Download e-book for iPad: 80 Years of Zentralblatt MATH: 80 Footprints of by Olaf Teschke, Bernd Wegner, Dirk Werner

By Olaf Teschke, Bernd Wegner, Dirk Werner

Founded in 1931 by way of Otto Neugebauer because the revealed documentation provider "Zentralblatt für Mathematik und ihre Grenzgebiete"', Zentralblatt celebrates its eightieth anniversary in 2011 because the such a lot accomplished reference database around the world, now less than the recent identify ZBMATH.

Several famous mathematicians were occupied with this provider as reviewers or editors. Zentralblatt has coated their paintings as part of its common documentation actions, facing all mathematicians around the world. All mathematicians have left their footprints in Zentralblatt, in a protracted record of entries describing all in their study courses in mathematics.

This e-book presents one assessment from all the eighty years of Zentralblatt, in general hooked up with a well-known mathematician regarding Zentralblatt as a member of the editorial board or as a reviewer. Names like Courant, Kolmogorov, Hardy, Hirzebruch, Faltings etc are available the following. as well as the unique studies, the publication bargains the authors' profiles indicating their co-authors, their favorite journals and the time span in their e-book activities.

In addition to this, a generously illustrated essay by way of Silke Göbel describes the historical past of Zentralblatt.

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1912 gegebene Formulierung des Prinzips der Erhaltung der Anzahl näher begründet und der Begriff der virtuellen Schnittpunktszahl zweier Mannigfaltigkeiten Vk , Wr−k in Mr erklärt. 09701 Neugebauer, Otto Vorlesungen über Geschichte der antiken mathematischen Wissenschaften. Band 1. Vorgriechische Mathematik. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. 43. Berlin: Julius Springer. , 61 Fig. (1934). Die Absicht des auf drei Teile berechneten Werkes besteht einerseits in der Darstellung der vorgriechischen Mathematik, andererseits in der Rekonstruktion der voreuklidischen Periode der griechischen sowie der klassischen griechischen Mathematik und der babylonischen und griechischen Astronomie.

Comunque sia, il notevole libro di vàn der Waerden agevolerà senza dubbio la conoscenza dei metodi della scuola italiana e coopererà ad una reciproca comprensione tra i geometri italiani e gli algebristi tedeschi, assolvendo cosíun compito di grande importanza. Passiamo ad un rapido esame del contenuto del volume, che consta di 9 eapitoli. Il cap. I e dedicato alla geometria proiettiva degli spazi ad n dimensioni: contiene le generalità sugli spazi proiettivi complessi, lo studio delle trasformazioni proiettive, le coordinate plückeriane, il concetto di geometria astratta.

Sie versagt, wenn Vk , Wrk nicht dem Sr , sondern einer Mannigfaltigkeit Mr des Raumes Sd angehören, wobei P kein singulärer Punkt von Mr sein darf. Verfasser gibt für diesen Fall statt der topologischen Definition von Lefschetz und dem Referenten die folgende geometrische Definition: Man betrachte eine 24 Mannigfaltigkeit H = V + V in M, derart, daß Y nicht durch P geht und H in einer kontinuierlichen Familie enthalten ist, deren allgemeine Mannigfaltigkeit H mit W in der Umgebung von P nur einfache Schnitte besitzt, und definiere die Vielfachheit von P wie oben durch den Grenzübergang H → H kann.

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