1. Hankel The mathematician who developed Hankel functions and the Hankel transform.Category Science Physics Mathematical Physics People......Hermann Hankel. Born Hermann Hankel's father was Wilhelm Gottlieb Hankelwho was a physicist at Halle at the time Hermann was born. Hermann http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Hankel.html

Hermann Hankel Born: 14 Feb 1839 in Halle, Germany Died: Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hermann Hankel 's father was Wilhelm Gottlieb Hankel who was a physicist at Halle at the time Hermann was born. Hermann began his education in Halle but, in 1849 Wilhelm was appointed to the chair of physics at Leipzig so the family moved to Leipzig where Hermann attended the Nicolai Gymnasium. At the gymnasium he [1]:- ... improved his Greek by reading the ancient mathematicians in the original. In 1857 Hankel entered the University of Leipzig where he studied mathematics with Riemann and then, in the following year, he worked with Weierstrass and Kronecker in Berlin. He received his doctorate for a thesis Uber eine besondere Classe der symmetrischen Determinanten in 1862. Hankel's habilitation He worked on the theory of complex numbers, the theory of functions and the history of mathematics. His work on complex analysis, however, is not considered of the first rank and in [8] he is included with those who contributed but whose:- ... influence on the foundations of complex analysis was not as essential as that of those mathematicians discussed in more detail Riemann Weierstrass Hurwitz Bieberbach Hankel made a systematic study of the rules of arithmetic with his Prinzip der Permanenz der formalen Gesetze (1867), see [7]. He wrote another important work which was also published in 1867

2. Virtual Encyclopedia Of Mathematics john hahn hans hall philip halley edmond halphen george henri halsted george brucehamilton sir william rowan hamilton william hankel hermann hardy claude 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

3. Hankel, Hermann (1839-1873) -- From Eric Weisstein's World Of Scientific Biograp Branch of Science " Mathematicians Nationality " German hankel, hermann (18391873) German mathematician who advocated an intellectual mathematics detached from all perceptions. He wrote Theorie der komplexen Zahlensystem (1867). Additional http://scienceworld.wolfram.com/biography/Hankel.html

Branch of Science Mathematicians Nationality German Hankel, Hermann (1839-1873) German mathematician who advocated an intellectual mathematics detached from all perceptions. He wrote Theorie der komplexen Zahlensystem Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

4. Untitled Handlirsch, Martha. hankel, hermann (18391873). hankel, Wilhelm (1814-1899) http://www.lrz-muenchen.de/~Sommerfeld/PersDat/H.html

Suche nach Personen A B C D ... Z H H., P. v. Haab, Otto (1850-1931) Haack, Amelie Haack, [Gutsherr Kassigkehmen] ... Institutionen Ausgelesen am 29. Dezember 2002.

5. Bibliography hankel, hermann. 1867. Theorie der complexen Zahlensysteme insbesondere der gemeinen imaginären Zahlen und der http://www.hf.uio.no/filosofi/njpl/vol3no1/algbrlog/node4.html

Next: Up: Hugh MacColl and the Previous: 3 Conclusion Bibliography Bain, Alexander. 1870. Logic. vol. 1: Deduction, vol. 2: Induction Polish translation: Bain 1878. Logika. vol. 1: Dedukcya, vol. 2: Indukcya Sk ad g Stanis aw Pi tkiewicz and the beginnings of mathematical logic in Poland. Historia Mathematica , vol. 23, pp. 68-73. Boole, George. 1854. An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities Repr. Dover, New York, 1958. Christie, Anthony. 1986. Hugh MacColl in der wissenschaftlichen Literatur seit 1910: Zur Methodik. Typescript, 5 pp., March 1986. Nature as a source in the history of logic, 1870-1910. History and Philosophy of Logic , vol. 11, pp. 1-3. Frege, Gottlob. 1983. Booles rechnende Logik und die Begriffsschrift (1880/81). In Hans Hermes, Friedrich Kambartel, and Friedrich Kaulbach (eds.), Nachgelassene Schriften , pp. 9-52. Felix Meiner, Hamburg, 2nd edn. (Frege, Nachgelassene Schriften und Wissenschaftlicher Briefwechsel , vol. 1).

6. Hankel Biography of hermann hankel (18391873) hermann hankel. Born 14 Feb 1839 in Halle, Germany http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hankel.html

Hermann Hankel Born: 14 Feb 1839 in Halle, Germany Died: Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hermann Hankel 's father was Wilhelm Gottlieb Hankel who was a physicist at Halle at the time Hermann was born. Hermann began his education in Halle but, in 1849 Wilhelm was appointed to the chair of physics at Leipzig so the family moved to Leipzig where Hermann attended the Nicolai Gymnasium. At the gymnasium he [1]:- ... improved his Greek by reading the ancient mathematicians in the original. In 1857 Hankel entered the University of Leipzig where he studied mathematics with Riemann and then, in the following year, he worked with Weierstrass and Kronecker in Berlin. He received his doctorate for a thesis Uber eine besondere Classe der symmetrischen Determinanten in 1862. Hankel's habilitation He worked on the theory of complex numbers, the theory of functions and the history of mathematics. His work on complex analysis, however, is not considered of the first rank and in [8] he is included with those who contributed but whose:- ... influence on the foundations of complex analysis was not as essential as that of those mathematicians discussed in more detail Riemann Weierstrass Hurwitz Bieberbach Hankel made a systematic study of the rules of arithmetic with his Prinzip der Permanenz der formalen Gesetze (1867), see [7]. He wrote another important work which was also published in 1867

7. References For Hankel References for hermann hankel. Biography in Dictionary of Scientific Biography(New York 19701990). AF Monna, hermann hankel, Nieuw Arch. Wisk. http://www-gap.dcs.st-and.ac.uk/~history/References/Hankel.html

References for Hermann Hankel Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: A I Borodin, Mathematical calendar for the 1988/89 academic year (Russian), Mat. v Shkole M Cantor, Allgemeinen deutsche Biographie X (Leipzig, 1879), 516-519. A F Monna, Hermann Hankel, Nieuw Arch. Wisk. J Tappenden, Geometry and generality in Frege's philosophy of arithmetic, Synthese W von Zahn, Hermann Hankel, Mathematische Annalen P G J Vredenduin, Gleanings from the history of the negative number (Dutch), Euclides (Groningen) W Wieslaw, German analysts at the turn of the 19th-20th centuries (Polish), Opuscula Math. No. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Hankel.html

8. References For Hankel References for the biography of hermann hankel A F Monna, hermann hankel, Nieuw Arch. Wisk. (3) 21 (1973), 6487. http://www-history.mcs.st-and.ac.uk/~history/References/Hankel.html

References for Hermann Hankel Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: A I Borodin, Mathematical calendar for the 1988/89 academic year (Russian), Mat. v Shkole M Cantor, Allgemeinen deutsche Biographie X (Leipzig, 1879), 516-519. A F Monna, Hermann Hankel, Nieuw Arch. Wisk. J Tappenden, Geometry and generality in Frege's philosophy of arithmetic, Synthese W von Zahn, Hermann Hankel, Mathematische Annalen P G J Vredenduin, Gleanings from the history of the negative number (Dutch), Euclides (Groningen) W Wieslaw, German analysts at the turn of the 19th-20th centuries (Polish), Opuscula Math. No. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Hankel.html

9. Blank Entries From Eric Weisstein's World Of Scientific Biography Translate this page 1963) Hadfield, Robert (1858-1940) Hahn, Otto (1879-1968) Hall, Asaph (1829-1907)Hamilton, William (1788-1856) hankel, hermann (1839-1873) Harrington, Roy http://scienceworld.wolfram.com/biography/blank-entries.html

Any assistance in providing definitions for the following items would be greatly appreciated. Please send additions to scienceworld@wolfram.com Abbe, Ernst (1840-1905) Adams, John Couch (1819-1892) Aepinus, Franz (1724-1802) ... Zwicky, Fritz (1898-1974)

10. Fachdidaktische Prinz I Pien Als Grundlagen Einer Design Science dem Namen des Tübinger Mathematikers hermann. hankel (18391873) identifiziert, durch dessen http://www.ph-karlsruhe.de/~ziegenbalg/PermSig.pdf

11. Hankel, Hermann hankel, hermann (18391873). German mathematician and mathematical historianwho made significant contributions to the study of complex http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/H/Hankel/1.html

Hankel, Hermann German mathematician and mathematical historian who made significant contributions to the study of complex and hypercomplex numbers and the theory of functions. Much of his work was also in developing that of others. Hankel's Theorie der complexen Zahlensysteme 1867 dealt with the real, complex, and hypercomplex number systems, and demonstrated that no hypercomplex number system can satisfy all the laws of ordinary arithmetic. The Hankel functions provided a solution to the Bessel differential equation, which had originally occurred in connection with the theory of planetary motions. Today the equation is relevant in many fields. Hankel was also the first to suggest a method for assessing the magnitude, or 'measure', of absolutely discontinuous point sets (such as the set of only irrational numbers lying between and 1). The 'measure' theory of point sets has now been extensively applied to probability, cybernetics, and electronics.

12. Quotations By Hankel Quotations by hermann hankel. In most sciences one generation tears down what another has built, and what one has http://www-history.mcs.st-and.ac.uk/history/Quotations/Hankel.html

Quotations by Hermann Hankel In most sciences one generation tears down what another has built, and what one has established, another undoes. In mathematics alone each generation adds a new storey to the old structure. Quoted in D MacHale, Comic Sections (Dublin 1993) [Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers, but things of thought to which there could correspond effective objects or relations, even though such a correspondence is not necessary. Quoted in M Kline, Mathematical thought from ancient to modern times (New York, 1972). Main index Biographies Index History Topics Societies, honours, etc. ... Anniversaries for the year JOC/EFR February 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Hankel.html

13. Marie Hankel Translate this page hankel, hermann. Die Eulerschen Integrale bei unbeschränkter Variabilität desArguments. Habilitationsschrift Leipzig 1863. hankel, hermann. Untersuchungen http://mitglied.lycos.de/Genealogie_Pabst/EspBiographien/EspBiogr/hankel.htm

Hankel, Marie geb. Dippe (1844-1929) Geburt in Schwerin als Tochter von Hermann Dippe († 1891), Oberlehrer am Fridericianum und späterer Ministerialbeamter Hermann Hankel habilitiert sich (in Leipzig?) über die „Eulersche Integrale bei unbeschränkter Variabilität des Arguments“ Heirat mit dem Mathematikprofessor Hermann Hankel († 1873) Umzug nach Erlangen und Tübingen Geburt der drei Kinder Martin, Margarete und Minna (letztere als Kind gestorben) Tod von Hermann Hankel, Umzug zurück nach Schwerin , wo sie bis zum Umzug zu ihrer Tochter Margarete im Jahre 1905 nach Dresden in der Mühlenstr. 18 wohnt Tod der Mutter Tod des Vaters Hermann Dippe besucht Kurse „Kunstgeschichte für feine Damen“ in Schwerin liest über Esperanto in der Zeitschrift „Die Woche“ besucht Ihren Sohn in Offenbach 1905-Sommer lernt Esperanto in Schwerin . Kontakt mit Prof. Sellin 1905 (vor Nov.) Umzug nach Dresden zur (älteren) Tochter Margarete Gründung der Esperanto-Gruppe Dresden, die im Nov. 1905 zer­fiel. „Nun ruhte bei mir Esperanto fast ein Jahr.“ 1906-Sept.

14. H Index Hamming, Richard W (582*). hankel, hermann (546*). Hardy, Claude (168) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/H.html

Names beginning with H The number of words in the biography is given in brackets. A * indicates that there is a portrait. Haar Hachette , Jean (944*) Hadamard , Jacques (2674*) Hadley , John (191*) Hahn , Hans (138*) , Jaroslav (907*) Haitam , Abu Ali al- (2490*) Hall, Marshall Jr. Hall, Philip Halley , Edmond (2532*) Halmos , Paul (1328*) Halphen , George (872*) Halsted , George (299*) Hamill , Christine (398) Hamilton, William Hamilton, William R Hamming , Richard W (582*) Hankel , Hermann (546*) Hardy, Claude Hardy, G H Harish-Chandra Harriot , Thomas (3306*) Hartley , Brian (466*) Hartree , Douglas (436*) Hasib Abu Kamil al (1012) Hasse , Helmut (1189*) Hau , Lene (1018*) Hausdorff , Felix (345*) Hawking , Stephen (1282*) Hay , Louise (2037*) Hayes , Ellen (1060*) Hazlett , Olive (1345*) Haytham , Abu Ali al (2490*) Heath , Thomas (199*) Heaviside , Oliver (1209*) Heawood , Percy (596*) Hecht , Daniel (117) Hecke , Erich (730*) Hedrick , Earle (501*) Heegaard , Poul (380*) Heilbronn , Hans (2080*) Heine , Eduard (268*) Heisenberg , Werner (2604*) Hellinger , Ernst (1233*) Helly , Eduard (909*) Helmholtz , Hermann von (2214*) Heng , Zhang (228*) Henrici , Olaus (117*) Hensel , Kurt (252*) Heraclides of Pontus (773*) Herbrand , Jacques (376*) , Pierre (148) Hermann , Jakob (267*) Hermann of Reichenau Hermite , Charles (1849*) Heron of Alexandria (2275) Herschel, Caroline

15. 2 The Reception By Ernst Schröder Graßmann 1844) and hermann hankel (18391873, cf. hankel 1867), andon Robert Graßmann's (1815-1901) symbolic logic (Graßmann 1872). http://www.hf.uio.no/filosofi/njpl/vol3no1/algbrlog/node2.html

Next: 3 Conclusion Up: Hugh MacColl and the Previous: 1 Friendly Contests Subsections 2.1 Solution of logical problems 2.2 Calculus of propositions 2.3 Material implication 2 The Reception by Ernst Schröder From the very beginning the learned competition concerning the best system of logic had an international flavor. The knowledge of the new logical systems in Great Britain was carried into the world primarily through the writings of William Stanley Jevons . His Principles of Science ) in particular worked as a catalyst. Furthermore, the effect of Alexander Bain's Logic ) should not be underestimated. It was devoted to John Stuart Mill's inductive logic, but contained a section on Boole's symbolic logic which stimulated the emergence of research on symbolic logic in Poland. It is safe to assume that even MacColl got to know Boole's algebra of logic via Bain's logic. In the second paper on ``The Calculus of Equivalent Statements'' ( ), he quoted Boole according to Bain's presentation. I have shown elsewhere (cf.  Peckhaus 1997 ) that the roots of Schröder's algebra of logic are to be found in the German abstract algebraical conceptions of his time, but not in Boole's

16. © 1998-2001 Sommerfeld-Projekt. Ausgelesen Am 24. Januar 2001 hermann (1870-1961); Edlund, Erik (1819-1888); Faraday, Michael(1791-1867); FitzGerald, Gerald (1851-1901); hankel, hermann (1839-1873 http://www.lrz-muenchen.de/~Sommerfeld/BriefDat/00182.html

Arnold Sommerfeld an Hendrik A. Lorentz, Archiv: Haarlem, RANH (Archiv Editv.nr. 74) Brief (8 Seiten) aus Aachen; Sprache: deutsch, Schrift: lateinisch. Stichworte Personen: Wissenschaft: Reihen: Institution: Start Biographie Projekt Online-Suche

17. Stephen Wolfram: A New Kind Of Science -- Index H on networks, 527, 1045 Handprints purpose of in cave paintings, 1184 Handwritingrandomness in, 1192 hankel, hermann (Germany, 18391873) and generalization in http://www.wolframscience.com/nks/index/h.html

A B C D ... G H I J K L ... Z H H theorem of Boltzmann Haar wavelets Hackers and precursors to my work, 879 and universe as computer, 860 Hadamard, Jacques S. (France, 1865-1963) and chaos theory, 971 and Hadamard matrices, 1073 Hadamard matrices Hadamard order for Walsh functions, 1073 Hadrons as particles, 1043 in QCD, 1061 Hailstone numbers (3n+1 problem) Hair cells in inner ear, 585, 1079 Hair follicles and animal coloration, 1012 Haken, Hermann P. J. (Germany, 1927- ) and reaction-diffusion, 1013 Hales, Stephen (England, 1677-1761) and leaf growth, 1005 Hales, Thomas C. (USA, 1958- ) and sphere packings, 986 Halftoning Halite (rock salt) hopper crystals Halting in aggregation systems, 979 in function definitions, 1163 longest times for, 1144 in one-way TMs, 759, 1143 in register machines, 896 in small Turing machines, 1119 in symbolic systems, 897 in Turing machines, 889 Halting probabilities and algorithmic randomness, 1067 for code 20, 964

18. Stephen Wolfram: A New Kind Of Science -- Index F-j 1958 ) and sphere packings, 986 Hamming, Richard W. (USA, 1915-1998) and error-correctingcodes, 1101 hankel, hermann (Germany, 1839-1873) and generalization http://www.wolframscience.com/nks/index/names/f-j.html

A-E F-J K-O P-S T-Z F-J Fano, Robert M. (USA, 1917- ) and data compression, 1069 Fedorov, Evgraf S. (Russia, 1853-1919) and shapes of 3D domains, 929 Feigenbaum, Mitchell J. (USA, 1944- ) and computer experiments, 899 and iterated maps, 921 in Preface, xiii Fejes Tóth, László (Hungary, 1915- ) and circle packing, 985 Fermat, Pierre de (France, 1601-1665) and Fermat's Last Theorem, 1166 and primes, 909 Fermi, Enrico (Italy/USA, 1901-1954) and computer experiments, 879, 899 and extraterrestrial contact, 1191 and statistical mechanics, 1020 Feynman, Carl R. (USA, 1962- ) and cryptanalysis of rule 30, 1087 in Preface, xiii Feynman, Richard P. (USA, 1918-1988) and cryptanalysis of rule 30, 1087 and discrete quantum models, 1060 and discreteness of space, 1027 and path integrals, 1057 and physics and computation, 1126 in Preface, xii, xiii, xiv Fibonacci, Leonardo (Pisano) (Italy, ~1170 - ~1250) and digital numbers, 902 and Fibonacci numbers, 891

19. Great Mathematicians Jordan, Marie Ennemond, (18381922), France, Topology, Theory of finite groups.hankel, hermann, (1839-1873), Germany, hankel functions and the hankel transform. http://www.sali.freeservers.com/engineering/maths.html

Free Web site hosting - Freeservers.com Home Page About Me Contact Me Photo Gallery 1 Photo Gallery 2 Family Album Engineering Stuff Sports Stuff Tennis Page Favorite People Links Galore Cool Links Kerala Page About Calicut HTML Tutorial Guest Book Home Page Engg. Home CFD Engg. Books ... RECT Faculty The finest mathematicians of all time who had a profound influence in the development of pure and applied mathematics Name Period Country Field of Contribution Descartes, Rene France Invented Analytical Geometry Fermat, Pierre de France Gregory, James Scotland Numerical Interpolation Newton, Isaac England Inventor of Differential and Integral Calculus Leibnitz, Gottfried Wilhem Germany Along with Newton he is also credited for invention of Calculus Raphson, Joseph England Numerical Integration Rolle, Michel France Rolle's Theorem Bernoulli, Jakob Swiss Mathematical Probability and Elasticity L'Hôpital, Guillaume François France L'Hôpital Rule Bernoulli, Johann Swiss Development of Calculus de Moivre, Abraham France Analytic Geometry and Theory of Probability Taylor, Brook

20. Strafgerichte Gegen Menschheitsverbrechen Zum Völkerstrafrecht 50 Jahre Nach De Translate this page Zum Völkerstrafrecht 50 Jahre nach den Nürnberger Prozessen. AutorHankel Gerd Stuby Gerhard. Laux hermann Mit Kindern die http://www.roman-sammlung.de/Hankel-Gerd-Stuby-Gerh-Strafgerichte-gegen-Mensc-39

Strafgerichte gegen Menschheitsverbrechen Zum Völkerstrafrecht 50 Jahre nach den Nürnberger Prozessen Hankel Gerd Stuby Gerhard Titel: Strafgerichte gegen Menschheitsverbrechen. Zum Völkerstrafrecht 50 Jahre nach den Nürnberger Prozessen. Autor: Hankel Gerd Stuby Gerhard Rubrik: Internationales und ausländ. Recht Menschenwürde Nürnberger Prozesse Völkerrecht Kategorie: Kluge Norbert Jugendliche Sex... Laux Hermann Mit Kindern die ... Hollstein Gudrun Lernen im Zo... Rheinland- Pfalz. Beiträg... ... Home

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