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Episodes in the history of modern algebra (1800-1950) /
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
©2007.
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| Colección: | History of mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.