1. Hankel 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 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. Hermann Hankel Hermann Hankel. Born Germany. Hermann Hankel s father was Wilhelm GottliebHankel who was a physicist at Halle at the time Hermann was born. http://umm.kou.edu.tr/math/Hermann Hankel .htm

Hermann Hankel Born: 14 Feb 1839 in Halle Germany Died: 29 Aug 1873 in Schramberg (near Tübingen), Germany 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 Möbius and physics with his own father. Following the tradition in Germany at that time Hankel did not complete his studies at one university, but moved to several different universities during the course of his studies. From Leipzig he went to Göttingen in 1860 where he became a student of 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.

3. Hankel Hermann Hankel. Born Hermann Hankel studied with Möbius, then withWeierstrass and Kronecker and became a student of Riemann. He http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Hnkl.htm

Hermann Hankel Born: 14 Feb 1839 in Halle, Germany Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Hermann Hankel studied with , then with Weierstrass and Kronecker and became a student of Riemann . He worked on the theory of complex numbers, the theory of functions and the history of mathematics. Hankel wrote an important work which was published in 1873 Theorie der complexen Zahlensysteme which did much to make Grassmann 's ideas better known. He is remembered for the Hankel transformation which occurs in the study of functions which depend only on the distance from the origin. He also studied functions, now named Hankel functions or Bessel functions of the third kind. References (4 books/articles) A quotation by Hermann Hankel Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Hankel.html

4. Hankel The mathematician who developed hankel functions and the hankel transform. 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 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

5. 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/References/Hankel.html

6. Hankel, Hermann (1839-1873) -- From Eric Weisstein's World Of Scientific Biograp Nationality , German v. hankel, hermann (18391873), German mathematicianwho advocated an intellectual mathematics detached from all perceptions. 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)

7. 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

Please consider contributing or extending the following entries. For more information about making contributions, see the page on contributing . Please send contributions to scienceworld@wolfram.com Abbe, Ernst (1840-1905) Adams, John Couch (1819-1892) Aepinus, Franz (1724-1802) ... Zwicky, Fritz (1898-1974)

8. 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.

9. Biografia De Hankel, Hermann Translate this page hankel, hermann. (Halle, 1839-Schramberg, 1873) Matemático alemán.Sus trabajos versaron sobre geometría proyectiva y sobre la http://www.biografiasyvidas.com/biografia/h/hankel.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces Hankel, Hermann (Halle, 1839-Schramberg, 1873) Matemático alemán. Sus trabajos versaron sobre geometría proyectiva y sobre la teoría de funciones de variable compleja. Estableció una representación de la función gamma por medio de una integral compleja y obtuvo soluciones a la ecuación diferencial de Bessel. Inicio Buscador Recomendar sitio

10. The Mathematics Genealogy Project - Hermann Hankel hermann hankel Biography Dr. phil. Universität Leipzig 1861. According to ourcurrent online database, hermann hankel has 1 students and 1 descendants. http://www.genealogy.ams.org/html/id.phtml?id=34188

11. The Mathematics Genealogy Project - Index Of HAN 1984. HankeBourgeois, Martin, Universität Fridericiana zu Karlsruhe,1994. hankel, hermann, Universität Leipzig, 1861. hankel, Wilhelm, http://www.genealogy.ams.org/html/letter.phtml?letter=HAN

12. Bibliography 1992. A note on ``The Educational Times and ``Mathematical Questions .Historia Mathematica, vol. 19, pp. 7678. hankel, hermann. 1867. 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).

13. Hermann Hankel The mathematicianwho developed hankel functions and the hankel transform. Category People....... Home Detailed Information. Name hermann hankel http://www.science-search.org/index/Physics/Mathematical_Physics/People/28720.ht

Search in Science-Search.org for: What's new Top Searches Statistics Science News ... Home : Detailed Information Name: Hermann Hankel Description: The mathematician who developed Hankel functions and the Hankel transform. Category: People Url: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hankel.html Date: Current Rating: Clicks/Hits Received: Rate this web site: Rating: Votes: Web site owner: Allow people to rate your site on your site Modify your link Something wrong with this resource? Report this link as broken About Us Contact Us Site Guide ... Add Science Search to Your Web Site The Science Search Directory is based on DMOZ. Science Search has modified and enhanced this data. Submitting to DMOZ: Help build the largest human-edited directory on the web. Submit a Site Open Directory Project Become an Editor Science Search's Sponsors: Goom NL

14. Science Search > People 6.00 Votes 2073. 8. hermann hankel The mathematician who developedhankel functions and the hankel transform. http//wwwgroups http://www.science-search.org/index/Physics/Mathematical_Physics/People/

Search for: Current Category Everything What's new Top Searches Statistics Science News ... Home Current location: Physics Mathematical Physics > People Gustav Jacobi The mathematician whose work with coordinate transformations is still common in mathematical physics http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Jacobi.html detailed information Rating: [7.00] Votes: [1662] Jean Fourier A short biography on the man who invented the Fourier series and transforms. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Fourier.html detailed information Rating: [7.00] Votes: [1632] Joseph Liouville The mathematician who developed Sturm-Liouville differential equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Liouville.html detailed information Rating: [7.00] Votes: [654] Charles-Francois Sturm A biography of the Mathematican who worked on differential equations and created the form now call Sturm-Liouville equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sturm.html

15. 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.

16. Hankel Matrix hankel matrices have been named after hermann hankel (18391873), a german mathematician,who studied and worked with, among others, M?ius, Riemann, Kronecker http://www.fact-index.com/h/ha/hankel_matrix.html

Main Page See live article Alphabetical index Hankel matrix In linear algebra , a Hankel matrix is a square matrix with constant (positive sloping) skew-diagonals, i.e; In mathematical terms: The Hankel matrix is closely related to the Toeplitz matrix (a Hankel matrix is an upside-down Toeplitz matrix). Hankel matrices have been named after Hermann Hankel (1839-1873), a german mathematician, who studied and worked with, among others, Möbius Riemann Weierstrass and Kronecker This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

17. Cornell Univeristy Mathematics Library Variables ,1902, 124. hankel, hermann, Elemente der ProjectivischenGeometrie in Synthetischer Behandlung ,1875, 268. Hanus, Paul Henry, http://www.library.cornell.edu/math/reformatghi.php

Catalog Library Gateway Articles Databases ... EMPSL Reformatted Books: G H I Available for purchase from the Mathematics Library G [On to H] [Back to Top] Author Title # of images Galle, Andreas Wilhelm Gottfried "Mathematische Instrumente",1912 Galois, Evariste "Sochineniia", 1936 Gazzaniga, Paolo "Gli Elementi della Teoria dei Numeri",1903 Genocchi, Angelo "Differentialrechnung und Grundz_uge der Integralrechnung",1899 Gevrey, Maurice "Sur les Equations aux Derivees Partielles du Type Parabolique",1913 Geyger, Erich "Lehrbuch der Darstellenden Geometrie fur den Gebrauch an Technischen Hochschulen",1906 Gibb, David "Course in interpolation and numerical integration for the mathematical laboratory",1915 Giraud, Georges "Sur une Classe de Groupes Discontinus de Transformations Birationnelles Quadratiques...",1915 Glenn, Oliver Edmunds "Treatise on the Theory of Invariants",1915 Godefroy, Maurice

18. Annotated Bibliography On Analysis -- §2: Ancient Conceptions Of Analysis: A Su hankel, hermann, 1874, Zur Geschichte der Mathematik in Alterthum und Mittelalter,Leipzig BG Teubner 13750 transformation and resolution in analysis; http://plato.stanford.edu/entries/analysis/bib2.html

Stanford Encyclopedia of Philosophy Supplement to Analysis Annotated Bibliography on Analysis This bibliography is intended as a reference guide to the key works that deal, in whole or in part, with analysis and related topics such as analyticity and definition. Cross-references are by name(s) of author(s) or editor(s) and either year of publication or abbreviation as indicated immediately after their name(s). Notes in square brackets at the end of an entry indicate the relevant part(s) of the work and/or its significance to the topic of analysis. This section of the bibliography corresponds to Section 2 of the main entry, and is divided into subsections which correspond to the subsections of the supplementary document on Ancient Conceptions of Analysis . Where works include important material under more than one heading, they are cited under each heading; but duplication has been kept to a minimum. Cross-references to other (sub)sections are provided in curly brackets. 2.1 General 2.2 Ancient Greek Geometrical Analysis 2.3 Plato 2.4 Aristotle ... Annotated Bibliography on Analysis: Full List of Sections 2.1 General Barnes, Jonathan, 1990

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 Web Hosting - GlobalServers.com Choose an ISP NetZero High Speed Internet ... Dial up $14.95 or NetZero Internet Service $9.95 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 ... NITT 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

20. PhysicsSeek.com - Site Profile For Hermann Hankel The mathematicianwho developed hankel functions and the hankel transform....... hermann hankel Site Profile. Title hermann hankel. http://www.physicsseek.com/profiles/1214.php

@import url(http://www.animationseek.com/style.css); Search Directory Forum Hermann Hankel Site Profile Title: Hermann Hankel Description: The mathematician who developed Hankel functions and the Hankel transform. Url: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hankel.html Category: Science/Physics/Mathematical_Physics/People Add / Update Url Become an Editor Link to Us ... PhysicsSeek.com - Physics Search Engine - Seeking sites about Acoustics,Alternative,Astronomy,Astrophysics,Atmospheric,Biophysics,Classical Mechanics,Computational,Condensed,Matter,Cosmology,Crystallography,Electromagnetism,Energy,Fluid Mechanics,Dynamics,Geophysics,. SocialScienceSeek.com TechnologySeek.net BaseballSeek.com BasketballSeek.net ... MotorsportSeek.com

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