Research Catalog

Title

Hermann Günther Grassman (1809-1877) : visionary mathematician, scientist and neohumanist scholar : papers from a sesquicentennial conference / edited by Gert Schubring.

Publication

Boston, MA : Kluwer Academic Publishers, 1996.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Grassmann, Hermann, 1809-1877.
• Schubring, Gert.

Description

xxix, 359 pages : illustrations; 25 cm.

Summary

In this volume specialists from several disciplines present the first comprehensive, readily-accessible analysis of Grassmann's thought, its historical context and emergence, its reception, and its continuing influence on many branches of learning. The book addresses a general public in mathematics, physics, and linguistics, including graduate students in these fields, as well as historians of these disciples.

Series Statement

Boston studies in the philosophy of science ; v. 187

Uniform Title

Boston studies in the philosophy of science ; v. 187.

Subject

• Grassmann, Hermann, 1809-1877 > Congresses
• Scientists > Germany > Biography > Congresses
• Mathematicians > Germany > Biography > Congresses
• Humanists > Germany > Biography > Congresses

Bibliography (note)

• Includes bibliographical references and index.

Contents

• Introduction - Reflections on the complex history of Grassmann's reception / Gert Schubring -- A Survey of Grassmann's Ausdehnungslehre / Albrecht Beutelspacher -- On Grassmann's life and his work as a mathematics teacher / Heinz Schwartze -- Remarks on the fate of Grasmann's Nachlass / Gert Schubring -- The influence of Grassmann's theory of tides on the Ausdenungslehre / Albert C. Lewis -- The influence of Grassmann's crystallographic works on Hermann Grassmann / Erhard Scholz -- Geometrical Product - Exponentiation - Evo-lution. Justus Gunther Grassmann and dynamist Naturphilosophie / Marie-Luise Heuser -- The cooperation between Hermann and Robert Grassmann on the foundations of mathematics / Gert Schubring -- The origins of colorimetry: What did Helmholtz and Maxwell learn from Grassmann? / R. Steven Turner --
• Hermann Grassmann's contribution to the construction of a German "Kulturnation" - Scientific school grammar between Latin tradition and French conceptions / Erika Hultenschmidt -- The reception of Grassmann's mathematical achievements by A. Clebsch and his school / Renate Tobies -- The reception of Grassmann's work in Germany during the 1870s / David Rowe -- Reception of Grassmann's ideas in Bohemia / Zbynek Nadenik -- The influence of Grassmann on Italian projective n-dimensional geometry / Aldo Brigaglia -- Hermann Gunther Grassmann and the theory of hypercomplex number systems / Karl-Heinz Schlote -- Basis and Dimension - from Grassmann to van der Waerden / Jean-Luc Dorier -- Emergence of vector calculus in physics: the early decades / Karin Reich -- Where does Grassmann fit in the history of logic? / Ivor Grattan-Guinness -- The influence of Hermann Gunther Grassmann and Robert Grassmann on Ernst Schroder's Algebra of Logic / Volker Peckhaus --
• Grassmann progressive and regressive products and CG-Algebras / Andrea Brini and Antonio G. B. Teolis -- Grassmann's Vision / David Hestenes -- Grassmann's Dialectics and Category Theory / F. William Lawvere -- The completion of Grassmann's Natur-Wissenschaftliche Methode / Alvin Swimmer -- Grassmannian manifolds in geometry / Wilhelm Klingenberg -- Regressive products and Bourbaki / Arno Zaddach -- The Grassmann product in physics / Gunter Braunss -- Array-based logic / Ole Immanuel Franksen -- An Application of Grassmann geometry to a problem in robotics / Jochen Pfalzgraf.

ISBN

0792342615 (alk. paper)

LCCN

96041298

OCLC

ocm35305130

Owning Institutions

Columbia University Libraries