Model theory with applications to algebra and analysis. [EBook] / [edited by ] Zoé Chatzidakis [and three others]. Volume 1
Model theory with applications to algebra and analysis. [EBook] / [edited by ] Zoé Chatzidakis [and three others]. Volume 1
The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institut...
Personal Name(s):  Chatzidakis, Zoé Maria, (editor) 

Imprint: 
Cambridge :
Cambridge University Press,
2008

Physical Description: 
1 online resource (xv, 334 pages) 
Note: 
englisch 
ISBN: 
9780511735226 9780521694841 
Series Title: 
London Mathematical Society lecture note series ;
349 
Subject (LOC):  
Full Text 
The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around MordellLang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; ominimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts. 