The Collected Works of Bernhard Riemann (Dover Books on Mathematics) - Softcover

Riemann, Bernhard

Softcover

ISBN 10: 048681243X ISBN 13: 9780486812434

Publisher: Dover Publications, 2017

Synopsis

This unabridged text of the complete works of Bernhard Riemann enables German-language readers to examine the great mathematician's revolutionary concepts exactly as he set them down. The collection presents both the 1892 edition of the works, edited by R. Dedekind and H. Weber, and the 1902 supplement, edited by M. Noether and W. Wirtinger. Contents include 31 monographs, three complete lecture courses, and 15 miscellaneous papers. The selections feature Riemann's epoch-making papers on Abelian functions, representation of a function by trigonometrical series, non-Euclidean geometry, the study of space, conformal mapping, number theory, topology, and other mathematical topics.
As Dirk Jan Struik noted in his Concise History of Mathematics, "With Bernhard Riemann, Dirichlet's successor at Goettingen, we reach the man who more than any other influenced the course of modern mathematics." Indeed, many of these papers had a profound impact on the work of Einstein, de Sitter, Minkowski, Heisenberg, Dirac, and other outstanding mathematicians and physicists. This edition features an English-language introduction by Professor Hans Lewy of Stanford University.

About this title

About the Author

One of the most influential mathematicians of his era, Georg Friedrich Bernhard Riemann (1826–1866) made profound contributions to several areas of mathematics, including analysis, number theory, and differential geometry. His work in the field of differential geometry established the mathematics of general relativity.

From the Back Cover

This unabridged text of the complete works of Bernhard Riemann enables German-language readers to examine the great mathematician's revolutionary concepts exactly as he set them down. The collection presents both the 1892 edition of the works, edited by R. Dedekind and H. Weber, and the 1902 supplement, edited by M. Noether and W. Wirtinger. Contents include 31 monographs, three complete lecture courses, and 15 miscellaneous papers. The selections feature Riemann's epoch-making papers on Abelian functions, representation of a function by trigonometrical series, non-Euclidean geometry, the study of space, conformal mapping, number theory, topology, and other mathematical topics.
As Dirk Jan Struik noted in his Concise History of Mathematics, "With Bernhard Riemann, Dirichlet's successor at Goettingen, we reach the man who more than any other influenced the course of modern mathematics." Indeed, many of these papers had a profound impact on the work of Einstein, de Sitter, Minkowski, Heisenberg, Dirac, and other outstanding mathematicians and physicists. This edition features an English-language introduction by Professor Hans Lewy of Stanford University.
Dover (2017) republication of the second edition of Bernhard Riemann's Gesammelte Mathematische Werke, published in 1892, and the Supplement (Nachträge), published in 1902.
www.doverpublications.com

Edition details

• Publisher: Dover Publications
• Publication date: 2017
• Language: English
• ISBN 10: 048681243X
• ISBN 13: 9780486812434
• Binding: Paperback
• Number of pages: 704
• Editor: Weber Heinrich