References for Hermann Grassmann

Version for printing
  1. W Burau, C J Scriba, Biography in Dictionary of Scientific Biography (New York 1970-1990).
  2. Biography in Encyclopaedia Britannica. [Available on the Web]

Books:

  1. H-J Petsche, Grassmann (Basel, 2006)
  2. P Schreiber (ed.), Hermann Grassmann : Werk und Wirkung, Proceedings of the International Conference on the Occasion of the One Hundred and Fiftieth Anniversary of the First Publication of the Lineale Ausdehnungslehre, held in Lieschow, May 23-28, 1994 (Ernst- Moritz- Arndt- Universität, Greifswald, 1995).
  3. G Schubring (ed.), Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996).

Articles:

  1. A Beutelspacher, A survey of Grassmann's 'Lineale Ausdehnungslehre', in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 3-6.
  2. L G Biryukova, The problem of the meaning of an analytic operation in H Grassmann's 'Die allgemeine Formenlehre' (Russian), Istor. Metodol. Estestv. Nauk No. 32 (1986), 66-74.
  3. L G Biryukova and B V Biryukov, On the axiomatic sources of fundamental algebraic structures: the achievements of Hermann Grassmann and Robert Grassmann (Russian), Modern Logic 7 (2) (1997), 131-159.
  4. L G Biryukova and B V Biryukov, Algorithmic problems in the 20th century and the formation of axiomatics of fundamental algebraic structures : the contribution of Hermann and Robert Grassmann (Russian), in Methodological analysis of the foundations of mathematics (Russian) ('Nauka', Moscow, 1988), 164-173.
  5. A Brigaglia, The influence of H Grassmann on Italian projective n-dimensional geometry, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 155-163.
  6. A Brini and A G B Teolis, Grassmann progressive and regressive products and CG-algebras, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 231-242.
  7. G Châtelet, La capture de l'extension comme dialectique géométrique: dimension et puissance selon l'Ausdehnung de Grassmann (1844), in 1830-1930 : a century of geometry (Berlin, 1992), 222-244.
  8. J-L Dorier, Basis and dimension---from Grassmann to van der Waerden, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 175-196.
  9. J Dieudonné, The tragedy of Grassmann, Linear and Multilinear Algebra 8 (1) (1979/80), 1-14.
  10. J Echeverr’a, L'analyse géométrique de Grassmann et ses rapports avec la caractéristique géométrique de Leibniz, Studia Leibnitiana 11 (2) (1979), 223-273.
  11. K Elfering, Über die sprachwissenschaftlichen Forschungen und das Aspiratengesetz von Hermann Günther Grassmann, in Hermann Grassmann : Werk und Wirkung (Ernst-Moritz-Arndt-Universität, Greifswald, 1995), 33-36.
  12. D Fearnley-Sander, Hermann Grassmann and the creation of linear algebra, Amer. Math. Monthly 86 (10) (1979), 809-817.
  13. D Fearnley-Sander, Hermann Grassmann and the prehistory of universal algebra, Amer. Math. Monthly 89 (3) (1982), 161-166.
  14. D Fearnley-Sander, Grassmann's theory of dimension, in First Australian Conference on the History of Mathematics (Clayton, 1981), 52-82.
  15. D Flament, La 'Lineale Ausdehnungslehre' (1844) de Hermann Günther Grassmann, in 1830-1930 : a century of geometry (Berlin, 1992), 205-221.
  16. O I Franksen, Invariance under nesting---an aspect of array-based logic with relation to Grassmann and Peirce, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 303-335.
  17. N A Gordienko, The concept of 'fraction' in H Grassmann's 'Die Ausdehnungslehre' and its connection with contemporary linear algebra (Russian), Istor.-Mat. Issled. (32-33) (1990), 181-199.
  18. I Grattan-Guinness, Where does Grassmann fit in the history of logic?, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 211-216.
  19. A E Heath, Hermann Grassmann, The neglect of his work, Monist 27 (1917), 1-56.
  20. D Hestenes, Grassmann's vision, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 243-254.
  21. F D Kramar, The geometrical algebra of Saint-Venant, Grassmann, Hamilton (Russian), in Proc. Second Kazakhstan Interuniv. Sci. Conf. Math. Mech. 1965 (Russian) (Izdat. 'Nauka' Kazah. SSR, Alma-Ata, 1968 ), 236--237.
  22. F D Kramar, The geometric Grassmann calculus (Russian), in Proc. Second Kazakhstan Interuniv. Sci. Conf. Math. Mech. 1965 (Russian) (Izdat. 'Nauka' Kazah. SSR, Alma-Ata, 1968 ), 30-33.
  23. F W Lawvere, Grassmann's dialectics and category theory, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 255-264.
  24. A C Lewis, The influence of Grassmann's theory of tides on the 'Ausdehnungslehre', in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 29-35.
  25. A C Lewis, H Grassmann's 1844 'Ausdehnungslehre' and Schleiermacher's 'Dialektik', Ann. of Sci. 34 (2) (1977), 103-162.
  26. A C Lewis, Hermann Grassmann and the algebraization of arithmetic, in Hermann Grassmann : Werk und Wirkung (Ernst-Moritz-Arndt-Universität, Greifswald, Greifswald, 1995), 47-58.
  27. A C Lewis, The unity of logic, pedagogy and foundations in Grassmann's mathematical work, Hist. Philos. Logic 25 (1) (2004), 15-36.
  28. P Lounesto Clifford Algebras and Spinors (Cambridge, 1997), 33-49.
  29. G I R Malykhina, Grassmann's 'Forms of rigorous science' and their relation to natural language (Russian), Vestnik Beloruss. Gos. Univ. Ser. I (1) (1981), 72-73.
  30. Z Náden’k, Reception of Grassmann's ideas in Bohemia, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 147-153.
  31. M Otte, The ideas of Hermann Grassmann in the Context of the Mathematical and Philosophical Tradition since Leibniz, Historia Mathematica 16 (1989), 1-35.
  32. M Otte, Gleichheit und Gegenständlichkeit in der Begründung der Mathematik im 19. Jahrhundert - dargestellt am Beispiel der Auffassungen von H Grassmann, B Bolzano und G Frege, in Konzepte des mathematisch Unendlichen im 19. Jahrhundert (Göttingen, 1990), 219-253.
  33. V Peckhaus, The influence of Hermann Günther Grassmann and Robert Grassmann on Ernst Schröder's algebra of logic, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 217-227.
  34. K Reich, Über die Ehrenpromotion Hermann Grassmanns an der Universität Tübingen im Jahre 1876, in Hermann Grassmann : Werk und Wirkung (Ernst-Moritz-Arndt-Universität, Greifswald, Greifswald, 1995), 59-63.
  35. D E Rowe, On the reception of Grassmann's work in Germany during the 1870's, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 131-145.
  36. G Sarton, Grassmann - 1844, Isis 35 (1945), 326-330.
  37. K-H Schlote, Hermann Günther Grassmann and the theory of hypercomplex number systems, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 165-173.
  38. K-H Schlote, Hermann Grassmanns Beitrag zur Algebrentheorie, Janus 72 (4) (1985), 225-255.
  39. K-H Schlote, Hypercomplex numbers in the work of Caspar Wessel and Hermann Günther Grassmann: are there any similarities?, Mat. Medd. Danske Vid. Selsk. 46 (2) (2001), 205-222.
  40. E Scholz, The influence of Justus Grassmann's crystallographic works on Hermann Grassmann, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 37-45.
  41. E Scholz, Hermann Grassmanns Analysis in Vektorräumen, Math. Semesterber. 31 (2) (1984), 177-194.
  42. G Schubring, Introduction - reflections on the complex history of Grassmann's reception, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), ix-xxix.
  43. G Schubring, Remarks on the fate of Grassmann's Nachlass, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 19-25.
  44. G Schubring, The cooperation between Hermann and Robert Grassmann on the foundations of mathematics, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 59-70.
  45. H Schwartze, On Hermann Grassmann's life and his work as a mathematics teacher, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 7-18.
  46. I Stewart, Hermann Grassmann was right, Nature 321 (6065) (1986), 17.
  47. A Swimmer, The completion of Grassmann's natur- wissenschaftliche Methode, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 265-280.
  48. R Tobies, The reception of H. Grassmann's mathematical achievements by A. Clebsch and his school, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 117-130.
  49. M Toepell, Zum Einfluss Grassmanns auf die Grundlagen der Geometrie, in Hermann Grassmann : Werk und Wirkung (Ernst-Moritz-Arndt-Universität, Greifswald, Greifswald, 1995), 71-86.
  50. A E Tokmakidis, Der Begriff der Determinante in Hermann Günther Grassmanns (1809-1877) Ausdehnungslehre, Proceedings of the 4th International Congress of Geometry, Thessaloniki, 1996 (Giachoudis-Giapoulis, Thessaloniki, 1997), 409-416.
  51. R S Turner, The origins of colorimetry: what did Helmholtz and Maxwell learn from Grassmann?, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Kluwer Academic Publishers Group, Dordrecht, 1996), 71-85.
JOC/EFR December 2005

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