Jesper Lützen
Assistant Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
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17th century arguments for the impossibility of the indefinite and the definite circle quadrature
Lützen, Jesper, 2014, In: Revue d'histoire des Mathematiques. 20, 2, p. 211-251Research output: Contribution to journal › Journal article › Research › peer-review
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A Brief History of Numbers by Leo Corry
Lützen, Jesper, 2017, In: Mathematical Intelligencer. 39, 3, p. 87-90Research output: Contribution to journal › Literature review › Research › peer-review
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A Matter of Matter or a Matter of Space? Heinrich Hertz's Image of Mass in his Prinzipien der Mechanik
Lützen, Jesper, 1999, In: Archives Internationales d'Histoire des Sciences. 49, 1, p. 103-121Research output: Contribution to journal › Journal article › Research › peer-review
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A Mechanical Image: Heinrich Hertz's Principles of Mechanics
Lützen, Jesper, 2006, Interactions: Mathematics, Physics and Philosophy, 1860-1930. Lützen, J., Hendricks, V. F., Jørgensen, K. F. & Pedersen, S. A. (eds.). Dordrecht: Springer, p. 45-63 18 p. (Boston Studies in the Philosophy of Science; No. 251).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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A Question of Fundamental Methodology: Reply to Mikhail Katz and His Coauthors
Archibald, T., Arthur, R. T. W., Ferraro, G., Gray, J., Jesseph, D., Lützen, Jesper, Panza, M., Rabouin, D. & Schubring, G., 2022, In: The Mathematical Intelligencer. 44, 4, p. 360–363Research output: Contribution to journal › Comment/debate › Research
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A Scientific Duo: Reflections on the Interplay between Mathematics and Physics
Lützen, Jesper, 2006, In: EMS Newsletter. 60, p. 23-27Research output: Contribution to journal › Journal article › Research › peer-review
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A history of mathematical impossibility
Lützen, Jesper, 2023, Oxford University Press. 284 p.Research output: Book/Report › Book › Research › peer-review
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Arround Caspar Wessel and the Geometric Representation of Complex Numbers. Proceedings of the Wessel and the Geometric Representation of Complex Numbers
Lützen, Jesper, 2001, Proceedings of the Wessel Symposium at the Royal Danish Academy of Sciences and Letters, Copenhagen, August 11-15 1998. Matem.. Copenhagen: The Royal Danish Academy of Sciences and Letters, p. 293Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Aventures de l’analyse de Fermat à Borel. Mélanges en l’honneur de Christian Gilain Edited by Susanne Féry. Histoires de géométries. Nancy (Presses Universitaires de Nancy, Editions Universitaires de Lorraine). 2012. ISBN 9 782814 301252. 728 pp. 3
Lützen, Jesper, May 2015, In: Historia Mathematica. 42, 2, p. 230-233Research output: Contribution to journal › Literature review › Research
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BOOK REVIEW: The Impossibility of Squaring the Circle in the 17th Century. A Debate Among Gregory, Huygens and Leibniz, Davide Crippa, Birkhäuser (2019), viii+184 pp.
Lützen, Jesper, 2020, In: Historia Mathematica. 52, p. 99-103 5 p.Research output: Contribution to journal › Literature review › Research
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Between Rigor and Applications. Developments in the Concept of Function in Mathematical Analysis
Lützen, Jesper, 2003, Between Rigor and Applications. Developments in the Concept of Function in Mathematical Analysis. 5:The Modern Phys. and Math. Sciences ed. Cambridge: Cambridge University Press, p. 468-487Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research
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Called Too Soon by Flames Afar: Niels Henrik Abel and his Times
Lützen, Jesper, 2002, In: Abstracts of Papers Presented to the American Mathematical Society. 49, p. 795-799Research output: Contribution to journal › Review › Research
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Charles François Sturm and Differential Equations
Lützen, Jesper & Mingarelli, A., 2008, Collected Works of Charles François Sturm. Pont, J-C. (ed.). Basel: Birkhäuser Verlag, p. 25-47Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Conflicting Tendencies in the Historigraphy of Mathematics: M. Cantor and H.G. Zeuthen
Lützen, Jesper, 1994, The History of Modern Mathematics, vol III. San Diego, USA: Academic Press, Vol. 3. p. 1-42Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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De fysiske og matematiske videnskaber
Kragh, Helge Stjernholm, Lützen, Jesper & Birkedal, L., Nov 2017, Et Jubilæumsskrift: Det Kongelige Danske Videnskabernes Selskab 1742-2027 . København: Det Kongelige Danske Videnskabernes Selskab, p. 201-221Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Communication
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Den moderne matematik
Lützen, Jesper, Nov 2017, Det Kongelige Danske Videnskabernes Selskab 1742-2017. Et jubilæumsskrift. Nielsen, M. A. (ed.). København: Det Kongelige Danske Videnskabernes Selskab, p. 204-208Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Communication
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Dirichlet and the flexibility of the concept of function
Lützen, Jesper, 2006, The Way Through Science and Philosophy: Essays in Honor of Stig Andur Pedersen. Andersen, H. B., Christiansen, F. V., Jørgensen, K. F. & Hendricks, V. F. (eds.). U.K.: King's College Publications, p. 51-64Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Diskrete Matematiske Metoder
Lützen, Jesper, 2010, København. 248 p.Research output: Book/Report › Book › Education
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En videnskabelig duo: Matematikkens samspil med fysik 1809-1950
Lützen, Jesper, 2005, In: mat Matilde. 22, p. 18-20Research output: Contribution to journal › Journal article › Research › peer-review
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Entretien avec Jesper Lützen: Une invitation à étudier les travaux de Liouville
Lützen, Jesper, 2010, In: SABIX. Bulletin de la Société des Amis de la Bibliothèque et de l'Histoire de l'École polytechnique. 45, p. 23 - 26Research output: Contribution to journal › Journal article › Communication
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Er matematiske umulighedssætninger noget særligt?
Lützen, Jesper, 2008, Filosofiske Studier: Festskrift tilegnet Docent dr.phil Carl Henrik Koch. Collin, F. & Flor, J. R. (eds.). København: Museum Tusculanum, Vol. 24. p. 251-266Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Examples and Reflections on the Interplay between Mathematics and Physics in the 19th and 20th century
Lützen, Jesper, 2011, Mathematics meets Physics: A contribution to their interaction in the 19th and the first half of the 20th century. Schlote, K-H. & Schneider, M. (eds.). Frankfurt am Main, p. 17-41 25 p.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Fakultære Højdepunkter. Episoder fra Det naturvidenskabelige Fakultets 150-årige historie
Lützen, Jesper (ed.), 2000, København: Museum Tusculanum. 160 p.Research output: Book/Report › Book › Research
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From Analytic to Algebraic Methods. Liouville's Approach to Integration in Finite Terms
Lützen, Jesper, 1994, In: NTM. 2, p. 77-87Research output: Contribution to journal › Journal article › Research › peer-review
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From Nancy to Copenhagen to the World: The internationalization of Laurent Schwartz and his theory of distributions
Barany, M. J., Paumier, A. & Lützen, Jesper, Nov 2017, In: Historia Mathematica. 44, 4, p. 367-394Research output: Contribution to journal › Journal article › Research › peer-review
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Geometri og Ølkrus
Lützen, Jesper, 2001, Matematikken og Verden. København: Fremad, p. 99-126Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Geometrizing configurations. Heinrich Hertz and his mathematical precursors
Lützen, Jesper, 1999, The Symbolic Universe. Geometry and Physics 1890-1930. Oxford: Oxford University Press, p. 25-46Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Grundlagen der Analysis
Lützen, Jesper, 1999, Geschichte der Analysis, Book with several authors.. Heidelberg, Berlin: Spektrum Akademischer Verlag, p. 191-244Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Heinrich Hertz and the geometryisation of mechanics
Lützen, Jesper, 1998, Heinrich Hertz: Classical Physicist, Modern Philosopher. Nordmann, A. E. ., Baird, D. & Hughes, R. I. (eds.). U.K.: Springer, p. 103-121 (Boston Studies in the Philosophy of Science, Vol. 198).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Heinrich Hertz, Posthumous book on Mechanics (1894)
Lützen, Jesper, 2005, Landmark Writings in Western Mathematics 1640-1940. Grattan-Guinness, I. (ed.). Amsterdam: Elsevier, p. 677-689Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Hjelmslev's geometry of reality
Lützen, Jesper, 2021, In: Historia Mathematica. 54, p. 95-116Research output: Contribution to journal › Journal article › Research › peer-review
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Hjelmslev’s Model celebrating Juel’s Synthetic Theory of Surfaces
Lützen, Jesper, 2021, In: Mathematische Semesterberichte. 68, p. 17-26Research output: Contribution to journal › Journal article › Research › peer-review
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How mathematical impossibility changed welfare economics: A history of Arrow's impossibility theorem
Lützen, Jesper, 2019, In: Historia Mathematica. 46, p. 56-87 32 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Images and Conventions: Kantianism, empiricism, and conventionalism in Hertz's and Poincaré's philosophies of space and mechanics
Lützen, Jesper, 2007, The Kantian Legacy in Nineteenth-Century Science. Cambridge Massachussetts: MIT Press, p. 315-330 16 p.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Integral Equations
Lützen, Jesper, 1994, Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. London, New York: Routledge, Vol. 1. p. 385-394Research output: Chapter in Book/Report/Conference proceeding › Encyclopedia chapter › Research
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Interactions: Mathematics, Physics and Philosophy, 1860-1930
Hendricks, Vincent F. (ed.), Pedersen, S. A. (ed.), Jørgensen, K. F. (ed.) & Lützen, Jesper (ed.), 23 Nov 2010, Paperback ed. Dordrecht: Springer Science+Business Media. 338 p.Research output: Book/Report › Anthology › Research › peer-review
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Interactions: Mathematics, Physics and Philosophy, 1860-1930
Hendricks, Vincent F. (ed.), Jørgensen, K. F. (ed.), Lützen, Jesper (ed.) & Pedersen, S. A. (ed.), 2006, Dordrecht: Springer Science+Business Media. 340 p. (Boston Studies in the Philosophy of Science, Vol. 251).Research output: Book/Report › Anthology › Research › peer-review
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Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics
Kjeldsen, Tinne Hoff & Lützen, Jesper, 2015, In: Science & Education. 24, 5, p. 543-559Research output: Contribution to journal › Journal article › Research › peer-review
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Interactions between mechanics and differential geometry in the 19th century
Lützen, Jesper, 1995, In: Archive for History of Exact Sciences. 49, p. 1-72Research output: Contribution to journal › Journal article › Research › peer-review
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International Participation in Liouville's Journal de mathématiques puret et appliquées
Lützen, Jesper, 2002, Mathemaics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945.. Providence, R.I.: American Mathematical Society, p. 89-104Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Introduction
Hendricks, Vincent F., Jørgensen, K. F., Lützen, Jesper & Pedersen, S. A., 2006, Interactions: Mathematics, Physics and Philosophy, 1860-1930. Hendricks, V. F., Jørgensen, K. F., Lützen, J. & Pedersen, S. A. (eds.). Dordrecht: Springer Science+Business Media, p. ix-x 2 p. (Boston Studies in the Philosophy and History of Science, Vol. 251).Research output: Chapter in Book/Report/Conference proceeding › Preface/postscript › Research
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Introduction: In Honour of Kirsti Andersen
Lützen, Jesper & Sørensen, H. K., 2010, In: Centaurus (Copenhagen). 52, 1, p. 1-3Research output: Contribution to journal › Editorial › Research
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Joseph Liouville
Lützen, Jesper, 2008, The Princeton Companion to Mathematics. Gowers, T. (ed.). Princeton, Oxford: Princeton University Press, p. 766 1 p.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Communication
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Joseph Liouville on spectral theory of integral operators
Lützen, Jesper, 1997, In: Annales des Ponts et Chaussees. 82, p. 36-41Research output: Contribution to journal › Journal article › Research › peer-review
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Joseph Liouville und die nach ihm benannten Sätze
Lützen, Jesper, 1989, In: NTM. 26, p. 5-17Research output: Contribution to journal › Journal article › Research › peer-review
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Joseph Liouvilles kendte og ukendte bidrag til den rene og anvendte matematik
Lützen, Jesper, 1993, In: Normat - Nordisk Matematisk Tidsskrift. 41, p. 1-14Research output: Contribution to journal › Journal article › Research › peer-review
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Julius Petersen 1839-1910. A Biography
Lützen, Jesper, Sabidussi, G. & Toft, B., 1992, In: Discrete Mathematics. 100, p. 9-82Research output: Contribution to journal › Journal article › Research › peer-review
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Julius Petersen, Karl Weierstrass, Hermann Amandus Schwarz and Richard Dedekind on Hypercomplex Numbers
Lützen, Jesper, 2001, In: Matematisk Fysiske Meddelelser - Kongelige Danske Videnskabernes Selskab. 46, 2, p. 223-254Research output: Contribution to journal › Journal article › Research › peer-review
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Julius Petersen. Annotated Bibliography
Lützen, Jesper, Christiansen, M. & Toft, B., 1992, In: Discrete Mathematics. 100, p. 83-97Research output: Contribution to journal › Journal article › Research › peer-review
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Let G be a group
Lützen, Jesper, 2015, Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics. Davis, E. & Davis, P. J. (eds.). Switzerland: Springer, p. 177-192Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Magtfuld outsider
Lützen, Jesper, 2000, Det Naturvidenskabelige Fakultet, 1850-2000 (Særudgave af Hovedområdet). København: Museum Tusculanum, p. 20-21Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Communication
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Mat 3MH (Matematikhistorie). Stikords-kompendium
Lützen, Jesper, 1994, København: Matematisk Institut Publikation, KU. 58 p.Research output: Book/Report › Book › Research
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Matematikkens og Rummets Natur
Lützen, Jesper, 2003, Matematikkens og Rummets Natur. 5 ed. Århus: Aarhus Universitetsforlag, p. 28-31Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research
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Matematisk Metode
Lützen, Jesper & Kiming, Ian, 2008, København: Museum Tusculanum. 187 p.Research output: Book/Report › Book › Education
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Mathematical Impossibility in History and in the Classroom
Lützen, Jesper, 2013, In: Cuadernos de Investigación y Formación en Educación Matemática. 8, 11, p. 165-174Research output: Contribution to journal › Journal article › Research › peer-review
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Mechanics and mathematics in Joseph Liouville's research
Lützen, Jesper, 2012, The Circulation of Science and Technology: Proceedings of the 4th International Conference of the European Society for the History of Science, Barcelona, 18-20 November 2010. Barcelona: SCHCT-IEC, p. 520-521Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics
Lützen, Jesper, 2005, --. Oxford: Oxford University Press, p. 1-318Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Mechanistic Images in Geometric Form: Hertz's Principles of Mechanics
Lützen, Jesper, 2000, Proceedings of the Canadian Society for History and Philosophy of Mathematics. Toronto: The Canadian Society for History and Philosophy of Mathematics, p. 1-12Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Note by the Communicator of Two Papers by J. Barrow-Green and by K.G. Andersson on Poincaré
Lützen, Jesper, 1994, In: Archive for History of Exact Sciences. 48, p. 105-106Research output: Contribution to journal › Journal article › Research › peer-review
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On the Analytical Representation of Direction. An attempt Applied Chiefly to Solving Plane and Spherical Polygons. Translated by Flemming Damhus. With Introductory Chapters by Bodil Branner, Nils Voje
Lützen, Jesper & Branner, B., 1999, Matematisk-fysiske Meddelelser. Copenhagen: Det Kongelige Danske Videnskabers Selskab, p. 1-140Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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On “Space” and “Geometry” in the Nineteenth Century
Lützen, Jesper, 2023, The Richness of the History of Mathematic: A Tribute to Jeremy Gray. Springer, p. 317 - 339 (Archimedes, Vol. 66).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Partial diffenrential equations
Lützen, Jesper, 1994, Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Vol 1. London, New York: Routledge, p. 452-469Research output: Chapter in Book/Report/Conference proceeding › Encyclopedia chapter › Research
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Perspectives on Scandinavian Science in the Early Twentieth Century: Edited by Reinhard Siegmund-Schultze and Henrik Kragh Sørensen
Lützen, Jesper, 2008, In: Historia Mathematica. 34, 4, p. 335-336 2 p.Research output: Contribution to journal › Review › Research
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Skolekammerater og kolleger. Matematikerne Julius Petersen og Hieronymus Georg Zeuthen
Lützen, Jesper, 2000, Fakultære Højdepunkter. Episoder fra Det naturvidenskabelige Fakultets 150-årige historie. Lützen, J. (ed.). København: Museum Tusculanum, p. 45-63Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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Studieretningsprojekter i matematik og historie
Lützen, Jesper, 2009, In: Noter om Historie og Undervisning. 181, p. 14-18Research output: Contribution to journal › Journal article › Communication
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Taltegn og talbegreber. En historisk rejse
Lützen, Jesper, 2007, Matema10k: Matematik for gymnasiet, A-niveau. Jensen, T., Jessen, C. & Nielsen, M. O. (eds.). 1 ed. København: Frydenlund Academic, Vol. 3. p. 125-154 29 p.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education
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The Algebra of Geometric Impossibility: Descartes and Montucla on the Impossibility of the Duplication of the Cube and the Trisection of the Angle
Lützen, Jesper, 2010, In: Centaurus (Copenhagen). 52, 1, p. 4-37Research output: Contribution to journal › Journal article › Research › peer-review
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The Foundation of Analysis in the 19th century
Lützen, Jesper, 2003, The Foundation of Analysis in the 19th century. Intet ed. Providence, R.I.: American Mathematical Society, p. 155-195Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research
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The Geometric Aspects of Hertz's Prinzipien der Mechanik
Lützen, Jesper, 2008, Heinrich Hertz (1857-1894)and the Development of Communication: Proceedings of the Symposium for History of Science, Hamburg, October 8-12, 2007. Nuncius Hamburgensis. Beitrage zur Geschichte der Naturwissenschaften. Band 10. Norderstedt bei Hamburg: Books on Demand GmbH, p. 201-209 9 p.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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The Interaction of Physics, Mechanics and Mathematics in Joseph Liouville's Research
Lützen, Jesper, 2013, The Dialectic Relation Between Physics and Mathematics in the XIXth Century. Barbin, E. & Pisano, R. (eds.). Dordrecht: Springer, p. 79-96 (History of Mechanism and Machine Science, Vol. 16).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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The Mathematical correspondence between Julius Petersen and Ludvig Sylow
Lützen, Jesper, 1992, Amphora. Festschrift für Hans Wussing zu seinem 65. Geburtstag. Basel: Birkhäuser Verlag, p. 439-467Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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The Mathematician Sophus Lie: It was the Audacity of my Thinking
Lützen, Jesper, 2004, In: Mathematical Intelligencer. 26, p. 60-64Research output: Contribution to journal › Review › Research
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The Mathematization of the Physical Sciences - Differential Equations of Nature
Lützen, Jesper, 2007, History of Mathematics, in Encyclopedia of Life Support Systems (EOLSS), Developed under the Auspices of the UNESCO, http://www.eolss.net. Gray, J. & Hansen, V. L. (eds.). Oxford, UK: Eolss PublishersResearch output: Chapter in Book/Report/Conference proceeding › Encyclopedia chapter › Research
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The Physical Origin of Physically Useful Mathematics
Lützen, Jesper, Sep 2011, In: Interdisciplinary Science Reviews. 36, 3, p. 229-243 15 p.Research output: Contribution to journal › Journal article › Research › peer-review
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The Rise and Fall of Descriptive Geometry in Denmark
Lützen, Jesper, 2019, Descriptive Geometry, The Spread of a Polytechnic Art: The Legacy of Gaspard Monge. Barbin, É., Menghini, M. & Volkert, K. (eds.). Springer, p. 255-274 (International Studies in the History of Mathematics and its Teaching).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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The birth of spectral theory. Joseph Liouvill's contributions
Lützen, Jesper, 1992, Proceedings of the International Congress of Mathematicians. Kyoto 1990. Tokyo: Springer, p. 1651-1663Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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The mystery of ten wooden blocks: Hjelmslev’s geometry of reality
Lützen, Jesper, 2020, In: Mathematische Semesterberichte. 67, 2, p. 161-167Research output: Contribution to journal › Journal article › Research › peer-review
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Why was Wantzel overlooked for a century?The changing importance of an impossibility result
Lützen, Jesper, 2009, In: Historia Mathematica. 36, p. 374-394Research output: Contribution to journal › Journal article › Research › peer-review
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Zeuthen, Hieornymus Georg
Lützen, Jesper, 2002, Writing the History of Mathematics: Its Historical Development. Basel: Birkhäuser Verlag, p. 574-578Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
ID: 9173
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How mathematical impossibility changed welfare economics: A history of Arrow's impossibility theorem
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The mystery of ten wooden blocks: Hjelmslev’s geometry of reality
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Hjelmslev's geometry of reality
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