Institutions and Applications: Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989 - Hardcover

9780125996624: Institutions and Applications: Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989

Hardcover

ISBN 10: 0125996624 ISBN 13: 9780125996624

Publisher: Academic Press, 1990

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 Universit�t; 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.

Mathematical institutions in France and Germany and their role in promoting applications
Relationship between mathematics and physics
Foundations of mathematics
Complex variable theory, geometry and topology
Geometry in the spirit of Klein's Erlangen program
Algebra and number theory
Formative influences on mathematics in the United States

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Review:

"These volumes will interest advanced undergraduate and graduate students of the history of mathematics." --CHOICE

"Very interesting reading." --AMERICAN MATHEMATICAL MONTHLY

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