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A01=Heinrich Weber
A01=Richard Dedekind
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Author_Heinrich Weber
Author_Richard Dedekind
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Category1=Non-Fiction
Category=PBH
COP=United States
Delivery_Delivery within 10-20 working days
Language_English
PA=Available
Price_€100 and above
PS=Active
SN=History of Mathematics
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Theory of Algebraic Functions of One Variable

English

By (author): Heinrich Weber Richard Dedekind

This book is the first English translation of the classic long paper Theorie der algebraischen Functionen einer Veranderlichen (Theory of algebraic functions of one variable), published by Dedekind and Weber in 1882. The translation has been enriched by a Translator's Introduction that provides historical background, and extensive commentary embedded in the translation itself. The translation, introduction, and commentary provide the first easy access to this important paper for a wide mathematical audience: students, historians of mathematics, and professional mathematicians. Why is the Dedekind-Weber paper important? In the 1850s, Riemann initiated a revolution in algebraic geometry by interpreting algebraic curves as surfaces covering the sphere. He obtained deep and striking results in pure algebra by intuitive arguments about surfaces and their topology. However, Riemann's arguments were not rigorous, and they remained in limbo until 1882, when Dedekind and Weber put them on a sound foundation. The key to this breakthrough was to develop the theory of algebraic functions in analogy with Dedekind's theory of algebraic numbers, where the concept of ideal plays a central role. By introducing such concepts into the theory of algebraic curves, Dedekind and Weber paved the way for modern algebraic geometry. See more
Current price €116.84
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A01=Heinrich WeberA01=Richard DedekindAge Group_UncategorizedAuthor_Heinrich WeberAuthor_Richard Dedekindautomatic-updateCategory1=Non-FictionCategory=PBHCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€100 and abovePS=ActiveSN=History of Mathematicssoftlaunch
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Product Details
  • Weight: 295g
  • Publication Date: 30 Aug 2012
  • Publisher: American Mathematical Society
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780821883303

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