Cambridge Studies in Advanced Mathematics: Galois Theories Series Number 72 (Paperback)
  • Cambridge Studies in Advanced Mathematics: Galois Theories Series Number 72 (Paperback)
zoom

Cambridge Studies in Advanced Mathematics: Galois Theories Series Number 72 (Paperback)

(author), (author)
£56.99
Paperback 356 Pages / Published: 31/07/2008
  • Not available

This product is currently unavailable.

  • This item has been added to your basket
Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.

Publisher: Cambridge University Press
ISBN: 9780521070416
Number of pages: 356
Weight: 520 g
Dimensions: 229 x 152 x 20 mm


MEDIA REVIEWS
Review of the hardback: 'This book is a beautiful presentation of Janelidze's general categorical Galois theory ... a rewarding read.' Laszlo Marki, Acta Sci. Math.
Review of the hardback: '... highly recommended or anyone wishing to learn the mathematical side of category theory (rather than its computer-science aspect) ... I enjoyed reading it very much.' Proceedings of the Edinburgh Mathematical Society
Review of the hardback: 'A comprehensive account, which may well deepen one's understanding of the classical case.' Mathematika
"This is a clearly written and readable book covering a lot of interesting and important material, and effectively leading the reader through increasing levels of generality and abstraction." Mathematical Review

You may also be interested in...

Introduction to Graph Theory
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Linear Algebra: Concepts and Methods
Added to basket
Linear Algebra Done Right
Added to basket
Schaum's Outline of Abstract Algebra
Added to basket
Algebra I Essentials For Dummies
Added to basket
Linear Algebra Demystified
Added to basket
The Cartoon Guide to Algebra
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
College Algebra DeMYSTiFieD
Added to basket
Book of Abstract Algebra
Added to basket
Introduction to Abstract Algebra
Added to basket

Please sign in to write a review

Your review has been submitted successfully.