Heinrich Weber was a German mathematician whose main work was in algebra, number theory, analysis and applications of analysis to mathematical physics. He was born in Heidelberg on 5 March 1842 and died in Strasbourg on 17 May 1913. His textbook on algebra shaped how generations of students learned the subject, and his name is attached to the Kronecker-Weber theorem, which says that every abelian extension of the rational numbers lies inside a cyclotomic field. He was a prover and expositor of that theorem.
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Source Heinrich Martin Weber, Biography (MacTutor History of Mathematics)
Source Heinrich Martin Weber, Biography (MacTutor History of Mathematics)
Source Heinrich Martin Weber, Biography (MacTutor History of Mathematics)
Source Heinrich Martin Weber, Biography (MacTutor History of Mathematics)
Principal Result
Source Kronecker-Weber Theorem (Wikipedia)
Proofs Credited
Source Kronecker-Weber Theorem (Wikipedia)
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Source Heinrich Martin Weber, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Heinrich Weber was a German mathematician whose main work was in algebra, number theory, analysis and applications of analysis to mathematical physics.
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1. Heinrich Martin Weber, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Heinrich Weber was a German mathematician whose main work was in algebra, number theory, analysis and applications of analysis to mathematical physics.
2. Heinrich Martin Weber (Wikipedia)
Kronecker-Weber Theorem (Wikipedia)
Principal Result: Kronecker-Weber Theorem, Lead sentence of the article on the result
For example, 5 = e 2 π i / 5 − e 4 π i / 5 − e 6 π i / 5 + e 8 π i / 5 , {\displaystyle {\sqrt {5}}=e^{2\pi i/5}-e^{4\pi i/5}-e^{6\pi i/5}+e^{8\pi i/5},} − 3 = e 2 π i / 3 − e 4 π i / 3 , {\displaystyle {\sqrt {-3}}=e^{2\pi i/3}-e^{4\pi i/3},} and 3 = e π i / 6 − e 5 π i / 6 . {\displaystyle {\sqrt {3}}=e^{\pi i/6}-e^{5\pi i/6}.} The theorem is named after Leopold Kronecker and Heinrich Martin Weber.
Proofs Credited: Kronecker-Weber Theorem, Lead
The theorem is named after Leopold Kronecker and Heinrich Martin Weber.
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