Jesper Lützen

Jesper Lützen

Assistant Professor


  1. 2023
  2. Published

    A history of mathematical impossibility

    Lützen, Jesper, 2023, Oxford University Press. 284 p.

    Research output: Book/ReportBookResearchpeer-review

  3. Published

    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 proceedingBook chapterResearchpeer-review

  4. 2022
  5. Published

    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. 360–363

    Research output: Contribution to journalComment/debateResearch

  6. 2021
  7. Published

    Hjelmslev's geometry of reality

    Lützen, Jesper, 2021, In: Historia Mathematica. 54, p. 95-116

    Research output: Contribution to journalJournal articleResearchpeer-review

  8. Published

    Hjelmslev’s Model celebrating Juel’s Synthetic Theory of Surfaces

    Lützen, Jesper, 2021, In: Mathematische Semesterberichte. 68, p. 17-26

    Research output: Contribution to journalJournal articleResearchpeer-review

  9. 2020
  10. Published

    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 journalLiterature reviewResearch

  11. Published

    The mystery of ten wooden blocks: Hjelmslev’s geometry of reality

    Lützen, Jesper, 2020, In: Mathematische Semesterberichte. 67, 2, p. 161-167

    Research output: Contribution to journalJournal articleResearchpeer-review

  12. 2019
  13. Published

    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 journalJournal articleResearchpeer-review

  14. Published

    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 proceedingBook chapterResearchpeer-review

  15. 2017
  16. Published

    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. 367-394

    Research output: Contribution to journalJournal articleResearchpeer-review

  17. Published

    A Brief History of Numbers by Leo Corry

    Lützen, Jesper, 2017, In: Mathematical Intelligencer. 39, 3, p. 87-90

    Research output: Contribution to journalLiterature reviewResearchpeer-review

  18. 2015
  19. Published
  20. Published

    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. 543-559

    Research output: Contribution to journalJournal articleResearchpeer-review

  21. Published

    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. 177-192

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  22. 2014
  23. Published

    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. 211-251

    Research output: Contribution to journalJournal articleResearchpeer-review

  24. 2013
  25. Published

    Mathematical Impossibility in History and in the Classroom

    Lützen, Jesper, 2013, In: Cuadernos de Investigación y Formación en Educación Matemática. 8, 11, p. 165-174

    Research output: Contribution to journalJournal articleResearchpeer-review

  26. Published

    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 proceedingBook chapterResearchpeer-review

  27. 2012
  28. Published

    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. 520-521

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  29. 2011
  30. Published

    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 journalJournal articleResearchpeer-review

  31. Published

    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 proceedingBook chapterResearchpeer-review

  32. 2010
  33. Published

    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/ReportAnthologyResearchpeer-review

  34. Published

    Introduction: In Honour of Kirsti Andersen

    Lützen, Jesper & Sørensen, H. K., 2010, In: Centaurus (Copenhagen). 52, 1, p. 1-3

    Research output: Contribution to journalEditorialResearch

  35. Published

    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. 4-37

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. 2009
  37. Published

    Why was Wantzel overlooked for a century?The changing importance of an impossibility result

    Lützen, Jesper, 2009, In: Historia Mathematica. 36, p. 374-394

    Research output: Contribution to journalJournal articleResearchpeer-review

  38. 2008
  39. Published

    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. 25-47

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  40. Published

    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. 251-266

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  41. Published

    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 journalReviewResearch

  42. Published

    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 proceedingBook chapterResearch

  43. 2007
  44. Published

    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 proceedingBook chapterResearch

  45. Published

    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 Publishers

    Research output: Chapter in Book/Report/Conference proceedingEncyclopedia chapterResearch

  46. 2006
  47. Published

    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 proceedingBook chapterResearch

  48. Published

    A Scientific Duo: Reflections on the Interplay between Mathematics and Physics

    Lützen, Jesper, 2006, In: EMS Newsletter. 60, p. 23-27

    Research output: Contribution to journalJournal articleResearchpeer-review

  49. Published

    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. 51-64

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  50. Published

    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/ReportAnthologyResearchpeer-review

  51. Published

    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 proceedingPreface/postscriptResearch

  52. 2005
  53. Published

    En videnskabelig duo: Matematikkens samspil med fysik 1809-1950

    Lützen, Jesper, 2005, In: mat Matilde. 22, p. 18-20

    Research output: Contribution to journalJournal articleResearchpeer-review

  54. Published

    Heinrich Hertz, Posthumous book on Mechanics (1894)

    Lützen, Jesper, 2005, Landmark Writings in Western Mathematics 1640-1940. Grattan-Guinness, I. (ed.). Amsterdam: Elsevier, p. 677-689

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  55. Published

    Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics

    Lützen, Jesper, 2005, --. Oxford: Oxford University Press, p. 1-318

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  56. 2004
  57. Published

    The Mathematician Sophus Lie: It was the Audacity of my Thinking

    Lützen, Jesper, 2004, In: Mathematical Intelligencer. 26, p. 60-64

    Research output: Contribution to journalReviewResearch

  58. 2003
  59. Published

    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. 468-487

    Research output: Chapter in Book/Report/Conference proceedingReport chapterResearch

  60. Published

    Matematikkens og Rummets Natur

    Lützen, Jesper, 2003, Matematikkens og Rummets Natur. 5 ed. Århus: Aarhus Universitetsforlag, p. 28-31

    Research output: Chapter in Book/Report/Conference proceedingReport chapterResearch

  61. Published

    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. 155-195

    Research output: Chapter in Book/Report/Conference proceedingReport chapterResearch

  62. 2002
  63. Published

    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. 795-799

    Research output: Contribution to journalReviewResearch

  64. Published

    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. 89-104

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  65. Published

    Zeuthen, Hieornymus Georg

    Lützen, Jesper, 2002, Writing the History of Mathematics: Its Historical Development. Basel: Birkhäuser Verlag, p. 574-578

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  66. 2001
  67. Published

    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. 293

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  68. Published

    Geometri og Ølkrus

    Lützen, Jesper, 2001, Matematikken og Verden. København: Fremad, p. 99-126

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  69. Published

    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. 223-254

    Research output: Contribution to journalJournal articleResearchpeer-review

  70. 2000
  71. Published

    Fakultære Højdepunkter. Episoder fra Det naturvidenskabelige Fakultets 150-årige historie

    Lützen, Jesper (ed.), 2000, København: Museum Tusculanum. 160 p.

    Research output: Book/ReportBookResearch

  72. Published

    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. 1-12

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

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