41. Great Physicists 1980); Joule, James Prescott (1818 1889); kaluza, theodor FranzEduard (1885 - 1945); Kirchhoff, Gustav Robert (1824 - 1887); Landau http://www.hallym.ac.kr/~physics/reference/physicist/physicist.html

Great Physicists Most of the following materials are from History of Mathematics Archive , St Andrews Univ., UK. For links that don't work, go to the original places above. Newton, Sir Isaac (1643 - 1727) Isaac Newton Another biography of Isaac Newton Newton's Life Yet another biography of Newton Maxwell, James Clerk (1831 - 1879) IEEE The Genius of James Clerk Maxwell Part II The Genius of James Clerk Maxwell Part III ... Franklin, Benjamin : to Franklin Institute Science Museum at Philadelphia Geiger, Hans Gell-Mann, Murray Goudsmit, Samuel Abraham (1902-1978) Halley, Edmond (1656 - 1742) ... Millikan, Robert : Caltech Photo Archive Minkowski, Hermann (1864 - 1909) von Neumann, John (1902 - 1957) here Ohm, Georg Simon (1789 - 1854) ... Noted Figures in Physics, Engineering and Astronomy

42. Kaluza Origin. theodor Franz Eduard kaluza. Born 9 Nov 1885 in Ratibor, Germany(now Raciborz, Poland) Died 19 Jan 1945 in Göttingen, Germany. http://www.hallym.ac.kr/~physics/reference/physicist/Kaluza.html

Origin Theodor Franz Eduard Kaluza Born: 9 Nov 1885 in Ratibor, Germany (now Raciborz, Poland) Died: 19 Jan 1945 in G ttingen, Germany Show birthplace location Previous (Chronologically) Next Biographies Index Previous ( Alphabetically) Next Welcome page Kaluza Einstein and told him about his ideas to unify Einstein 's theory of gravity and Maxwell 's theory of light. Einstein Sitzungsberichte Preussische Akademie der Wissenschaften Kaluza's ideas involved the introduction of a 5th dimension and, although he has been criticised for introducing this as a purely mathematical idea, his work is important and was explored by others. He says in this paper that his theory possessed virtually unsurpassed formal unity ... which could not amount to the mere alluring play of a capricious accident. Kaluza is remembered for this in Kaluza-Klein field theory, which involved field equations in five-dimensional space. References (3 books/articles) Previous (Chronologically) Next Biographies Index Previous ( Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996

43. SLIDE 109 5. kaluza, theodor. sitz. Berlin Preuss. Adad. Wiss. 966, 1921. 6. Klein,O., Z. Phys. 37, 895, 1928. 7. Misner, Thorne and Wheeler. Gravitation. http://www.cheniere.org/books/ferdelance/s109.htm

REFERENCES SLIDE 109. 1. Bass, Robert W., "Self-Sustained Non-Hertzian Longitudinal Wave Oscillations as Rigorous Solutions of Maxwell's Equations for Electromagnetic Radiation." Proceedings, IEEE Tesla Centennial Symposium, 1984, p. 89 - 90. 2. Des, Jack Y., "Scalar Fields: Their Prediction from Classical Electromagnetism and Interpretation from Quantum Mechanics." Proceedings, IEEE Tesla Centennial Symposium, 1984, p. 94 - 98. 3. Blade, Richard A., "Modification of Maxwell's Equations in Free Space to Account for Nonzero Photon Mass and Scalar Electromagnetic Waves." Proceedings, IEEE Tesla Centennial Symposium, 1984, p. 91 - 92. 4. Bearden, T.E., "Tesla's Electromagnetics and its Soviet Weaponization." Proceedings, IEEE Tesla Centennial Symposium, 1984, p. 119 - 138. 5. Kaluza, Theodor. sitz. Berlin Preuss. Adad. Wiss. 966, 1921. 6. Klein, O., Z. Phys. 37, 895, 1928.

44. Superstrings Translate this page theodor kaluza. Em 1919, o matemático alemão-polonês theodor Franz Edward kaluza(1885-1945) propôs que o Universo poderia ter mais do que 4 dimensões http://astro.if.ufrgs.br/univ/string/string.htm

loops ), ou mais recentemente, membranas bidimensionais. Theodor Kaluza a Yoichiro Nambu Holger Nielsen Leonard Susskind, da Universidade de Stanford, Leonard Susskind John Schwarz superstrings loop ), com comprimento de Planck (10 Shing-Tung Yau The Elegant Universe Beyond Einstein Super String Theory Volta: Cosmologia Volta: user = "kepler"; site = "if.ufrgs.br"; document.write(''); document.write('Kepler de Souza Oliveira Filho' + ''); Modificada em 5 mar 2003

45. Kaluza Theory: Part 2 2. theodor kaluza, Zum Unitätsproblem der Physik, Sitzungsberichteder Preussische Akademie der Wissenschaft, (1921) 966972. http://members.aol.com/Mysphyt1/yggdrasil-2/kal2x.htm

Publication copy for YGGDRASIL: The Journal of Paraphysics BEST VIEWED IN HTML 3.0 or above III: Discussion and Criticism Kaluza was able to derive both the trajectories of charged particles and uncharged particles within the framework of the coherent space-time structure of his model. This was done in a simple and straight forward manner. As has been shown, his theory resulted in parametric representations in five-dimensional space which coincide with families of geodesics, each of which depends on different values of the ratio e/m. Previously, this result could not have been obtained in the Riemannian space of General Relativity, but had to be carried out in different Finsler spaces, dependent on the different values of e/m. So, Kaluza's theory was a success in what it attempted to accomplish: the unification of the electromagnetic and gravitational fields. However, the success of Kaluza's theory has been greatly diminished by some serious criticisms of the theory. Due to these criticisms, the theory has not been generally adopted and is still looked upon by many with disfavor. All criticisms of Kaluza's theory deal either directly or indirectly with Klauza's basic assumption of a fifth dimension. Many physicists consider a formalism such as the one used in the theory as artificial since the universe as sensed is four-dimensional. The artificiality appears since Kaluza's five-dimensional assumption is presented only as a mathematical formalism and the fifth coordinate is totally devoid of any physical content. "The success of a language adopted to a five-dimensional manifold is, ..., only a way of concealing the lack of developments truly adaptable to the four-dimensional universe, which remains the true physical universe."

46. Universität Hamburg - Fachbereich 11 Mathematik: Institut Für Geschichte Der N Privatdozenten theodor kaluza Zum Unitaritätsproblem der Physik . http://www.math.uni-hamburg.de/math/ign/kolloq/nfws0102.htm

Fachbereich 11 - Mathematik Wintersemester 2001/02 Neuere Forschungen zur Geschichte der Naturwissenschaften, Mathematik und Technik Montags 18.00 - 19.30 Uhr, Geomatikum (Bundesstr. 55), Gesamt-Programm zum Ausdrucken Andreas Gundelwein (Goslar) Daniela Ladislav Kvasz (Bratislava/Berlin) Zur Interpretation der Physik von Descartes. Vor dem Vortrag um 15.30 Uhr steht im Raum Geom 233 Kaffee und Tee bereit. Vortrag in Zusammenarbeit mit dem Mathematischen Seminar Peter Roquette (Heidelberg) Barbara Dufner (Hamburg) Das Leben und die Arbeit von Bernhard Schmidt - Dem Erfinder des fehlerfreien Weitwinkel-Teleskops. Michael Sip (Hamburg) Anja Wolkenhauer (Hamburg) Kai Sammet (Hamburg) Katrin (Hamburg) Astronomie und Kosmologie im ''Liber Floridus'' (ca. 1120) des Lambert von Saint-Omer: Bilder als Erkenntnismittel. Karsten Gaulke (Stuttgart) ''... ein Gestirn, von der Art eines weit entfernten Brandes ...'': Johannes Kepler und der ''Neue Stern'' von 1604. Armin Wirsching (Hamburg) Karl Heinrich Wiederkehr (Hamburg) Wieland Hintzsche (Halle an der Saale, Frankesche Stiftungen)

47. Theodor Kaluza - Wikipedia, The Free Encyclopedia theodor kaluza Wikipedia NLtheodor kaluza. theodor kaluza (9 november 1885-19 januari 1954) was een Duitswiskundige. Hij werd geboren in Ratibor, tegenwoordig het Poolse Raciborz). http://en.wikipedia.org/wiki/Theodor_Kaluza

Theodor Kaluza From Wikipedia, the free encyclopedia. Theodor Franz Eduard Kaluza November 9 January 19 ) was a German scientist known for the Kaluza-Klein theory involving field equations in five-dimensional space. This article is a stub . You can help Wikipedia by expanding it Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages This page was last modified 22:13, 10 Mar 2004. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

48. 80-year-old Theory May Explain Dark Matter This approach is similar to a promising 1921 theory that failed two German mathematicians theodor kaluza and Oskar Klein when they tried to use a fifth http://www.weeklyscientist.com/ws/articles/fifthforce.htm

80-year-old theory may explain dark matter by MIKE MARTIN, UPI Science Correspondent LAS CRUCES, N.M., July 5 (UPI) Physicists at New Mexico State University here are revisiting a failed 80-year-old theory to explain dark matter, the mysterious, unseen substance many cosmologists believe is causing the universe to expand and accelerate. "We show that a new force, which appeared in a five-dimensional generalization of general relativity, implies precisely the flat circular velocity curves of luminous matter observed in the outer parts of spiral galaxies," physics professor Richard Ingraham and researcher Lowell Cummings claim in a new, as-yet-unpublished paper. Spiral-shaped galaxies rotate in ways that depart from laws governing the velocities of interstellar objects, discovered by German astronomer Johannes Kepler four hundred years ago. Scientists attribute this unusual behavior to invisible dark matter distributed in a halo around the galaxies and exerting gravitational forces that distort the predicted velocity. Instead of dark matter, Ingraham and Cummings rely on a force that arises in an unseen 5th dimension. This approach is similar to a promising 1921 theory that failed two German mathematicians Theodor Kaluza and Oskar Klein when they tried to use a fifth spatial dimension length, width, height, and time are the other four to unify electromagnetism and gravity into a single force.

49. Unification In Physics However this was, and still is, a nontrivial paradigm shift. The man widely creditedwith making the leap was theodor kaluza. theodor kaluza (1885-1945). http://www.tech.port.ac.uk/staffweb/seahras/neat_physics/extra_dimensions/gravit

Contents Introduction 4th Dimension (1) 4th Dimension (2) ... Sources Dimensionality and the unification of gravity and electromagnetism Gravity manifests itself as the curvature of spacetime induced by massive objects: Electromagnetism is realized by lines of force on the spacetime manifold induced by charged objects: Kaluza postulated that both effects could be understood in terms of the same 5-dimensional geometric framework. Theodor Kaluza (1885-1945) In 1919, Kaluza sent Albert Einstein a preprint - later published in 1921 - that considered the extension of general relativity to five dimensions. He assumed that the 5-dimensional field equations were simply the higher-dimensional version of the vacuum Einstein equation, and that all the metric components were independent of the fifth coordinate. The later assumption came to be known as the cylinder condition . This resulted in something remarkable: the fifteen higher-dimension field equations naturally broke into a set of ten formulae governing a tensor field representing gravity, four describing a vector field representing electromagnetism, and one wave equation for a scalar field. Furthermore, if the scalar field was constant, the vector field equations were just Maxwell's equations

50. Explanation Of Hyperspace In A Simplified Form In 1919, theodor kaluza, building upon relativity, made an astounding discoverylight and gravity can be unified and expressed with identical mathematics. http://fimenet.8m.com/hyperspace.htm

Explanation of Hyperspace in a Simplified Form Courtesy of Brown University Hyperspace Theory (also called Superstring or Supergravity Theory ) begins with Einstein's General Relativity . In 1919, Theodor Kaluza , building upon relativity, made an astounding discovery: light and gravity can be unified and expressed with identical mathematics. This was the beginning of the unification of all physical laws, which is the ultimate goal of physics. There was only one catch. He needed an extra dimension. This fifth dimension , long recognized as mathematically plausible, had never before been seriously proposed as an actual component of reality. The usefulness of his theory was hard to deny; in five dimensions, there is "enough room" to accomplish the unification of gravity and light, which simply cannot be accomplished when trapped in four dimensional spacetime. There is an obvious question to be asked at this point. "Where is the fifth dimension?" Kaluza's answer is clever, though suspiciously hard to test. He said that the fifth dimension is too small to see. The fifth dimension is contiguous with our four, but it is curled up, while the others are extended. To understand curled-up dimensions, imagine an ant living on a string (or a Linelander). For all its life, it is only aware of two directions: forward and backward. It lives in a one-dimensional universe. However, if you examine the string very closely, you find that it has a circumference; an extra dimension, curled up and wrapped back onto itself into a circle. If you could stretch this dimension, that is, make the circumference very large, the ant would be living on the two-dimensional surface of a cylinder. But when it's curled up, it effectively is undetectable by the ant, though it may serve as a medium for vibrations or other physical effects.

51. ThinkQuest : Library : CosmoNet In 1919, the obscure Polish mathematician theodor kaluza of the University ofKönigsberg suggested that the universe might somehow have more than three http://library.thinkquest.org/27930/stringtheory4.htm

Index Astronomy Stars CosmoNet Visit Site 1999 ThinkQuest Internet Challenge Languages English Students Kate Dighton-Rehoboth Regional High School, North Dighton, MA, United States Daniel James Madison Memorial HS, Madison, WI, United States Patrick Yorktown High School, Arlington, VA, United States Coaches Joseph Dighton-Rehoboth Regional High School, Taunton, MA, United States 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

52. Astronomy Interactive Network - Physics conbination called spacetime. In 1919 theodor Franz Eduard kaluza proposedthat a fifth dimension should be added. This would give a http://library.thinkquest.org/15418/cgi-bin/pageserv/srv.cgi?Section=physics&Sub

53. Das Virtuelle Bücherregal NRW 6.649.422 kaluza, Stephan 13.094.697 kaluza, theodor Physiker 12.916.867 http://kirke.hbz-nrw.de/dcb/Schlagwoerter/1047.html

Ein freundliches Angebot des Hochschulbibliothekszentrums des Landes Nordrhein-Westfalen Projekt 'Virtuelle Kataloge / Innovative Verfahren' Welche Ziele verfolgt das Projekt? Root-Seite Navigation: Prev Up Next Kalltalgemeinschaft Kallusdistraktion Kalma, Douwe Kalman, Rudolf E. Kalman-Bucy-Filter Kalman-Filter Kalmar, Annie Kalmarer Union Kalmarsund KalniÐnÏs, BrÅuno Kalocsa Kalokagathia Kalopheros, Johannes Laskaris Kalorienbedarf Kalorimeter Kalorimetrie Kalorischer Nystagmus Kaltarbeitsstahl Kaltband Kaltblut Kaltdach Kalte Kernfusion Kalte Neutronenquelle Kaltefleiter, Werner Kaltenbrunner, Ernst Kaltenecker, Gertraud Kaltenengers Kaltenkirchen Kalter Knoten Kalterherberg Kaltes Herz Kaltes Neutron Kaltes Plasma Kaltfront Kaltgasmaschine Kaltgezogener Draht Kaltkammermaschine Kaltkanalverteiler Kaltleiter Kaltlufteinbruch Kaltluftprozess Kaltmassivumformen Kaltnadelarbeit Kaltprofil Kaltriss Kaltstart Kaltstauchen Kaltsterilisation Kaltumformen Kaltverfestigung Kaltwalzen Kaltwalzwerk Kaltwasserfische Kaltwasserheilanstalt Kaluli Kaluraz Kaluszyn Kaluza, Stephan

54. A Timeline Of Mathematics And Theoretical Physics 1921, theodor kaluza follows Einstein s advice and publishes his highly unorthodoxideas about unifying gravity with electromagnetism by adding an extra http://superstringtheory.com/history/history3.html

The Official String Theory Web Site History before 1800 / 1900 until today) Max Planck makes his quantum hypothesis that energy is carried by indistinguishable units called quanta , rather than flowing in a pure continuum. This hypothesis leads to a successful derivation of the black body radiation law, now called Planck's Law, although in 1901 the quantum hypothesis as yet had no experimental support. The unit of quantum action is now called Planck's constant. Swiss patent clerk Albert Einstein proposes Planck's quantum hypothesis as the physics underlying the photoelectric effect. Planck wins the Nobel Prize in 1918, and Einstein in 1921, for developing quantum theory, one of the two most important developments in 20th century physics. Einstein publishes his simple, elegant Special Theory of Relativity, making mincemeat of his competition by relying on only two ideas: 1. The laws of physics are the same in all inertial frames, and 2. The speed of light is the same for all inertial observers. Minkowski publishes Raum und Zeit (Space and Time), and establishes the idea of a spacetime continuum

55. PhysicsWeb - The Search For Extra Dimensions In the 1920s Maxwell s unification of electricity and magnetism, together with Einstein snew general theory of relativity, inspired theodor kaluza and Oskar http://physicsweb.org/article/world/13/11/9

Advanced site search physics world January February March April May June July August September October November December Latest issue Subscribe to Physics World Media Information ... Editorial Staff quick search Search Physics World Previous Physics World November 2000 Next Next page The search for extra dimensions Feature: November 2000 The idea that the universe is trapped on a membrane in some high-dimensional space-time may explain why gravity is so weak, and could be tested at high-energy particle accelerators. The possibility of extra dimensions, beyond the three dimensions of space of our everyday experience, sometimes crops up as a convenient, if rather vague, plot in science fiction. In science, however, the idea of extra dimensions has a rich history, dating back at least as far as the 1920s. Recently there has been a remarkable renaissance in this area due to the work of a number of theoretical physicists. It now seems possible that we, the Earth and, indeed, the entire visible universe are stuck on a membrane in a higher-dimensional space, like dust particles that are trapped on a soap bubble. In this article we look at the major issues behind this new development. Why, for example, don't we see these extra dimensions? If they exist, how can we detect them? And perhaps the trickiest question of all: how did this fanciful idea come to be considered in the first place?

56. NEWTONS ABSOLUTER RAUM Translate this page 1921 machte der polnische Mathematiker theodor kaluza einen weiteren Vorstoß,indem er eine zusätzliche vierte Raumdimension postulierte und so Einsteins http://www.fh-furtwangen.de/~webers/membgerm.htm

Index Site: http://www.fh-furtwangen.de/~webers/index.htm Kosmische Membran – STEFAN VON WEBER The paper uses Gamovs model of the expanding cosmos, which seems to be well suitable to show pupils how gravitation and curvature of space act together. The proposed cosmic membrane model of gravitation is of type Kaluza-Klein with non-compactified fourth spatial dimension and delivers Newton’s law of gravitation in a direct way. From the point of view of the choosen model the General Relativity is a projection of the 4-dimensional space into the 4-dimensional spacetime. Key words: Kaluza-Klein, membrane, gravitation, relativity G g M M /r und M Abb. 1. Expandierender Kosmos . Die erste Differentiation ergibt z‘=±(r/z), die zweite Differentiation z"=±((1/z)-(r²/z R steht. Wir gewinnen R , indem wir uns einen Zylinder mit Radius R . Abbildung 4 zeigt diesen Zylinder. Abb. 3. Schmiegekreis R im Punkt P Abb. 4. Zylinder am Punkt P Wie erhalten wir den Wert von R und r(P). Die kleine Halbachse der Schnittellipse ist B=R , der Hypothenuse A und dem Winkel a =arctan (z‘). z‘ ist hier der Anstieg der Membran im Punkt P und damit gleichzeitig die Neigung der Zylinderachse. Wir formen sin(

57. Encyclopedia: Theodor Kaluza Table Of Contents Translate this page ARTICLE, kaluza jr., theodor Struktur- und Mächtigkeitsuntersuchungen an gewissenunendlichen Graphen mit einigen Anwendungen auf lineare Punktmengen, 235. . http://www.nationmaster.com/encyclopedia/Theodor-Kaluza

Supporter Benefits Signup Login Sources ... Pies Factoid #47 On the probability of not reaching 40 graph, the top 34 countries are all African Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: , Encyclopedia : Theodor Kaluza Sorry, no entry exists for this yet. The Wikipedia article included on this page is licensed under the GFDL Usage implies agreement with terms

58. Queremos Saber - Física - UFC - Perguntas Respondidas Translate this page theodor kaluza (1885-1954) e Oscar Klein (1894-1977) formularam uma teoria interessanteonde o acréscimo de mais uma dimensão, totalizando 5 dimenções http://www.fisica.ufc.br/qsaber/respostas/qr0741.htm

Pergunta respondida. Pergunta: Como a dimensão proposta por Kaluza e Klein interage com as dimensões com as quais temos contato costumeiramente (as 3 do espaço e o tempo)? Pergunta de: Halex Resposta: Resposta de: Rodrigo Eder Lubiana Forrequi - Espírito Santo Se quiser comentar essas respostas para elogiar, criticar ou apontar algum engano, use o endereço eletrônico abaixo, citando o número da pergunta ou reproduzindo seu enunciado.

59. Search For Extra Dimensions Using Missing Energy At CDF In the beggining of the 20th century Gunnar Nordstrom, theodor kaluza and OscarKlein independently proposed an extension of Einstein s newly invented theory http://www-cdf.fnal.gov/PES/kkgrav/kkgrav.html

Search for Extra Dimensions using Missing Energy at CDF From the th dimension of the 1920's to the n th dimension of 2000 Figure 1 A couple of years ago Nima Arkani-Hamed, Savas Dimopoulos and Gia Dvali [2] worked through the same idea. Namely that there can be more than 3 spatial dimensions and the extra dimensions can be curled up and thus compactified around circles (Figure 1) so that we cannot feel them and the compactification radius size is small enough that we have not measured them. The authors pointed out that we had not measured the gravitational force law at distances less than a millimeter (at that time). Thus if there were extra curled up dimensions that only affected gravity, they could be as large as a millimeter! When we read their paper in Nov 98, a bunch of us experimentalists were stunned by the fact that there might be extra-dimensions-induced modifications of gravity competing with Van-der-Waals and Casimir forces at the sub-millimeter scale. The world we are able to see and measure today is confined on a 4 dimensional wall. Gravity exists in a 4+ n "bulk" where

60. Dissertationen In Mathematik, 1907-1944 Translate this page M, kaluza, theodor, Die Tschirnhaustransformation algebraischer Gleichungenmit einer Unbekannten, Königsberg, 17.08.1907, Algebra, Gleichungstheorie, http://www.mathematik.uni-bielefeld.de/DMV/archiv/dissertationen/

Dissertationen in Mathematik, WS1907/08-WS1944/45 Renate Tobies, Kaiserslautern tobies@mathematik.uni-kl.de G Verfasser Titel Univers./TH Datum Gebiet Untergebiet Publiziert in Zeitschrift Land W Noether, Emmy Erlangen Algebra Invariantentheorie Crelle Journal, Bd.134 M Hellinger, Ernst Die Orthogonal invarianten quadratischer Formen von unendlich vielen Variablen Algebra Invariantentheorie M Cairns, William De Weese Die Anwendung der Integralgleichungen auf die zweite Variation bei isoperimetrischen Problemen Analysis Theorie der Integralgleichungen USA M Brandes, Hans Halle Grundlagen Axiomatik M Morgenstern, Arthur Halle Anwendungen Numerische Methoden M Kaluza, Theodor Die Tschirnhaustransformation algebraischer Gleichungen mit einer Unbekannten Algebra Gleichungstheorie M Cramer, Friedrich Hans die Erniedrigung des Geschlechtes Abelscher Integrale, insbesondere elliptischer und hyperelliptischer, durch Transformation Analysis Integralrechnung M Reiff, Wilhelm Rollen einer Kugel in einem Zylinder ohne Einwirkung der Schwerkraft Anwendungen Mechanik M Geometrie Algebraische Geometrie Listen der Jahre 1908-1945 Deutsche Mathematiker-Vereinigung

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