Read e-book online 80 Years of Zentralblatt MATH: 80 Footprints of PDF

By Olaf Teschke, Bernd Wegner, Dirk Werner

ISBN-10: 3642211712

ISBN-13: 9783642211713

Founded in 1931 via Otto Neugebauer because the published documentation carrier "Zentralblatt für Mathematik und ihre Grenzgebiete"', Zentralblatt celebrates its eightieth anniversary in 2011 because the such a lot finished reference database world wide, now less than the recent identify ZBMATH.

Several famous mathematicians were keen on this provider as reviewers or editors. Zentralblatt has coated their paintings as part of its normal documentation actions, facing all mathematicians around the globe. All mathematicians have left their footprints in Zentralblatt, in a protracted record of entries describing all in their learn guides in mathematics.

This ebook offers one assessment from all the eighty years of Zentralblatt, usually hooked up with a popular mathematician with regards to 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 experiences, the booklet bargains the authors' profiles indicating their co-authors, their favorite journals and the time span in their booklet activities.

In addition to this, a generously illustrated essay by means of Silke Göbel describes the heritage of Zentralblatt.

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Extra info for 80 Years of Zentralblatt MATH: 80 Footprints of Distinguished Mathematicians in Zentralblatt

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Bettische Zahlen von Nerven eines gegebenen Kompaktums K erlauben sog. Bettische N–Zahlen von K zu definieren. Insbesondere ist die (n − 1)-te Bettische N-Zahl einer kompakten Teilmenge K des n-dimensionalen Euklidischen 29 Raumes Rn von Bedeutung: Auf Grund des Zerlegungssatzes unterscheidet sich nämlich diese Zahl um 1 von der Anzahl der Komponenten von Rn \ K, was (selbst die quantitative) Invarianz des Schnittes, Jordan–Brouwerschen Satz, Gebietsinvarianz sowie eine Reihe von Sätzen über irreduzible Schnitte, Cantorsche Mannigfaltigkeiten usw.

Ihrer Grenzgebiete 3, No. 1, Berlin: Julius Springer. , 8 Fig. 01)] zum Beweis der Brunn-Minkowskischen Ungleichung für K und eine Kugel dar. Author profile: Author profile: 50 In diesem Zusammenhang sei noch auf einen Isoperimetriebeweis von F. Baebler [Arch. Math. 16203)] mittels der Steinerschen Symmetrisierung verwiesen, wo bezüglich K dieselben Voraussetzungen wie in der Dinghas–Schmidtschen Arbeit gemacht werden und wo ebenfalls wie dort die Kugel auch als einzige Lösung des isoperimetrischen Problems erkannt wird.

Sbornik 1, 242-252 (1947). Es seien ξr (t) (r = 1, 2, . . , n) komplexwertige Funktionen des reellen Argumentes t, das im folgenden als Zeit gedeutet werden kann. Wenn die gegebenen Funktionen periodisch oder allgemeiner fastperiodisch sind, können sie in der Form ar eiλrt (r = 1, 2, . . , n) (1) ξr (t) ∼ r dargestellt werden. Es erscheint dann als eine sinngemäße Verallgemeinerung des obigen Ansatzes, einen Grenzübergang von den diskreten zu kontinuierlich veränderlichen Frequenzen vorzunehmen, d.

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80 Years of Zentralblatt MATH: 80 Footprints of Distinguished Mathematicians in Zentralblatt by Olaf Teschke, Bernd Wegner, Dirk Werner


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