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The history of modern mathematics : proceedings ... / Edited by David E. Rowe, John McCleary

Symposium on The History of Modern Mathematics (1989. N. York).
Contributor(s): Rowe, David E | Mac Cleary, John.
Material type: materialTypeLabelBook; Format: print Publisher: Boston : Academic Press, cop. 1989Description: 2 v. ; 24 cm.ISBN: 0-12-599662-4.Subject(s): Matemáticas -- Historia -- Congresos
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Enhanced descriptions from Syndetics:

The History of Modern Mathematics, Volume II: Institutions and Applications focuses on the history and progress of methodologies, techniques, principles, and approaches involved in modern mathematics.

The selection first elaborates on crystallographic symmetry concepts and group theory, case of potential theory and electrodynamics, and geometrization of analytical mechanics. Discussions focus on differential geometry and least action, intrinsic differential geometry, physically-motivated research in potential theory, introduction of potentials in electrodynamics, and group theory and crystallography in the mid-19th century. The text then elaborates on Schouten, Levi-Civita, and emergence of tensor calculus, modes and manners of applied mathematics, and pure and applied mathematics in divergent institutional settings in Germany. Topics include function of mathematics within technical colleges, evolvement of the notion of applied mathematics, rise of technical colleges, and an engineering approach to mechanics. The publication examines the transformation of numerical analysis by the computer; mathematics at the Berlin Technische Hochschule/Technische Universität; and contribution of mathematical societies to promoting applications of mathematics in Germany.

The selection is a valuable reference for mathematicians and researchers interested in the history of modern mathematics.

Contiene: I.Ideas and their reception II. Institutions and aplications

Table of contents provided by Syndetics

  • The Crossroads of Mathematics and Physics
  • Crystallographic Symmetry Concepts and Group Theory (1850-1880)
  • Physics as a Constraint on Mathematical Research: The Case of Potential Theory and Electrodynamics
  • The Geometrization of Analytical Mechanics: A Pioneering Contribution by Joseph Liouville (ca. 1850)
  • Schouten, Levi-Civita, and the Emergence of Tensor Calculus. Applied Mathematics in the Early 19th-Century France
  • Modes and Manners of Applied Mathematics: The Case of Mechanics
  • La Propogation des Ondes en Eau Profoned et ses D*aaeveloppements Math*aaematiques: (Poisson, Cauchy 1815-1825). Pure versus Applied Mathematics in Late 19th-Century Germany
  • Pure and Applied Mathematics in Divergent Institutional Settings in Germany: The Role and Impact of Felix Klein
  • On the Contribution of Mathematical Societies to Promoting Applications of Mathematics in Germany
  • Mathematics at the Berlin Technische Hochschule/Technische Universit*adat: Social, Institutional, and Scientific Aspects. Applied Mathematics in the United States During World War II
  • Mathematicians at War: Warren Weaver and the Applied Mathematics Panel, 1942-1945
  • The Transformation of Numerical Analysis by the Computer: An Example from the Work of John von Neumann
  • Notes on the Contributors

Reviews provided by Syndetics

CHOICE Review

The 24 papers in these two volumes were presented at the 1989 Vassar symposium, "The History of Modern Mathematics." Volume 1 is devoted primarily to "Ideas and Their Reception"; Volume 2 is concerned with "Institutions and Applications." Volume 1 is categorized into "Foundations of Mathematics," "National Styles in Algebra," "Geometry and the Emergence of Transformation Groups," and "Projective Algebraic Geometry," with single papers devoted to "Number Theory," "Riemann's Habilitationsvortrag," and a lone paper, "Abel's Theorem." Volume 2 focuses on "The Crossroads of Mathematics and Physics," "Applied Mathematics in the Early 19th-Century in France," "Pure versus Applied Mathematics in Late 19th-Century Germany," and "Applied Mathematics in the United States During World War II." Editors Rowe and McCleary note that in the 19th century both intellectual and institutional developments "profoundly affected the traditional role of mathematics within the exact sciences, providing it with a radically new orientation, one whose background has not received sufficient attention in the historical literature." Most of the papers are illustrated. Bibliographies and format vary according to author; there is no index. Although not for the casual reader, these volumes will interest advanced undergraduate and graduate students of the history of mathematics. J. W. Dauben Herbert H. Lehman College, CUNY

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