Erwin Neuenschwander

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Erwin Alfred Neuenschwander (born June 25, 1942 in Zurich ) is a Swiss mathematician .

Life

Neuenschwander studied mathematics, physics and crystallography in Zurich. In addition, he dealt with biology, chemistry, geography as well as history and philosophy. In 1969 he received his diploma in mathematics. He received his doctorate in 1972 under Bartel Leendert van der Waerden at the University of Zurich ( The first four books of the elements of Euclid: Investigations into the mathematical structure, the citation method and the history of origin. ) In the early 1980s he was at Harvard University and in the 1980s with Detlef Laugwitz at the TH Darmstadt. He has been adjunct professor and lecturer at the University of Zurich since 1995 .

Neuenschwander mainly dealt with Euclid and the history of function theory ( Bernhard Riemann , Felice Casorati , Karl Weierstrass ). He found that Riemann already integrated elements of the competing power series school of the function theory of Weierstrass and Cauchy in his lectures and that this did not happen much later. To this end, he systematically examined the lecture notes of students from Riemann and published some of them. With Laugwitz he found that Riemann used Cauchy-Hadamard's formula in his lectures in 1856 , and that it had not been completely forgotten since Cauchy's first publication in 1821 until Jacques Hadamard .

Fonts

  • Riemann's introduction to function theory. Vandenhoeck & Ruprecht, Göttingen 1996, ISBN 978-3-525-82121-3 .
  • Studies in the history of complex function theory I: The Casorati-Weierstrass Theorem. In: Historia Mathematica. Vol. 5, 1978, pp. 139-166.
  • Studies in the history of complex function theory II: Interactions among the French school, Riemann, and Weierstrass. In: Bulletin of the American Mathematical Society. 1981, pp. 87-105 ( online ).
  • Riemann and the "Weierstrasse" principle of analytical continuation through power series. In: Annual report of the German Mathematicians Association. Vol. 82, 1980, pp. 1-11.
  • About the interactions between the French school, Riemann and Weierstrass. A review with two source studies , Archive for History of Exact Sciences, Volume 24, 1981, pp. 221-255
  • Section Switzerland. In: Joseph W. Dauben, Christoph J. Scriba: Writing the history of mathematics. Birkhäuser, Basel 2002, ISBN 978-3764361679 .
  • The first four books of Euclid's elements , Archive for the History of Exact Sciences, Volume 9, 1973, pp. 325-380
  • The Stereometric Books of Euclid's Elements , Archives for the History of Exact Sciences, Volume 14, 1975, pp. 91-125
  • Riemann's lectures on function theory. General part , preprint 1086, Department of Mathematics TH Darmstadt 1987

literature

Web links

Individual evidence

  1. ↑ Detlef Laugwitz, Erwin Neuenschwander, Riemann and the Cauchy-Hadamard formula for the convergence of power series, Historia Mathematica, Volume 21, 1994, pp. 64-70
personal data
SURNAME Neuenschwander, Erwin
ALTERNATIVE NAMES Neuenschwander, Erwin Alfred (full name)
BRIEF DESCRIPTION Swiss mathematician
DATE OF BIRTH June 25, 1942
PLACE OF BIRTH Zurich