Sophie Germain

This biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and complex woman, the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived.

Sophie Germain stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of plate vibrations and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is the only woman who contributed to the proof of Fermat's Last Theorem.

In this unique biography, Dora Musielak has done the impossibleshe has chronicled Sophie Germain's brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate.

First comprehensive biography of French mathematician Sophie Germain describing her contributions to mathematics and her efforts to prove Fermat's Last Theorem Includes many lesser-known facts about Sophie Germain and her contemporaries, including Gauss, Legendre, Lagrange, Libri, Poisson, Fourier, and Cauchy. Fully referenced, this book offers a unique perspective on the scientific environment that flourished in nineteenth-century France

Autorentext
Dr. Dora Musielak is a Research Professor at the University of Texas-Arlington where she teaches advanced mathematics to doctoral students of science and engineering. She is a NASA Fellow and recipient of other honors. Passionate about the history of science, Dora Musielak is the author of Sophie's Diary, a mathematical novel published by the Mathematical Association of America (MAA), and The Princess and the Mathematician, short stories based on the exact sciences. In 2018 she published Euler Celestial Analysis, a biography of Leonhard Euler that highlights his contributions to mathematical astronomy.

Zusammenfassung

"The revised title and the book itself make the case that Sophie Germain was an extraordinary one-off, a remarkable woman who overcame incredibly unfair obstacles to achieve greatness, and paved the way for others. The documentary evidence discovered and synthesized here by Dora Musielak is far richer than I would have thought possible, and supports the title's claim that Sophie Germain was a 'Revolutionary Mathematician'." (Dora Musielak, MAA Reviews, November 7, 2020)

Inhalt

Unforgettable Childhood.- Lessons from l'École Polytechnique.- Sophie's Sublime Arithmetica.- Chladni and His Acoustic Experiments.- Euler and the Bernoullis.- Germain and Her Biharmonic Equation.- Experiments with Vibrating Plates.- Elasticity Theory After Germain.- Germain and Fermat's Last Theorem.- Pensées de Germain.- Friends, Rivals, and Mentors.- List of Illustrations.- The Last Years.- Unanswered Questions.- Princess of Mathematics.- Germain-Gauss Correspondence.- A Bibliography on Sophie Germain.- Illustration Credits.-Index.