New PDF release: Bernhard Riemann 1826-1866: Turning Points in the Conception

By Detlef Laugwitz

ISBN-10: 0817647767

ISBN-13: 9780817647766

The identify of Bernard Riemann is widely known to mathematicians and physicists around the globe. His identify is indelibly stamped at the literature of arithmetic and physics. This outstanding paintings, wealthy in perception and scholarship, is addressed to mathematicians, physicists, and philosophers drawn to arithmetic. It seeks to attract these readers towards the underlying principles of Riemann’s paintings and to the advance of them of their ancient context. This illuminating English-language model of the unique German version may be an enormous contribution to the literature of the historical past of arithmetic.

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Additional resources for Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics

Sample text

The houses of middle-class citizens and the city hall, rebuilt in the 18th century, also attest to the wealth of this Hanseatic town in the 14th century. Commerce flourished. The crane at the river port reminds one of that time. The main commercial product was salt. Salt production and the salt trade, as well as staple rights and compulsory transshipment rights, secured for the city a kind of economic independence. Lfineburg was granted city rights by Henry the Lion (Heinrich der L6we) (1129-1195).

What is peculiar in him, he never sees his audience when he does not use the blackboard at which time his back is turned to us, he sits at the high desk facing us, puts his spectacles up on his forehead, leans his head on both hands, and keeps his eyes, when not covered with his hands, mostly shut. He uses no notes, inside his hands he sees an imaginary calculation, and reads it out to u s - that we understand it as well as if we too saw it. " The reader is not likely to have heard of Hirst and so we wish to point out that he was not devoid of importance.

But it seems that there was not much chance for direct collaboration between the sociable younger man and his introvert friend. In due course we will discuss their different views of mathematics, but first we must sketch the course of events insofar as the G6ttingen mathematicians are concerned. Gauss died on 23 February 1855 and Dirichlet was very quickly appointed his mathematical successor. His wife Rebecka, sister of Felix MendelssohnBartholdy, with whom, incidentally, Dirichlet was on very good terms, tried to bring to G6ttingen some of the atmosphere of the Berlin salons.

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Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics by Detlef Laugwitz

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