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Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.--
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On the occasion of the 200th anniversary of the birth of Hermann Graßmann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Graßmann's hometown Szczecin, Poland. The idea of the conference was to present a multi-faceted picture of Graßmann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the 20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century. This book contains 37 papers presented at the conference. They investigate the significance of Graßmann's work for philosophical as well as for scientific and methodological questions, for comparative philology in general and for Indology in particular, for psychology, physiology, religious studies, musicology, didactics, and, last but not least, mathematics. In addition, the book contains numerous illustrations and English translations of original sources, which are published here for the first time. These include life histories of Graßmann (written by his son Justus) and of his brother Robert (written by Robert himself), as well as the paper "On the concept and extent of pure theory of number'' by Justus Graßmann (the father).
Grassmann, Hermann, -- 1809-1877 -- Congresses. --- Humanists -- Germany -- Congresses. --- Mathematicians -- Germany -- Congresses. --- Scientists -- Germany -- Congresses. --- Mathematicians --- Scientists --- Humanists --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Grassmann, Hermann, --- Grassmann, Hermann Gunther, --- Mathematics. --- History. --- History of Mathematical Sciences. --- Annals --- Auxiliary sciences of history --- Math --- Science --- Mathematicians - Germany - Congresses --- Scientists - Germany - Congresses --- Humanists - Germany - Congresses --- Grassmann, Hermann, - 1809-1877 - Congresses --- Grassmann, Hermann, - 1809-1877
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Hermann Günther Graßmann was one of the 19th century’s most remarkable scientists, but many aspects of his life have remained in the dark. This book assembles essential, first-hand information on the Graßmann family. It sheds light on the family’s struggle for scientific knowledge, progress and education. It puts a face on the protagonists of an exciting development in the history of science. And it highlights the peculiar set of influences which led Hermann Graßmann to brilliant insights in mathematics, philology and physics. This book of sources is meant to complement the biography of Graßmann and the proceedings of the 2009 Graßmann Bicentennial Conference (Birkhäuser 2010). "Roots and Traces" will interest all scholars working on Hermann Graßmann and related topics. It offers newly discovered pictures of family members, historical texts documenting life in this exceptional family and an English translation of these previously unpublished papers. Text in German and English.
Grassmann, Hermann, -- 1809-1877 -- Autographs. --- Mathematicians -- Germany -- Biography. --- Physicists -- Germany -- Biography. --- Mathematicians --- Physicists --- Mathematics --- Mathematics - General --- Physical Sciences & Mathematics --- Mathematicians. --- Linguists. --- Grassmann, Hermann, --- Grassmann, Hermann Gunther, --- Mathematics. --- History. --- History of Mathematical Sciences. --- Philologists --- Scientists --- Annals --- Auxiliary sciences of history --- Math --- Science
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Hermann Günther Graßmann was one of the most remarkable personalities in 19th-century science. A "small-town genius", he developed a groundbreaking n-dimensional algebra of space and contributed to a revolution in the understanding of mathematics. His work fascinated great mathematicians such as W. R. Hamilton, J. W. Gibbs and A. N. Whitehead. This intellectual biography traces Graßmann’s steps towards scientific brilliance by untangling a complicated web of influences: the force of unsolved problems in mathematics, Friedrich Schleiermacher’s Dialectic, German Romanticism and life in 19th-century Prussia. The book also introduces the reader to the details of Graßmann’s mathematical work without neglecting his achievements in Sanskrit philology and physics. And, for the first time, it makes many original sources accessible to the English-language reader.
Grassmann, Hermann, 1809-1877. --- Mathematical physics. --- Mathematics. --- Philosophy. --- Science. --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Mathematicians --- Physicists --- High school teachers --- History --- Grassmann, Hermann, --- Secondary school teachers --- Senior high school teachers --- Grassmann, Hermann Gunther, --- History. --- History of Mathematical Sciences. --- Teachers --- Annals --- Auxiliary sciences of history --- Math --- Science
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Humanists --- -Mathematicians --- -Scientists --- -Professions --- Scientists --- Scholars --- Biography --- -Congresses --- Grassmann, Hermann --- -Biography --- Mathematicians --- Professional employees --- Biography&delete& --- Congresses --- Grassmann, Hermann, --- Grassmann, Hermann Gunther, --- Congresses. --- Germany --- Weimar Republic --- Germanii︠a︡ --- Германия --- BRD --- FRN --- Jirmānīya --- جرمانيا --- Nimechchyna --- Gjermani --- Federalʹna Respublika Nimechchyny --- Veĭmarskai︠a︡ Respublika --- Ashkenaz --- Germanyah --- Bundesrepublik Deutschland --- Federal Republic of Germany --- Deutschland --- Repoblika Federalin'i Alemana --- República Federal de Alemania --- Alemania --- República de Alemania --- Bu̇gd Naĭramdakh German Uls --- Kholboony Bu̇gd Naĭramdakh German Uls --- KhBNGU --- ХБНГУ --- German Uls --- Germania --- Republika Federal Alemmana --- Deutsches Reich --- Grossdeutsches Reich --- Weimarer Republik --- Vācijā --- Germany (Territory under Allied occupation, 1945-1955) --- Germany (Territory under Allied occupation, 1945-1955 : British Zone) --- Germany (Territory under Allied occupation, 1945-1955 : French Zone) --- Germany (Territory under Allied occupation, 1945-1955 : Russian Zone) --- Germany (Territory under Allied occupation, 1945-1955 : U.S. Zone) --- Germany (East) --- Germany (West) --- Holy Roman Empire --- Intellectual life --- ドイツ --- Doitsu --- ドイツ連邦共和国 --- Doitsu Renpō Kyōwakoku --- Grassmann, Hermann Günther --- Influence --- ドイツ レンポウ キョウワコク --- Deguo --- 德国 --- Gėrman --- Герман Улс
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