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E-raamat: Proving It Her Way: Emmy Noether, a Life in Mathematics

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  • Formaat: PDF+DRM
  • Ilmumisaeg: 23-Nov-2020
  • Kirjastus: Springer Nature Switzerland AG
  • Keel: eng
  • ISBN-13: 9783030628116
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Proving It Her Way: Emmy Noether, a Life in MathematicsSuurem pilt
  • Formaat: PDF+DRM
  • Ilmumisaeg: 23-Nov-2020
  • Kirjastus: Springer Nature Switzerland AG
  • Keel: eng
  • ISBN-13: 9783030628116
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The name Emmy Noether is one of the most celebrated in the history of mathematics. A brilliant algebraist and iconic figure for women in modern science, Noether exerted a strong influence on the younger mathematicians of her time and long thereafter; today, she is known worldwide as the "mother of modern algebra." Drawing on original archival material and recent research, this book follows Emmy Noethers career from her early years in Erlangen up until her tragic death in the United States. After solving a major outstanding problem in Einsteins theory of relativity, she was finally able to join the Göttingen faculty in 1919. Proving It Her Way offers a new perspective on an extraordinary career, first, by focusing on important figures in Noethers life and, second, by showing how she selflessly promoted the careers of several other talented individuals. By exploring her mathematical world, it aims to convey the personality and impact of a remarkable mathematician who literally changed the face of modern mathematics, despite the fact that, as a woman, she never held a regular professorship.





Written for a general audience, this study uncovers the human dimensions of Noethers key relationships with a younger generation of mathematicians. Thematically, the authors took inspiration from their cooperation with the ensemble portraittheater Vienna in producing the play "Diving into Math with Emmy Noether." Four of the young mathematicians portrayed in Proving It Her Way B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky also appear in "Diving into Math."

Arvustused

While most of Emmy Noether's letters may have been published previously, and naturally many published sources go into the making of this work, the result here is a depiction unique in breadth and depth of Emmy Noether and the communities in which she lived. (Albert C. Lewis, Mathematical Reviews, May, 2022)

The titles of the nine chapters of the book give a good impression on the wide range of topics covered . With this book the authors succeed in conveying a feeling for Noethers way of doing mathematics without going into mathematical details. A deeper insight in different aspects of Noethers life and work can be found . (Andrea Blunck, zbMATH 1479.01001, 2022)



Proving It Her Way is a wonderful general biography of Emmy Noether which provides the reader with an interesting overview of her life, mathematical contributions, and perseverance over discrimination. (Cynthia J. Huffman, MAA Reviews, July 4, 2021)

Preface vii
1 Diving into Math with Emmy Noether
1(12)
1.1 Emmy Noether's Timeline
2(4)
1.2 Four Mathematicians from Noether's Circle
6(2)
1.3 Name Dropping: A Who's Who
8(5)
2 Emmy Noether: a Portrait
13(28)
2.1 Biographical Aspects
15(11)
2.2 Modern Algebra and the Noether School
26(11)
2.3 Belated Recognition
37(4)
3 Max and Emmy Noether: Mathematics in Erlangen
41(26)
3.1 Max Noether's early Career
42(4)
3.2 Academic Antisemitism
46(9)
3.3 Emmy Noether's Uphill Climb
55(6)
3.4 Classical vs. Modern Invariant Theory
61(3)
3.5 Max Noether's Career in Retrospect
64(3)
4 Emmy Noether's Long Struggle to Habilitate in Gottingen
67(16)
4.1 Habilitation as the Last Hurdle
67(4)
4.2 Noether's Attempt to Habilitate
71(12)
5 Noether's Early Contributions to Modern Algebra
83(18)
5.1 On the Rise of Abstract Algebra
83(1)
5.2 Van der Waerden in Gottingen
84(6)
5.3 Pavel Alexandrov and Pavel Urysohn
90(3)
5.4 Urysohn's Tragic Death
93(2)
5.5 Helping a Needy Friend
95(6)
6 Noether's International School in Modern Algebra
101(22)
6.1 Mathematics at "The Klie"
101(4)
6.2 The Takagi Connection
105(2)
6.3 Bologna ICM and Semester in Moscow
107(3)
6.4 Helmut Hasse and the Marburg Connection
110(2)
6.5 Takagi and Class Field Theory
112(2)
6.6 Collaboration with Hasse and Brauer
114(3)
6.7 Noether's "Wish List" for Favorite Foreigners
117(4)
6.8 Paul Dubreil and the French Connection
121(2)
7 Emmy Noether's Triumphal Years
123(28)
7.1 The Marburg "Schiefkongress"
123(3)
7.2 Rockefeller and the IEB Program
126(3)
7.3 Birth of the Brauer-Hasse-Noether Theorem
129(6)
7.4 Editing the Works of Dedekind and Hilbert
135(5)
7.5 Olga Taussky on Hilbert's 70th Birthday
140(5)
7.6 Zurich ICM in 1932
145(6)
8 Cast out of her Country
151(22)
8.1 Dark Clouds over Gottingen
151(5)
8.2 First Wave of Dismissals
156(3)
8.3 Hasse's Campaign for Noether
159(14)
9 Emmy Noether in Bryn Mawr
173(42)
9.1 Bryn Mawr College and Algebra in the United States
173(5)
9.2 Emmy Noether's New Home
178(8)
9.3 Emmy's Efforts on behalf of Fritz Noether
186(8)
9.4 Last Visit in Gottingen
194(6)
9.5 Lecturer at Princeton's Institute for Advanced Study
200(9)
9.6 Emmy Noether's Tragic Death
209(6)
Bibliography 215(19)
Name Index 234
David E. Rowe is professor emeritus for history of mathematics and natural sciences at Mainz University. He is the author of A Richer Picture of Mathematics: The Göttingen Tradition and Beyond, Springer, 2018. Mechthild Koreuber is the chief gender equality officer of Freie Universität Berlin and a historian of mathematics. She is the author of Emmy Noether, die Noether-Schule und die moderne Algebra: Zur Geschichte einer kulturellen Bewegung, Springer Spektrum, 2015

Both served as scientific advisors to portraittheater Vienna for the play "Diving into Math with Emmy Noether."
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