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Theory of Algebraic Functions of One Variable (Paperback)
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Theory of Algebraic Functions of One Variable (Paperback)
Series: History of Mathematics
Expected to ship within 12 - 17 working days
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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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
History of Mathematics |
Release date: |
August 2012 |
First published: |
August 2012 |
Authors: |
Richard Dedekind
• Heinrich Weber
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Dimensions: |
255 x 177 x 9mm (L x W x T) |
Format: |
Paperback
|
Pages: |
157 |
ISBN-13: |
978-0-8218-8330-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-8218-8330-5 |
Barcode: |
9780821883303 |
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