Articles liés à Model Theory, Algebra, and Geometry
Synopsis
Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.
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Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.
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Model Theory, Algebra, and Geometry
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
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Hardcover. Etat : ex library-very good. Mathematical Sciences Research Institute Publications 39. vii, 227 p. 24 cm. Ex library with labels on spine and front cover, ink stamps on top edge and title. A little soiling to top edge near spine. N° de réf. du vendeur 145748
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Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
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Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
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Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
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Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
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Model Theory, Algebra, and Geometry (Mathematical Sciences Research Institute Publications, Series Number 39)
Edité par
Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
Couverture rigide
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Model Theory, Algebra, and Geometry (Hardcover)
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Cambridge University Press, Cambridge, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
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Hardcover. Etat : new. Hardcover. Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell-Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis). Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell-Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521780681
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Model Theory, Algebra and Geometry
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Cambridge University Press, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
Couverture rigide
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Hardcover. Etat : Brand New. 227 pages. 9.25x6.00x0.75 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521780683
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Model Theory, Algebra, and Geometry (Hardcover)
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Cambridge University Press, Cambridge, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell-Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis). Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell-Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis). Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521780681
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Model Theory, Algebra, and Geometry
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Cambridge University Press CUP, 2000
ISBN 10 : 0521780683
ISBN 13 : 9780521780681
Neuf
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Etat : New. pp. 236. N° de réf. du vendeur 26521488
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