Vorlesungen Über Zahlentheorie: Erster Band: Erste Bis Dreiunddreissigste Vorlesung

Name: Vorlesungen Über Zahlentheorie: Erster Band: Erste Bis Dreiunddreissigste Vorlesung
Brand: Springer
SKU: 9783642666773
Price: 4805.0 INR
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by L. Kronecker , K. Hensel , K. Hensel

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ISBN13: 9783642666773
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: December 29, 2011
Pages: 512
Original Price: EUR 65.41
Language: German
Edition: 1978
Item Weight: 708 grams
BISAC Subject(s): Number Theory

About The Book

Die drei Vorlesungen fiber Zahlentheorie, Determinantentheorie und Algebra bildeten den Hauptbestandteil der akademischen Vortrage Leopold Kroneckers an der Berliner Universitat, und ebenso hat sich seine wissenschaftliche Lebensarbeit zum grofsen Theile in diesen drei Gebieten bewegt. Schon in seiner Antrittsrede in der Berliner Akademie der Wissen- schaften sprach er aus, wie sehr ihn gerade diejenigen. Probleme resselten, welche der Arithmetik undder Algebra gemeint!am sind, und je weiter er selbst schaffend in seiner Wissenschaft vordrang, desto deutlicher wurde ihm der enge Zusammenhang zwischen diesen beiden grorsen Disziplinen und die Notwendigkeit, sie aus den, gleichen Ge- sichtspunkten zu behandeln. So wurde auch bei jeder Wiederholung die Verbindung zwischen jenen drei V orlesungen eine engere, und zu- letzt empfand er es als innere Notwendigkeit, sie in einen Cyklus 'zu vereinigen, dem er den zusammenfassenden Namen "Dber allgemeine U Arithmetik gab. In seinen V orlesungen wollteKronecker eine Darstellung jener Disziplinen gaben, welche aUe wesentlichen gesicherten Ergebnisse der Forschung bis zur Gegenwart zu einem einheitlichen organisch geglie- derten Ganzen, zusammenfafst. So ergab sich mit N otwendigkeit eine Anordnung des Stoffes, welche in vielen Fallen von der durch die historische Entwickelung bedingten wesentlich verschieden war. Be- sonders, mufsten die Prinzipien, welche im neunzehnten Jahrhundert erst spater fur die Wissenscha. ft bestimmend hinzutraten, schon im An- fange entwickelt werden, wohin, sie ihrer Natur und Bedeutung nach gehorten, wiihrendsiesonst vielfach erst dann hinzugezogen wurden, wenn die aus' Ihnen abzuleitenden Folgerungen dargesteUt werden sollten.

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