Ultrafilters Throughout Mathematics (Graduate Studies in Mathematics) - Tapa blanda

Libro 187 de 190: Graduate Studies in Mathematics

Goldbring, Isaac

 
9781470469610: Ultrafilters Throughout Mathematics (Graduate Studies in Mathematics)

Sinopsis

Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues.

The second part presents the classical ultraproduct construction and provides applications to algebra, number theory, and nonstandard analysis. The third part discusses a metric generalization of the ultraproduct construction and gives example applications to geometric group theory and functional analysis. The final section returns to more advanced topics of a more foundational nature.

The book should be of interest to undergraduates, graduate students, and researchers from all areas of mathematics interested in learning how ultrafilters and ultraproducts can be applied to their specialty.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Isaac Goldbring, University of California, Irvine, CA.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9781470469009: Ultrafilters Throughout Mathematics: 220 (Graduate Studies in Mathematics)

Edición Destacada

ISBN 10:  1470469006 ISBN 13:  9781470469009
Editorial: American Mathematical Society, 2022
Tapa dura