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Episodes in the History of Modern Algebra (1800–1950)
About this Title
Jeremy J. Gray, The Open University, Milton Keynes, England and Karen Hunger Parshall, University of Virginia, Charlottesville, VA, Editors
Publication: History of Mathematics
Publication Year:
2007; Volume 32
ISBNs: 978-0-8218-6904-8 (print); 978-1-4704-1808-3 (online)
DOI: https://doi.org/10.1090/hmath/032
MathSciNet review: MR2307989
MSC: Primary 00B25; Secondary 01A05, 01A55, 01A60, 01A70, 13-03
Table of Contents
Front/Back Matter
Chapters
- Acknowledgments
- Introduction
- Babbage and French Idéologie: 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 über 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