WorldCat Identities

Pieper, Herbert

Overview
Works: 71 works in 215 publications in 2 languages and 1,128 library holdings
Genres: History  Records and correspondence  Conference papers and proceedings  Biography  Popular works 
Roles: Author, Editor, Translator, Author of introduction
Classifications: QA241, 512.709
Publication Timeline
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Most widely held works by Herbert Pieper
Zahlen aus Primzahlen by Herbert Pieper( Book )

32 editions published between 1974 and 1991 in German and Undetermined and held by 180 WorldCat member libraries worldwide

Variationen über ein zahlentheoretisches Thema von Carl Friedrich Gauss by Herbert Pieper( Book )

20 editions published between 1977 and 2014 in German and English and held by 178 WorldCat member libraries worldwide

Entwicklungsgesetzen der Mathematik an einem ganz konkreten Beispiel nachzuspiiren ist del' Sinn dieses Buches, das dem 200. Geburtstag von CARL FRIEDRICH GAUSS gewidmet ist. Das Beispiel ist das Reziprozitats gesetz der quadratischen Reste, das GAUSS - wie schon einige seiner Vorganger - aus einem groBen Zahlenmaterial vermutungsweise ablas, aber als erster gleichsam mit Gewalt durch vollstandige Induktion verifi zierte, ohne damit dem "Wesen" dieser eigenartigen GesetzmaBigkeit naherzukommen. Die nachsten Stufen der Entwicklung tiirmte GAUSS iiber-und nebeneinander mit der Absicht, durch moglichst verschieden artige Beweismethoden (GauBsches Lemma, Einordnung in die GauBsche Theorie der quadratischen Formen und der Kreisteilung), Erweiterung des Themas (kubische und biquadratische Reste) und des Zahlenbereiches (ganze GauBsche Zahlen) den Weg zu allgemeinen GesetzmaBigkeiten zu eroffnen. Die Arbeit vieler groBer Mathematiker nach GAUSS war notig, um den Weg bis zu einem Gipfel zu verfolgen: Als allgemeiner Rahmen bildete sich die algebraische Zahlentheorie heraus und darin die Klassen korpertheorie, die 1927 mit ARTINS allgemeinem Reziprozitatsgesetz ihren Hohepunkt erreichte. Damit war die GauBsche Vermutung bestatigt, da das quadratische Reziprozitatsgesetz jetzt nur noch als besonders ein facher Spezialfall des Artinschen Reziprozitatsgesetzes erscheint. 1m vollen Umfang konnte diese etwa 130jahrige Entwicklung in diesem Buch natiirlich nicht dargestellt werden, um so ausfiihrlicher dafiir aber die einigermaBen elementaren Teile des Beitrages, den GAUSS als Weg bereiter der Reziprozitatsgesetze geleistet hat, womit er zum Pionier der modernen algebraischen Zahlentheorie geworden ist
Die komplexen Zahlen : Theorie, Praxis, Geschichte ; mit 8 Tabellen by Herbert Pieper( Book )

22 editions published between 1983 and 1999 in German and Undetermined and held by 120 WorldCat member libraries worldwide

Briefwechsel zwischen Alexander von Humboldt und C.G. Jacob Jacobi by Alexander von Humboldt( Book )

7 editions published in 1987 in German and held by 87 WorldCat member libraries worldwide

Heureka - ich hab's gefunden : 55 historische Aufgaben der Elementarmathematik ; mit Lösungen by Herbert Pieper( Book )

10 editions published between 1988 and 1996 in German and held by 72 WorldCat member libraries worldwide

Korrespondenz Adrien-Marie Legendre--Carl Gustav Jacob Jacobi = Correspondance mathematique entre Legendre et Jacobi : mit dem Essay "C.G.J. Jacobi in Berlin" by A. M Legendre( Book )

8 editions published in 1998 in 3 languages and held by 57 WorldCat member libraries worldwide

Zahlentheorie : ausgewählte Methoden und Ergebnisse by Helmut Koch( Book )

8 editions published in 1976 in German and held by 54 WorldCat member libraries worldwide

Alexander von Humboldt in Berlin : sein Einfluss auf die Entwicklung der Wissenschaften : Beiträge zu einem Symposium( Book )

3 editions published in 2003 in German and held by 43 WorldCat member libraries worldwide

Number theory : an approach through history from Hammurapi to Legendre by Andr Weil( Book )

3 editions published in 1992 in German and held by 35 WorldCat member libraries worldwide

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematics." Indeed some of the most complex conventions of the mathematical mind have evolved from the study of basic problems of number theory. André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirty-six centuries of arithmetical work -- from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre's Essai sur la Théorie des Nombres (1798). Motivated by a desire to present the substance of his field to the educated reader, Weil employs an historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. In the course of his study Weil accompanies the reader into the workshops of four major authors of modern number theory (Fermat, Euler, Lagrange and Legendre) and there he conducts a detailed and critical examination of their work. Enriched by a broad coverage of intellectual history, Number Theory represents a major contribution to the understanding of our cultural heritage. -- A very unusual book combining thorough philological exactness, keen observation, apt comments of the essential points, picturesque fantasy, enthusiastic love of the subject, and brilliant literary style: a romantic novel of documents. It is both number theory and its history in an inseparable oneness, helping us understand the very roots and the first big stage of progress of this discipline. The author, one of the most prominent number theorists...chose to give us a broad perspective of the birth of modern number theory.--Periodica Mathematica Hungaria The volume under review...a discursive, expository, leisurely peek over the shoulders of several great authors in number theory...is perhaps unique in the enthusiasm it has inspired. --Mathematical Reviews
Zahlentheorie : ausgew. Methoden u. Ergebnisse by Helmut Koch( Book )

7 editions published in 1976 in German and Undetermined and held by 28 WorldCat member libraries worldwide

Netzwerk des Wissens und Diplomatie des Wohltuns : Berliner Mathematik, gefördert von A.v. Humboldt und C.F. Gauss by Herbert Pieper( Book )

3 editions published in 2004 in German and held by 24 WorldCat member libraries worldwide

Quadratur des Kreises und Transzendenz von [pi] by Gershon Ikhelevich Drinfelʹd( Book )

3 editions published in 1980 in German and held by 24 WorldCat member libraries worldwide

Die komplexen Zahlen : Theorie, Praxis, Geschichte ; mit 8 Tabellen by Herbert Pieper( Book )

2 editions published between 1984 and 1991 in German and held by 20 WorldCat member libraries worldwide

Vorlesungen über Zahlentheorie : Carl Gustav Jacob Jacobi ; Wintersemester 1836/37, Königsberg by C. G. J Jacobi( Book )

4 editions published between 2006 and 2007 in German and English and held by 17 WorldCat member libraries worldwide

Untersuchungen an wassergeschmierten Weichgummi-Gleitlagern by Herbert Pieper( Book )

3 editions published in 1968 in German and Undetermined and held by 16 WorldCat member libraries worldwide

Gott hat ihm den Geist Eulers gegeben: der Mathematiker Jacobi by Herbert Pieper( Book )

2 editions published in 2008 in German and held by 14 WorldCat member libraries worldwide

Der Anteil Alexander von Humboldts an der Herausbildung eines mathematischen Zentrums in Berlin : nach Vorträgen, gehalten am 24. November 2001 und am 26. April 2002 in Berlin by Herbert Pieper( Book )

3 editions published between 2002 and 2003 in German and held by 13 WorldCat member libraries worldwide

 
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Audience Level
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Audience level: 0.85 (from 0.43 for Number the ... to 0.95 for "Ungeheure ...)

Alternative Names
Pieper, H.

Pieper, H. (Herbert)

Languages
German (139)

English (4)