References for Hermann Grassmann

Version for printing
  1. W Burau, C J Scriba, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/doc/1G2-2830901716.html
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9037770/Hermann-Gunther-Grassmann

Books:

  1. H-J Petsche, Grassmann (Basel, 2006)
  2. H-J Petsche: Hermann Grassmann - Biography. Transl. by M Minnes. (Basel, 2009)
  3. H-J Petsche, L Kannenberg, G Kessler and J Liskowacka (eds.): Hermann Grassmann -- Roots and Traces. Autographs and Unknown Documents. Text in German and English. (Basel, 2009)
  4. H-J Petsche and P Lenke (eds.): International Grassmann Conference. Hermann Grassmann Bicentennial: Potsdam and Szczecin, 16 - 19 September 2009; Video Recording of the Conference. 4 DVD's, 16:59:25. (Potsdam, 2010)
  5. H-J Petsche, A C Lewis, J Liesen and S Russ (eds.): From Past to Future: Grassmann's Work in Context. The Grassmann Bicentennial Conference, September 2009 (Basel, 2010)
  6. 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 (Greifswald, 1995).
  7. G Schubring (ed.), Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (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 (Dordrecht, 1996), 3-6.
  2. B Biryukov and Z Kuzicheva, On the early appraisals in Russia of H. and R. Grassmann's achievements, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 175-183
  3. 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.
  4. 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.
  5. 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.
  6. L G Biryukova, Brief outline of a history of the genetic method in the development of the deductive sciences, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 87-90
  7. 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 (Dordrecht, 1996), 155-163.
  8. 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 (Dordrecht, 1996), 231-242.
  9. J Browne, Grassmann, geometry and mechanics, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 287-302
  10. P Cantù, Grassmann's epistemology: multiplication and constructivism, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 91-100
  11. 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.
  12. H Crapo, On Grassmann's regressive product, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 261-274
  13. F Demonte-Barbera, Did Gibbs influence Peano's ''Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann ...'' ? in From Past to Future: Grassmann's Work in Context (Basel, 2010), 197-208
  14. J Dieudonné, The tragedy of Grassmann, Linear and Multilinear Algebra 8 (1) (1979/80), 1-14.
  15. J-L Dorier, Basis and dimension---from Grassmann to van der Waerden, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 175-196.
  16. J Echeverr’a, L'analyse géométrique de Grassmann et ses rapports avec la caractéristique géométrique de Leibniz, Studia Leibnitiana 11 (2) (1979), 223-273.
  17. K Elfering, Über die sprachwissenschaftlichen Forschungen und das Aspiratengesetz von Hermann Günther Grassmann, in Hermann Grassmann : Werk und Wirkung (Greifswald, 1995), 33-36.
  18. D Fearnley-Sander, Hermann Grassmann and the creation of linear algebra, Amer. Math. Monthly 86 (10) (1979), 809-817.
  19. D Fearnley-Sander, Hermann Grassmann and the prehistory of universal algebra, Amer. Math. Monthly 89 (3) (1982), 161-166.
  20. D Fearnley-Sander, Grassmann's theory of dimension, in First Australian Conference on the History of Mathematics (Clayton, 1981), 52-82.
  21. D Flament, La 'Lineale Ausdehnungslehre' (1844) de Hermann Günther Grassmann, in 1830-1930 : a century of geometry (Berlin, 1992), 205-221.
  22. 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 (Dordrecht, 1996), 303-335.
  23. P Freguglia, Hermann Grassmann's Work and the Peano School, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 185-195
  24. 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.
  25. T Goto, The RigvedaDictionary froma modern viewpoint, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 363-375
  26. I Grattan-Guinness, Discovering Robert Grassmann (1815--1901), in From Past to Future: Grassmann's Work in Context (Basel, 2010), 19-35.
  27. I Grattan-Guinness, Where does Grassmann fit in the history of logic?, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 211-216.
  28. J Hafner, Hermann Grassmann's theory of religion and faith, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 37-47.
  29. M Hartimo, Grassmann's influence on Husserl, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 149-159
  30. A E Heath, Hermann Grassmann, The neglect of his work, Monist 27 (1917), 1-56.
  31. D Hestenes, Grassmann's legacy, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 243-260
  32. D Hestenes, Grassmann's vision, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 243-254.
  33. M-L Heuser, The Significance of Naturphilosophie for Justus and Hermann Grassmann, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 49-59
  34. D Hildenbrand, From Grassmann's vision to geometric algebra computing, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 423-433
  35. E Hitzer, New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 413-422
  36. M E Horn, Grassmann, Pauli, Dirac: special relativity in the schoolroom, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 435-450
  37. M Kozianka, Grassmann's ''Wörterbuch des Rig-Veda'' (Dictionary of Rig-Veda): a milestone in the study of Vedic Sanskrit, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 353-361
  38. 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.
  39. 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.
  40. Th Krisch, Ch Katsikadeli and S Niederreiter, Grassmann's contribution to lexicography and the living-on of his ideas in the Salzburg Dictionary to the Rig-Veda, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 377-386
  41. F W Lawvere, Grassmann's dialectics and category theory, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 255-264.
  42. A C Lewis, Some philosophical influences of the Ausdehnungslehre, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 141-148
  43. H Li, Projective geometric theorem proving with Grassmann - Cayley algebra, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 275-285
  44. J Liesen, Hermann Grassmann's theory of linear transformations, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 311-323
  45. 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 (Dordrecht, 1996), 29-35.
  46. A C Lewis, H Grassmann's 1844 'Ausdehnungslehre' and Schleiermacher's 'Dialektik', Ann. of Sci. 34 (2) (1977), 103-162.
  47. 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.
  48. A C Lewis, The unity of logic, pedagogy and foundations in Grassmann's mathematical work, Hist. Philos. Logic 25 (1) (2004), 15-36.
  49. P Lounesto Clifford Algebras and Spinors (Cambridge, 1997), 33-49.
  50. 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.
  51. N Marchuk, Representations of spinor groups using Grassmann exterior algebra, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 303-309
  52. G Mazzola, Classification of complex musical structures by Grassmann schemes, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 401-412
  53. Z Nádeník, Reception of Grassmann's ideas in Bohemia, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 147-153.
  54. J J Ohala, Hermann Grassmann: his contributions to historical linguistics and speech acoustics, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 345-352
  55. M Otte, Justus and Hermann Grassmann: philosophy andmathematics, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 61-70
  56. M Otte, The ideas of Hermann Grassmann in the Context of the Mathematical and Philosophical Tradition since Leibniz, Historia Mathematica 16 (1989), 1-35.
  57. 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.
  58. 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 (Dordrecht, 1996), 217-227.
  59. V Peckhaus, Robert and Hermann Grassmann's influence on the history of formal logic, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 221-228
  60. H-J Petsche, It began with Pestalozzi and Schleiermacher. Reflections on the polymath Hermann Grassmann (1809 -- 1877), Newsletter of the European Mathematical Society , No. 76 (June 2010), 39-46.
  61. H-J Petsche, Ernst Abbe's reception of Grassmann in the light of Grassmann's reception of Schleiermacher. in From Past to Future: Grassmann's Work in Context. (Basel, 2010), 161-174
  62. J Pfalzgraf, A short note on Grassmann manifolds with a view to noncommutative geometry, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 333-341
  63. M Radu, Axiomatics and self-reference: Reflections about Hermann Grassmann's contribution to axiomatics, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 101-116
  64. K Reich, Über die Ehrenpromotion Hermann Grassmanns an der Universität Tübingen im Jahre 1876, in Hermann Grassmann : Werk und Wirkung (Greifswald, 1995), 59-63.
  65. K Reich, Rudolf Mehmke, an outstanding propagator of Grassmann's vector calculus, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 209-220
  66. J Riche, Hermann Grassmann's contribution to Whitehead's foundations of logic and mathematics, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 229-239
  67. 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 (Dordrecht, 1996), 131-145.
  68. S Russ, Concepts and contrasts: Hermann Grassmann and Bernard Bolzano, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 117-126
  69. G Sarton, Grassmann - 1844, Isis 35 (1945), 326-330.
  70. 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 (Dordrecht, 1996), 165-173.
  71. K-H Schlote, Hermann Grassmanns Beitrag zur Algebrentheorie, Janus 72 (4) (1985), 225-255.
  72. 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.
  73. 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 (Dordrecht, 1996), 37-45.
  74. E Scholz, Hermann Grassmanns Analysis in Vektorräumen, Math. Semesterber. 31 (2) (1984), 177-194.
  75. G Schubring, Introduction - reflections on the complex history of Grassmann's reception, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), ix-xxix.
  76. G Schubring, Remarks on the fate of Grassmann's Nachlass, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 19-25.
  77. 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 (Dordrecht, 1996), 59-70.
  78. 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 (Dordrecht, 1996), 7-18.
  79. I Stewart, Hermann Grassmann was right, Nature 321 (6065) (1986), 17.
  80. P Süchring, Calculation and emotion: Hermann Grassmann and Gustav Jacobsthal's musicology, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 391-400
  81. A Swimmer, The Golden Gemini Spiral, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 325-331
  82. A Swimmer, The completion of Grassmann's natur- wissenschaftliche Methode, in Hermann Günther Grassmann (1809-1877) : visionary mathematician, scientist and neohumanist scholar (Dordrecht, 1996), 265-280.
  83. M Szukala, Institutional development of science in Stettin in the first half of the nineteenth century in the time of Hermann Grassmann, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 71-82
  84. 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 (Dordrecht, 1996), 117-130.
  85. 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.
  86. A E Tokmakidis, Der Begriff der Determinante in Hermann Günther Grassmanns (1809-1877) Ausdehnungslehre, Proceedings of the 4th International Congress of Geometry, Thessaloniki, 1996 (Thessaloniki, 1997), 409-416.
  87. 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 (Dordrecht, 1996), 71-85.
  88. P Ziche, New forms of science and new sciences of form: On the non-mathematical reception of Grassmann's work, in From Past to Future: Grassmann's Work in Context (Basel, 2010), 131-139

JOC/EFR December 2005

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