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.
* 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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Produktdetaljer
ISBN
9780080925462
Publisert
2016
Utgiver
Vendor
Academic Press
Språk
Product language
Engelsk
Format
Product format
Digital bok