By Eberhard Knobloch (auth.), Prof. Heinrich Begehr, Helmut Koch, Jürg Kramer, Norbert Schappacher, Ernst-Jochen Thiele (eds.)

This little publication is conceived as a provider to mathematicians attending the 1998 foreign Congress of Mathematicians in Berlin. It provides a entire, condensed evaluation of mathematical job in Berlin, from Leibniz virtually to the current day (without, although, together with biographies of residing mathematicians). due to the fact many towering figures in mathematical historical past labored in Berlin, many of the chapters of this ebook are concise biographies. those are held jointly via a number of survey articles featuring the general improvement of whole sessions of clinical existence at Berlin. Overlaps among numerous chapters and ameliorations well-liked among the chap ters have been inevitable, yet occasionally this supplied possibilities to teach diversified features of a unmarried ancient occasion - for example, the Kronecker-Weierstrass con troversy. The publication goals at clarity instead of scholarly completeness. There aren't any footnotes, purely references to the person bibliographies of every bankruptcy. nonetheless, we do wish that the texts introduced jointly right here, and written by way of many of the authors for this quantity, represent an excellent advent to the background of Berlin mathematics.

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This little booklet is conceived as a carrier to mathematicians attending the 1998 overseas Congress of Mathematicians in Berlin. It offers a complete, condensed evaluation of mathematical task in Berlin, from Leibniz nearly to the current day (without, even though, together with biographies of dwelling mathematicians).

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9] Pieper, H, Jacobi in Berlin, in: Die Entwicklung Berlins als Wissenschaftszentrum (1870-1930), Beitriige einer Kolloquienreihe Teil IV, Institut fiir Theorie, Geschichte und Organisation der Wissenschaften der AdW der DDR, Heft 30 (1982), 1-35. [10] Pieper, H, Jacobis Bemiihungen urn die Herausgabe Eulerscher Schriften und Briefe, Wiss. -Nat. Reihe 20 (1984), 78-98. G. Jacob Jacobi, Beitriige zur Alexander-von-Humboldt-Forschung, Berlin, 1987. J. E. Kummer, NTM-Schriftenreihe fiir Geschichte der Naturwissenschaften, Technik und Medizin 25 (1988), 23-36.

This correspondence provides insight into the famous mathematical competition between Jacobi and Abel related to the development of the theory of elliptic functions, the inverse functions of the elliptic integrals. The theory of elliptic integrals was created in the 18th century by L. Euler, who initiated this theory after having received a copy of Fagnano's work on December 23rd, 1751, a date which Jacobi later called the birthday of the theory of elliptic functions (see [2], p. 23). Elliptic integrals had also been one of Legendre's favourite objects of study since 1786.

10] Pieper, H, Jacobis Bemiihungen urn die Herausgabe Eulerscher Schriften und Briefe, Wiss. -Nat. Reihe 20 (1984), 78-98. G. Jacob Jacobi, Beitriige zur Alexander-von-Humboldt-Forschung, Berlin, 1987. J. E. Kummer, NTM-Schriftenreihe fiir Geschichte der Naturwissenschaften, Technik und Medizin 25 (1988), 23-36. G. , Neree, D. v. ), Die Albertus-Universitiit zu Konigsberg und ihre Professoren, Aus AniaB der Griindung der Albertus-Universitiit vor 4i10 Jahren, Berlin, 1995, 473--488. 48 H. Pieper [14] Pieper, H.