Böcker av Bernhard Riemann

Dieses Buch ist eine Untersuchung der Funktionen einer komplexen Veränderlichen. Der Autor, Bernhard Riemann, war ein bedeutender deutscher Mathematiker des 19. Jahrhunderts und einer der Begründer der modernen Mathematik. Das Werk bietet eine grundlegende Theorie der Funktionen einer komplexen Veränderlichen und ist ein Meilenstein in der komplexen Analysis.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Dieses Buch ist eine umfassende Sammlung der mathematischen Werke und wissenschaftlichen Nachlässe von Bernhard Riemann. Es enthält seine wichtigsten Arbeiten in der Zahlentheorie, Analysis, Differentialgeometrie und anderen Gebieten der Mathematik. Das Buch ist ein unverzichtbares Nachschlagewerk für Mathematiker, Physiker und Wissenschaftshistoriker und bietet einen Einblick in das Leben und Werk eines der bedeutendsten Mathematiker des 19. Jahrhunderts.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Great mathematicians write for the future and Georg Friedrich Bernhard Riemann (1826-66) was one of the greatest mathematicians of all time. Edited by Heinrich Martin Weber, with assistance from Richard Dedekind, this edition of his collected works in German first appeared in 1876. Riemann's interests ranged from pure mathematics to mathematical physics. He wrote a short paper on number theory which provided the key to the prime number theorem, and his zeta hypothesis has given mathematicians the most famous of today's unsolved problems. Moreover, his famous 1854 lecture 'On the hypotheses which underlie geometry' set in motion studies which culminated in Einstein's general theory of relativity. Even Riemann's over-optimistic use of the Dirichlet principle to prove the conformal mapping theorem turned out to be immensely fruitful. The alert reader will further profit from finding here the seeds of modern distribution theory, algebraic topology and measure theory.

This book presents William Clifford's English translation of Bernhard Riemann's classic text together with detailed mathematical, historical and philosophical commentary.

Printed in the original German, this highly prized, unabridged text of the complete works of the legendary mathematician includes 31 monographs, 3 complete lecture courses, and 15 miscellaneous papers. Major influences on Einstein, de Sitter, Dirac, and others, they include epoch-making works on Abelian functions, non-Euclidean geometry, and other mathematical topics.