MATH 5400, History of Mathematics Lecture 14: Dawn of the 19th Century Professor: Peter Gibson York University February 5, 2013 The Age of Enlightenment was a precursor to radical political developments in France (and elsewhere) toward the end of the 18th century. P. Gibson (York U) Math 5400 5.2.2013 2 / 12 P. Gibson (York U) Math 5400 5.2.2013 3 / 12 The French Revolution changed completely the political landscape. the Tennis Court Oath, followed by the storming of the Bastille (1789) P. Gibson (York U) Math 5400 5.2.2013 4 / 12 The French Revolution changed completely the political landscape. the Tennis Court Oath, followed by the storming of the Bastille (1789) the execution of Louis XVI (1793) P. Gibson (York U) Math 5400 5.2.2013 4 / 12 The French Revolution changed completely the political landscape. the Tennis Court Oath, followed by the storming of the Bastille (1789) the execution of Louis XVI (1793) the Reign of Terror (1793-1794) P. Gibson (York U) Math 5400 5.2.2013 4 / 12 The French Revolution changed completely the political landscape. the Tennis Court Oath, followed by the storming of the Bastille (1789) the execution of Louis XVI (1793) the Reign of Terror (1793-1794) military adventures outside of France P. Gibson (York U) Math 5400 5.2.2013 4 / 12 The French Revolution changed completely the political landscape. the Tennis Court Oath, followed by the storming of the Bastille (1789) the execution of Louis XVI (1793) the Reign of Terror (1793-1794) military adventures outside of France coup détat by Napolean Bonaparte (1799) P. Gibson (York U) Math 5400 5.2.2013 4 / 12 P. Gibson (York U) Math 5400 5.2.2013 5 / 12 Napoleon, who was in power from 1799-1815 conquered much of Europe P. Gibson (York U) Math 5400 5.2.2013 6 / 12 Napoleon suffered a defeat in 1812 on the Russian front. In 1814, after further defeats, he abdicated and was exiled to Elba. He escaped, returned to Marseille, and regained power before finally being defeated at Waterloo by a coalition of British and Prussian forces. He was then exiled to St. Helena, where he died in 1821. P. Gibson (York U) Math 5400 5.2.2013 7 / 12 Despite the political turmoil, French mathematics flourished. P. Gibson (York U) Math 5400 5.2.2013 8 / 12 Despite the political turmoil, French mathematics flourished. For example, Augustin-Louis Cauchy (1789-1857) was born in the year of the Revolution. P. Gibson (York U) Math 5400 5.2.2013 8 / 12 1810 was qualified as a junior engineer, went to work at Cherbourg, where he read mathematics in his spare time 1812 returned to Paris on sick leave Aside: 1815 marked the restoration of Louis XVIII 1816 elected member of the Paris Academy, in a somewhat poisened atmosphere; appointed Assiciate Professor at the Ecole Polytechnique Taught also at the Collège de France 1830 Cauchy left France following the revolutionary tumult 1838 return to France 1848 regained his academic posts P. Gibson (York U) Math 5400 5.2.2013 9 / 12 German developments In 1737, King George II opened the University of Göttingen. P. Gibson (York U) Math 5400 5.2.2013 10 / 12 The University of Göttingen was to become a major academic centre in the coming centuries. P. Gibson (York U) Math 5400 5.2.2013 11 / 12 The University of Göttingen was to become a major academic centre in the coming centuries. In 1807 the leading German mathematician of his day was appointed director of the observatory. P. Gibson (York U) Math 5400 5.2.2013 11 / 12 As a youth, Gauss was brought to the attention of the Duke of Brunswick, who later supported him. P. Gibson (York U) Math 5400 5.2.2013 12 / 12 As a youth, Gauss was brought to the attention of the Duke of Brunswick, who later supported him. He studied at the University of Göttingen (1795-1798), and then returned to Brunswick. P. Gibson (York U) Math 5400 5.2.2013 12 / 12 As a youth, Gauss was brought to the attention of the Duke of Brunswick, who later supported him. He studied at the University of Göttingen (1795-1798), and then returned to Brunswick. After the death of the Duke of Brunswick in 1807, Gauss was appointed director of the observatory at Göttingen, where he remained. P. Gibson (York U) Math 5400 5.2.2013 12 / 12
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