: David E. Rowe
: Emmy Noether - Mathematician Extraordinaire
: Springer-Verlag
: 9783030638108
: 1
: CHF 124.00
:
: Allgemeines, Lexika
: English
: 357
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
Although she was famous as the 'mother of modern algebra,' Emmy Noether's life and work have never been the subject of an authoritative scientific biography. Emmy Noether - Mathematician Extraordinaire repre ents the most comprehensive study of this singularly important mathematician to date. Focusing on key turning points, it aims to provide an overall interpretation of Noether's intellectual development while offering a new assessment of her role in transforming the mathematics of the twentieth century.

Hermann Weyl, her colleague before both fled to the United States in 1933, fully recognized that Noether's dynamic school was the very heart and soul of the famous Göttingen community. Beyond her immediate circle of students, Emmy Noether's lectures and seminars drew talented mathematicians from all over the world. Four of the most important were B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky. Noether's classic papers on ideal theory inspired van der Waerden to recast his research in algebraic geometry. Her lectures on group theory motivated Alexandrov to develop links between point set topology and combinatorial methods. Noether's vision for a new approach to algebraic number theory gave Hasse the impetus to pursue a line of research that led to the Brauer-Hasse-Noether Theorem, whereas her abstract style clashed with Taussky's approach to classical class field theory during a difficult time when both were trying to find their footing in a foreign country.

Although similar to Proving It Her Way: Emmy Noether, a Life in Mathematics, this lengthier study addresses mathematically minded readers. Thus, it presents a detailed analysis of Emmy Noether's work with Hilbert and Klein on mathematical problems connected with Einstein's theory of relativity. These efforts culminated with her famous paper 'Invariant Variational Problems,' published one year before she joined the Göttingen faculty in 1919.

     



David E. Rowe is professor emeritus for history of mathematics and natural sciences at Mainz University. He is the author ofA Richer Picture of Mathematics: The Göttingen Tradition and Beyond, Springer, 2018.
Contents5
Preface7
Chapter 1 Max and Emmy Noether: Mathematics in Erlangen22
1.1 Max Noether’s early Career23
1.2 Academic Antisemitism27
1.3 Emmy Noether’s Uphill Climb36
1.4 Classical vs. Modern Invariant Theory44
1.5 Max Noether’s Career in Retrospect56
Chapter 2 Emmy Noether’s Long Struggle to Habilitate in Göttingen60
2.1 Opportunities for Women in Göttingen, 1890–191460
2.2 Habilitation as the Last Hurdle65
2.3 Noether’s Attempt to Habilitate69
Chapter 3 Emmy Noether’s Role in the Relativity Revolution84
3.1 Einstein’s Road to General Relativity85
3.2 Hilbert’s Approach to Einstein’s Theory88
3.3 Einstein reads Hilbert91
3.4 Klein’s Interests in General Relativity94
3.5 Noether on Invariant Variational Problems100
3.6 On the Slow Reception of Noether’s Theorems106
Chapter 4 Noether’s Early Contributions to Modern Algebra110
4.1 On the Rise of Abstract Algebra110
4.2 Noether’s Contributions to Abstract Ideal Theory113
4.3 Noether’s Ideal Theory and the Theorem of LaskerNoether117
4.4 Van der Waerden in Göttingen119
4.5 Pavel Alexandrov and Pavel Urysohn127
4.6 Brouwer and the Two Russians130
4.7 Urysohn’s Tragic Death133
4.8 Helping a Needy Friend136
Chapter 5 Noether’s International School in Modern Algebra142
5.1 Mathematics at “The Klie”142
5.2 The Takagi Connection146
5.3 Bologna ICM and Semester in Moscow149
5.4 Helmut Hasse and the Marburg Connection155
5.5 Takagi and Class Field Theory158
5.6 Collaboration with Hasse and Brauer160
5.7 Noether’s “Wish List” for Favorite Foreigners166
5.8 Paul Dubreil and the French Connection171
Chapter 6 Emmy Noether’s Triumphal Years175
6.1 The Marburg “Schiefkongress”175
6.2 Rockefeller and the IEB Program179
6.3 Birth of the Brauer-Hasse-Noether Theorem183
6.4 Olga Taussky and the Hilbert Edition190
6.5 From Vienna to Göttingen192
6.6 Taussky on Hilbert’s 70th Birthday196
6.7 Zurich ICM in 1932201
Chapter 7 Cast Out of Her Country208
7.1 Dark Clouds over Göttingen208
7.2 First Wave of Dismissals213
7.3 Hasse’s Campaign for Noether218
Chapter 8 Emmy Noether in Bryn Mawr232
8.1 Bryn Mawr College and Algebra in the United States232
8.2 Emmy Noether’s New Home238
8.3 Emmy’s Efforts on Behalf of Fritz Noether245
8.4 Last Visit in Göttingen254
8.5 Lecturer at Princeton’s Institute for Advanced Study260
Chapter 9 Memories and Legacies of Emmy Noether273
9.1 Obituaries and Memorials273
9.2 Fate of Fritz Noether and his Family285
9.3 Hasse’s Sympathies for Hitlerism297
9.4 Noether and “Hebraic Algebra”298
9.5 “German Algebra” in the United States302
9.6 On Noether’s Influence and Legacies304
9.7 Courant, Alexandrov, and Grete Hermann309
Bibliography315
Name Index347