1,085 research outputs found
Die Korrespondenz 1925 - 1935
No full textSoftcover, 301 S.: 32,00 €Softcover, 17x24This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noether's sudden death in 1935. The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noether's style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse - Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
Emmy Noether i l’algebraïtzació de la topologia
No full textEmmy Noether i l’algebraïtzació de la topologiaLa Factoria FM
Emmy Noether i l’àlgebra commutativa
No full textEmmy Noether representa un punt d’inflexió fonamental en el desenvolupament de l’Àlgebra Commutativa. Per una banda, en ella
conflueixen algunes de les línies evolutives prèvies més importants. Per altra, a partir del seu treball i, sobretot, de la influència de la
seva manera de pensar i treballar les Matemàtiques, l’Àlgebra Commutativa va prendre la volada necessària per convertir-se en una
àrea de recerca amb gran vitalitat. A la xerrada revisarem aquesta evolució centrant-nos en el paper exercit per Emmy Noether en el
procés, tot explicant alguns dels seus resultats.La Factoria FM
Emmy Noether i l’algebraïtzació de la topologia
No full textEmmy Noether i l’algebraïtzació de la topologiaLa Factoria FM
Emmy Noether i l’àlgebra commutativa
No full textEmmy Noether representa un punt d’inflexió fonamental en el desenvolupament de l’Àlgebra Commutativa. Per una banda, en ella
conflueixen algunes de les línies evolutives prèvies més importants. Per altra, a partir del seu treball i, sobretot, de la influència de la
seva manera de pensar i treballar les Matemàtiques, l’Àlgebra Commutativa va prendre la volada necessària per convertir-se en una
àrea de recerca amb gran vitalitat. A la xerrada revisarem aquesta evolució centrant-nos en el paper exercit per Emmy Noether en el
procés, tot explicant alguns dels seus resultats.La Factoria FM
Lotka' s Law, Co-authorship and Interdisciplinary Publishing
No full textThe robustness or breakdown of Lotka's law about the frequency distribution of scientific productivity depends on scientific cooperation, counting methods, interdisciplinary publishing and selection methods for sample collections. We have chosen to analyse the relationship using Mandelbrot's equivalent distribution model because this model is sensitive and uses the original data (scores). Five sets of authors and publications, the two sets used by Lotka, a set from High Energy Physics, a set from Microbiology and a set based on applicants to a research programme promoting young researchers have been used. It is shown that even for a sample of authors in High-Energy Physics with extremely strong co-authorship, Mandelbrot's distribution law is robust when complete-normalized (fractional) counting is used whereas complete counting results in a breakdown. In the field of Microbiology with much weaker cooperation, both counting methods result in a breakdown of Mandelbrot's law. Today a field like Microbiology with the corresponding set of journals, probably has a large content of interdisciplinary publishing and therefore no more fulfills the precondition of Lotka's law, that the total production of the authors (sources) is considered. For a set of applicants for the Emmy Noether Programme of the German Research Foundation. Mandelbrot's law breaks down despite the fact that all publications co-authored by the applicants are taken into account. In agreement with Bayes' theorem of conditional probabilities these results lead to the conjecture that any selection process of authors and/or publications causes a breakdown of Mandelbrot's law and, as a consequence Lotka's law
Emmy Noether: una contribución extraordinaria y generosa al establecimiento de la Geometría Algebraica
No full textEn la charla se mostrará la importante contribución de la investigación desarrollada por Emmy Noether sobre la teoría de ideales a los fundamentos de la Geometría Algebraica. Su alumno Van der Waerden tuvo un papel clave en la consolidación de esta rama de la Geometría y veremos algunos resultados e ideas de Emmy Noether que dieron lugar posteriormente a líneas de investigación y avan-ces significativos en las etapas más contemporáneas de la relación del Álgebra Conmutativa y la Geometría.La Factoria FM
Emmy Noether: una contribución extraordinaria y generosa al establecimiento de la Geometría Algebraica
No full textEn la charla se mostrará la importante contribución de la investigación desarrollada por Emmy Noether sobre la teoría de ideales a los fundamentos de la Geometría Algebraica. Su alumno Van der Waerden tuvo un papel clave en la consolidación de esta rama de la Geometría y veremos algunos resultados e ideas de Emmy Noether que dieron lugar posteriormente a líneas de investigación y avan-ces significativos en las etapas más contemporáneas de la relación del Álgebra Conmutativa y la Geometría.La Factoria FM
A Founding Mother of Mathematics: Emmy Noether
No full textIn this thesis we look into Emmy Noether\u27s life and works. An overview of Emmy Noether\u27s life gives context to understanding her approach to mathematics which produced seminal works. In Invariante Varationsprobleme, Noether proved the connection between symmetry and conservation laws; Noether\u27s theorem is the foundations of modern physics. In Idealtheorie in Ringberichen, she proved the ascending chain condition on ideals in an abstract setting; this work started the algebrization of mathematics in 20th century. Noether continued to produce phenomenal works and influenced numerous branches of mathematics. By understanding Emmy Noether\u27s life and her works, one achieves a greater understanding to the foundations of 20th century mathematics
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