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Hermann Graßmann – Roots and Traces
  • Language: de
  • Pages: 265

Hermann Graßmann – Roots and Traces

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members, historical texts documenting life in this exceptional family and an English translation of these previously unpublished papers.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.

Hermann Graßmann
  • Language: en
  • Pages: 320

Hermann Graßmann

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.

From Past to Future: Graßmann's Work in Context
  • Language: en
  • Pages: 572

From Past to Future: Graßmann's Work in Context

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 philos...

Hermann Graßmann – Roots and Traces
  • Language: de

Hermann Graßmann – Roots and Traces

  • Type: Book
  • -
  • Published: 2009-09-18
  • -
  • Publisher: Birkhäuser

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.

From Past to Future: Graßmann's Work in Context
  • Language: en
  • Pages: 580

From Past to Future: Graßmann's Work in Context

  • Type: Book
  • -
  • Published: 2011-01-07
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  • Publisher: Birkhäuser

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 philos...

Hermann Gra©mann
  • Language: en

Hermann Gra©mann

  • Type: Book
  • -
  • Published: 2009
  • -
  • Publisher: Unknown

None

Grassmann Algebra Volume 1: Foundations
  • Language: en
  • Pages: 589

Grassmann Algebra Volume 1: Foundations

Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be...

Hermann Graßmann
  • Language: en
  • Pages: 306

Hermann Graßmann

  • Type: Book
  • -
  • Published: 2010-12-02
  • -
  • Publisher: Birkhäuser

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.

Conceptual Harmonies
  • Language: en
  • Pages: 303

Conceptual Harmonies

"Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is r...

Rationality in an Uncertain World
  • Language: en
  • Pages: 314

Rationality in an Uncertain World

Die Beiträge dieses Bandes, der aus dem ersten Symposium des ”Forum on Sustainable Technological Development in a Globalising World“ in Budapest hervorgegangen ist, widmen sich zwei Problemstellungen: Erstens der Möglichkeit rationaler Entscheidungen im Bereich technischer Entwicklung unter den Bedingungen von Ungewißheit (”uncertainty“), d.h. dem Verständnis von, dem Leben in und dem Umgang mit einer ”ungewissen“ Welt. Zweitens setzen sie sich mit den Perspektiven technischer Innovationen in einem sich wandelnden sozialen Umfeld auseinander, vorrangig aus der Perspektive ökologischer Nachhaltigkeit und ihrer sozialen Voraussetzungen. Im Mittelpunkt stehen dabei die Themen: ...