advisor of Pfaff. http://www.ksu.ru/eng/departments/f5/kgeometry/igudes/collab_genealogy.htm

Konstantin Igudesman Genealogy General Information Research Teaching HOME Konstantin Igudesman and his academic forefathers The following information (incipient from Sergei P. Finikov) is an excerpt from the material that can be found at the homepage of The Mathematics Genealogy Project. The intent of this project is to compile information about ALL the mathematicians of the world. By searching, e.g., for Last Name "Finikov" at http://genealogy.math.ndsu.nodak.edu/html/search.shtml#" one can find Finikov's entry. By clicking on Finikov's name (almost) all his Ph.D. students are listed alphabetically, and his Ph.D. advisor (Dmitri Egorov) is displayed. By clicking on "Dmitri Egorov" one can find his advisor (Nicolai Bugaev) and so on. The list of doctoral father, doctoral grandfather, doctoral great grandfather, etc. below has been collected from the wonderful data repository of the Mathematics Genealogy Project. Konstantin Igudesman Ph.D. Kazan State University 2000

33. Limsoon's Academic Genealogy abraham Gotthelf kaestner, PhD 1739, Universitat Leipzig 5 kaestner wasinterested in poetry in addition to mathematics. His teacher in that field was http://www.comp.nus.edu.sg/~wongls/genealogy.html

Limsoon's academic genealogy Experience is something you don't get until just after you need it. Limsoon Wong , PhD 1994, University of Pennsylvania Peter Buneman, PhD 1970, University of Warwick Erik Christopher Zeeman , PhD 1955, University of Cambridge Sir Erik (born February 4 1925), is a mathematician known for work in geometric topology and singularity theory. He was born in Aarhus, Denmark, and received a B.A. and Ph. D. from the University of Cambridge. After working at Cambridge, as well as the University of Chicago, Princeton and the Institut des Hautes Etudes Scientifiques, he founded the Mathematics Department and Mathematics Research Centre at the University of Warwick in 1964. Shuan Wylie, PhD 1937, Princeton University Solomon Lefschetz , PhD 1911, Clark University William Edward Story, PhD 1875, Universitat Leipzig Carl Gottfried Neumann Christian Felix Klein Carl Gottfried Neumann , Dr. phil 1856, Universitat Konigsberg Ludwig Otto Hesse , Dr. phil 1840, Universitat Konigsberg Karl Gustav Jacob Jacobi, PhD 1825, Humbolt-Universitat zu Berlin

34. Rare Mathematics Titles kaestner, abraham Go, Geschichte der Mathematik seit Wiederherst, 1796. Lagrange,JL, Theorie des fonctions analytiques, contena, 1797 http://web.uflib.ufl.edu/spec/rarebook/science/math2.htm

From: A Treatise of the System of the World. By Isaac Newton. London, 1728. MATHEMATICS Date Author Index Library Catalog Fine, Oronce, Orontii Finaei Delphinatis, regii mathemat Archimedes. Archimedis opera non nvlla Euclid. De gli Elementi d'Euclide libri quindici Vicentino, Silvio Be Quattro libri geometrici Oughtred, William, Arithmeticae in numeris et speciebus insti Potter, Francis, An interpretation of the number 666. Bassi, D. Giulio. Dell' arimmetica pratica Vossius, Gerardus Jo Gerardi Ioannis Vossii De qvatvor artibvs Vlacq, Adriaan. Tables de sinus tangentes, secantes: et de Ward, Seth, Idea trigonometriae demonstratae : in usum Angeli, Stefano degl Problemata geometrica sexaginta. Circa con Euclid. Euclid's elements of geometry / In XV. Bo Barrow, Isaac, Lectio reverendi et doctissimi viri D. Isa Euclid. Euclidis Elementorum libri XV breviter dem Davila y Heredia, An Demostrar la inteligencia de Archimedes, q Ozanam, Jacques, Tables des sinus, tangentes et secantes; e Euclid.

35. Rare Astronomy Titles kaestner, abraham Go, Geschichte der Mathematik seit Wiederherst, 1796. Keill, John,An examination of the reflections on the t, 1699 http://web.uflib.ufl.edu/spec/rarebook/science/astro.htm

From: The Mathematical and Philosophical Works of the Right Reverend John Wilkins. London, 1708. (Listed in General ASTRONOMY Author Date Index Library Catalog Ali ibn Abi al-Rijal Albohazen Haly filii Abenragel libri De ju Bailly, Jean Sylvain Histoire de l'astronomie moderne depuis la Bailly, Jean Sylvain Histoire de l'astronomie moderne depuis la Baxter, Andrew, Matho : or, The cosmotheoria puerilis, a d Bonatti, Guido, Guidonis Bonati foroliviensis mathematici Burritt, Elijah H. Atlas designed to illustrate the Geography Copernicus, Nicolaus Nicolai Copernici Torinensis. Astronomia i Costard, George, A letter to Martin Folkes, esq., president Curson, H. The theory of sciences illustrated; or, Th Delmedigo, Joseph So Elim : Ma`yan ganim : Hukot shamayim : Gev Ewing, John, A plain elementary and practical system of Ferguson, James, Astronomy explained upon Sir Isaac Newton' Ferguson, James, Astronomy explained upon Sir Isaac Newton' Ferguson, James, The young gentleman and lady's astronomy, Fontenelle Conversations on the plurality of worlds.

36. Bibliography kaestner, abraham Gotthelf, 17191800, Philosophisch-mathematische Abhandlungen,Halle, Bey Johann Jacob Gebauer, 1807 http://www.library.cornell.edu/math/bibliography/display.cgi?start=K&

37. History Of Astronomy: Persons (K) Kästner kaestner, abraham Gotthelf (17191800). Short biography andreferences (MacTutor Hist. Math.) Crater Kästner (lunar feature) http://www.astro.uni-bonn.de/~pbrosche/persons/pers_k.html

History of Astronomy Persons History of Astronomy: Persons (K) Deutsche Fassung Kaiser, Frederik [Frederick] (1808-1872) Short biography (in Dutch) Short biography (in Dutch) Leidsch Astronomisch Dispuut `F. Kaiser' (in Dutch) Find more about F. Kaiser with Alta Vista Kaiser, Wilhelm (1895-1983) Index of archival sources (in German, partly in French and Italian) Kant, Immanuel (1724-1804) Immanuel Kant - Information Online (most in German) Short biography and references (in German) Short biography (Eric Weisstein's Treasure Trove) Short biography Short biography Kant's System of Perspectives , by Stephen Palmquist The Architectonic Form of Kant's Copernican System Hume, Kant, and Rational Theism , by Hugo Meynell With some examples from the history of astronomy. Kant, Immanuel: Allgemeine Naturgeschichte und Theorie des Himmels "Universal Natural History and Theory of Heaven". German text and a new English translation by Ian C. Johnston. Kant on the Web Kapahi, Vijay K. (1944-1999)

38. History Of Astronomy: What's New At This Site On May 5, 1999 Kästner kaestner, abraham Gotthelf (17191800). Short biography and references Crater Kästner (lunar feature). Krylov, Aleksej Nikolaevich (1863-1945) 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)

39. John Locke Bibliography Name/Title Index K kaestner, abraham Gotthelf. 1765. (ed.) Oeuvres philosophiques latines françoisesde feu Mr. de Leibnitz. 1790. “Über die geometrischen Axiome.” http://www.libraries.psu.edu/tas/locke/nk.html

40. Kaestner Translate this page Kästner, abraham Gotthelf, deutscher Mathematiker * 27. 9. 1719 Leipzig, † 20.6. 1800 Göttingen. Arbeitsgebiete Grundlagen der Geometrie http://www.studienseminare-duesseldorf.nrw.de/sekundI/Seminare/Mathe/Kaleidoskop

Zurück zur Übersicht Biografien Kästner , Abraham Gotthelf, deutscher Mathematiker Arbeitsgebiete: Grundlagen der Geometrie Kästner lehrte seit 1756 in Göttingen.

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