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Sophie Germain : revolutionary mathematician / Dora Musielak.

By: Musielak, Dora.
Material type: TextTextSeries: Springer biographies: Publisher: Cham : Springer, 2020Edition: 2nd ed.Description: xvii, 254 pages: E 69.99 photos (b&w); 24 cms.Content type: text Media type: computer Carrier type: online resourceSubject(s): Germain, Sophie, 1776-1831 | Germain, Sophie, 1776-1831 | Women mathematicians -- Biography | Women mathematiciansGenre/Form: Electronic books. | Electronic books.DDC classification: 510.92
Contents:
Intro -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgements -- Contents -- 1 Unforgettable Childhood -- Primary Education -- Revolutionary Mathematicians -- Coming of Age Through the Terror -- Institut de France: Science Above All -- 2 Lessons from l'École Polytechnique -- Lagrange's Lecture Notes 1797-1799 -- M. LeBlanc Metamorphoses into Mlle Germain -- A Young Scholar Emerges -- 3 Sophie's Sublime Arithmetica -- Number Theory: From Diophantus to Gauss -- Sophie Germain and Carl Friedrich Gauss -- How Napoléon's Invasion Led to Unmasking M. Le Blanc
Sophie Germain Tackles the Law of Quadratic Reciprocity -- Gauss: Mathematical Astronomer -- Gauss and Legendre: A Matter of Priority -- 4 Chladni and His Acoustic Experiments -- The Prize of Mathematics, 1809 -- 5 Euler and the Bernoullis -- Euler and the Mechanics of Elastic Bodies -- Foundation of Elasticity Theories -- Sound and Vibrating Bodies -- 6 Germain and Her Biharmonic Equation -- First Hypothesis -- Second Attempt: More Disappointment -- Paris in 1814 -- Winning the Grand Prix de Mathématiques -- Confronting a Rival -- The Germain-Lagrange Equation
7 Experiments with Vibrating Plates -- Sophie Germain's Experimental Research -- 8 Elasticity Theory After Germain -- Navier's Bending Equation -- Cauchy and His Mathematical Formalism -- Poisson and an Incorrect Prediction -- Poisson-Germain-Navier Public Dispute -- Kirchhoff's Plate Theory -- Ritz Method to Model Chladni's Plates -- 9 Germain and Fermat's Last Theorem -- Pierre de Fermat -- Euler and Fermat's Theorems -- Legendre Proposes a Contest to Prove FLT -- Sophie Germain's Theorem -- Unexpected Revelation -- Germain's Research to Prove Fermat's Last Theorem
Fermat's Last Theorem After Germain -- The Fermat-Wiles Theorem -- Unsolved Problems in Number Theory -- 10 Pensées de Germain -- 11 Friends, Rivals, and Mentors -- Introduction -- Carl Friedrich Gauss (1777-1855) -- Joseph-Louis Lagrange (1736-1813) -- Adrien-Marie Legendre (1752-1833) -- Jean-Baptiste-Joseph Fourier (1768-1830) -- Siméon-Denis Poisson (1781-1840) -- Claude-Louis-Marie-Henri Navier (1785-1836) -- Jean-Baptiste Joseph Delambre (1749-1822) -- Augustin-Louis Cauchy (1789-1857) -- Guglielmo Libri, Count de Bagnano (1803-1869) -- Leonhard Euler (1707-1783)
Archimedes of Syracuse (c. 287-212 B.C.) -- 12 The Last Years -- Reaching Out to Gauss, One Last Time -- Glorious Summer of 1830 -- Germain's Last Publications -- 13 Unanswered Questions -- 14 Princess of Mathematics -- Women and Science Education -- Sophie Germain Legacy -- Germain-Gauss Correspondance -- Sophie Germain Timeline -- Illustration Credits -- Bibliography -- Index
List(s) this item appears in: 2021-07-26

Intro -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgements -- Contents -- 1 Unforgettable Childhood -- Primary Education -- Revolutionary Mathematicians -- Coming of Age Through the Terror -- Institut de France: Science Above All -- 2 Lessons from l'École Polytechnique -- Lagrange's Lecture Notes 1797-1799 -- M. LeBlanc Metamorphoses into Mlle Germain -- A Young Scholar Emerges -- 3 Sophie's Sublime Arithmetica -- Number Theory: From Diophantus to Gauss -- Sophie Germain and Carl Friedrich Gauss -- How Napoléon's Invasion Led to Unmasking M. Le Blanc

Sophie Germain Tackles the Law of Quadratic Reciprocity -- Gauss: Mathematical Astronomer -- Gauss and Legendre: A Matter of Priority -- 4 Chladni and His Acoustic Experiments -- The Prize of Mathematics, 1809 -- 5 Euler and the Bernoullis -- Euler and the Mechanics of Elastic Bodies -- Foundation of Elasticity Theories -- Sound and Vibrating Bodies -- 6 Germain and Her Biharmonic Equation -- First Hypothesis -- Second Attempt: More Disappointment -- Paris in 1814 -- Winning the Grand Prix de Mathématiques -- Confronting a Rival -- The Germain-Lagrange Equation

7 Experiments with Vibrating Plates -- Sophie Germain's Experimental Research -- 8 Elasticity Theory After Germain -- Navier's Bending Equation -- Cauchy and His Mathematical Formalism -- Poisson and an Incorrect Prediction -- Poisson-Germain-Navier Public Dispute -- Kirchhoff's Plate Theory -- Ritz Method to Model Chladni's Plates -- 9 Germain and Fermat's Last Theorem -- Pierre de Fermat -- Euler and Fermat's Theorems -- Legendre Proposes a Contest to Prove FLT -- Sophie Germain's Theorem -- Unexpected Revelation -- Germain's Research to Prove Fermat's Last Theorem

Fermat's Last Theorem After Germain -- The Fermat-Wiles Theorem -- Unsolved Problems in Number Theory -- 10 Pensées de Germain -- 11 Friends, Rivals, and Mentors -- Introduction -- Carl Friedrich Gauss (1777-1855) -- Joseph-Louis Lagrange (1736-1813) -- Adrien-Marie Legendre (1752-1833) -- Jean-Baptiste-Joseph Fourier (1768-1830) -- Siméon-Denis Poisson (1781-1840) -- Claude-Louis-Marie-Henri Navier (1785-1836) -- Jean-Baptiste Joseph Delambre (1749-1822) -- Augustin-Louis Cauchy (1789-1857) -- Guglielmo Libri, Count de Bagnano (1803-1869) -- Leonhard Euler (1707-1783)

Archimedes of Syracuse (c. 287-212 B.C.) -- 12 The Last Years -- Reaching Out to Gauss, One Last Time -- Glorious Summer of 1830 -- Germain's Last Publications -- 13 Unanswered Questions -- 14 Princess of Mathematics -- Women and Science Education -- Sophie Germain Legacy -- Germain-Gauss Correspondance -- Sophie Germain Timeline -- Illustration Credits -- Bibliography -- Index

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