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Fields and Models

From Sturm to Tarski and Robinson

Produktform: Buch / Einband - fest (Hardcover)

The first English translation of the well-received French text "Corps et Modèles," Fields and Models: from Sturm to Tarski and Robinson traces the intertwined development of logic and algebra, particularly Tarski's model theory and Artin's and Schrier's algebra of real-closed fields. A number of pivotal results are woven in to this collaboration across disciplines: Sturm's theorem on the location of roots of real polynomials, which is the unifying theme, as well as Artin's solution to Hilbert's 17th problem, Tarski's decision procedure for the field of real numbers, and research into quadratic forms. Drawing extensively on original sources, Hourya Sinaceur discusses not only the evolution of new mathematical ideas, but also their epistemological foundations and the ways in which mathematical subdisciplines influence one another. A wide audience of students and researchers in both the sciences and humanities will benefit from this fascinating chapter of intellectual history.weiterlesen

Sprache(n): Englisch

ISBN: 978-0-8176-4114-6 / 978-0817641146 / 9780817641146

Verlag: Birkhäuser Boston

Erscheinungsdatum: 30.04.2011

Seiten: 446

Zielgruppe: Graduate students and researchers in algebra, logic, algebraic geometry, and other fields of mathematics, as well as students and researchers in the history and philosophy of science

Autor(en): Hourya Benis Sinaceur
Übersetzt von F. Bourgoin

85,49 € inkl. MwSt.
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