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9780821843437

Episodes in the History of Modern Algebra, (1800-1950)

by ;
  • ISBN13:

    9780821843437

  • ISBN10:

    0821843435

  • Format: Hardcover
  • Copyright: 2007-08-08
  • Publisher: Amer Mathematical Society
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Summary

Acknowledgments by J. J. Gray and K. H. Parshall Introduction by J. J. Gray and K. H. Parshall Babbage and French Ideologie: Functional equations, language, and the analytical method by E. L. Ortiz ''Very full of symbols'': Duncan F. Gregory, the calculus of operations, and the Cambridge Mathematical Journal by S. E. Despeaux Divisibility theories in the early history of commutative algebra and the foundations of algebraic geometry by O. Neumann Kronecker's fundamental theorem of general arithmetic by H. M. Edwards Developments in the theory of algebras over number fields: A new foundation for the Hasse norm residue symbol and new approaches to both the Artin reciprocity law and class field theory by G. Frei Minkowski, Hensel, and Hasse: On the beginnings of the local-global principle by J. Schwermer Research in algebra at the University of Chicago: Leonard Eugene Dickson and A. Adrian Albert by D. D. Fenster Emmy Noether's 1932 ICM lecture on noncommutative methods in algebraic number theory by C. W. Curtis From Algebra (1895) to Moderne Algebra (1930): Changing conceptions of a discipline--A guided tour using the Jahrbuch uber die Fortschritte der Mathematik by L. Corry A historical sketch of B. L. van der Waerden's work in algebraic geometry: 1926-1946 by N. Schappacher On the arithmetization of algebraic geometry by S. Slembek The rising sea: Grothendieck on simplicity and generality by C. McLarty

Table of Contents

Acknowledgments
Introduction
Babbage and French Ideologie: Functional equations, language, and the analytical method
"Very full of symbols": Duncan F. Gregory, the calculus of operations, and the Cambridge Mathematical Journal
Divisibility theories in the early history of commutative algebra and the foundations of algebraic geometry
Kronecker's fundamental theorem of general arithmetic
Developments in the theory of algebras over number fields: A new foundation for the Hasse norm residue symbol and new approaches to both the Artin reciprocity law and class field theory
Minkowski, Hensel, and Hasse: On the beginnings of the local-global principle
Research in algebra at the University of Chicago: Leonard Eugene Dickson and A. Adrian Albert
Emmy Noether's 1932 ICM lecture on noncommutative methods in algebraic number theory
From Algebra (1895) to Moderne Algebra (1930): Changing conceptions of a discipline–A guided tour using the Jahrbuch uber die Fortschritte der Mathematik
A historical sketch of B. L. van der Waerden's work in algebraic geometry: 1926-1946
On the arithmetization of algebraic geometry
The rising sea: Grothendieck on simplicity and generality
Table of Contents provided by Publisher. All Rights Reserved.

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