First English translation of the classic long paper Theories der algebraischen Functionen einer Veranderlichen. Series: History of Mathematics. Num Pages: 157 pages, Illustrations. BIC Classification: PBH. Category: (G) General (US: Trade). Dimension: 255 x 177 x 9. Weight in Grams: 298. . 2012. Paperback. . . . . Books ship from the US and Ireland.

N� de ref. del art�culo V9780821883303

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Detalles bibliogr�ficos

T�tulo

Theory of Algebraic Functions of One Variable (History of Mathematics)

Editor

American Mathematical Society

Fecha de publicaci�n

2012

Idioma

Ingl�s

ISBN 10

0821883305

ISBN 13

9780821883303

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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.

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Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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