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Download PDF by Bruno Belhoste: Augustin-Louis Cauchy: A Biography

By Bruno Belhoste

ISBN-10: 1461229960

ISBN-13: 9781461229964

ISBN-10: 1461277523

ISBN-13: 9781461277521

A nice trouble dealing with a biographer of Cauchy is that of delineating the curious interaction among the fellow, his instances, and his medical endeavors. Professor Belhoste has succeeded admirably in assembly this problem and has hence written a shiny biography that's either readable and informative. His topic sticks out as probably the most superb, flexible, and prolific fig ures within the annals of technological know-how. approximately 200 years have now handed because the younger Cauchy set approximately his activity of clarifying arithmetic, extending it, using it at any place attainable, and putting it on a company theoretical footing. via Belhoste's paintings we're afforded an in depth, fairly customized photo of ways a primary expense mathematician labored at his self-discipline - his strivings, his inspirations, his triumphs, his disasters, and chiefly, his conflicts and his errors.

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Example text

As to the form of proof that I used, I think it would be not only difficult to change it, but downright impossible. The reason is that until now a geometric argument has not been given, except in terms of reductio ad absurdum, of the theorem that in 2-dimensional geometry is analogous to the one in 3-dimensional geometry that I dealt with: I 27 2. I. '1 ) l ':. 7_ .... ~t. "4'..... { Title page of the manuscript of the paper on the polygons and polyhedrons. January 20, 1812. Published by permission of the Ecole Poly technique.

The fact is that its forward location on the sea lanes through the Channel offers everything we need either for maximum surveillance of the enemy or for harassing its convoys or, finally, for assembling all the details necessary for a major military expedition. The Cherbourg roadstead, with its excellent anchor hold, is equally favorable for the arrival and departure of vessels, no matter the winds and tides. This location has vast anchoring and docking space and is susceptible to all kinds of methods of attack and of protection and defense.

One point, however, is a letter dated January 12, 1814, in which LouisFranc;ois declared to Baron Costaz, the Directeur General of the Ponts et Chaussees, that his son's health was 'profoundly altered by the heavy burdens he had to bear during the three years he spent at Cherbourg' (34). Both remarks are somewhat misleading, for the illness seems to have been as much emotional as organic, with psychological overtones that were as pronounced as the physical ones. All available information on Cauchy's personality tends to support this hypothesis.

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Augustin-Louis Cauchy: A Biography by Bruno Belhoste

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