Class Field Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Class Field Theory PDF full book. Access full book title Class Field Theory by Nancy Childress. Download full books in PDF and EPUB format.
Author: Nancy Childress
Publisher: Springer Science & Business Media
ISBN: 0387724907
Category : Mathematics
Languages : en
Pages : 230
Get Book
Book Description
Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof, but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included lots of challenging exercises throughout the text.
Author: Nancy Childress
Publisher: Springer Science & Business Media
ISBN: 0387724907
Category : Mathematics
Languages : en
Pages : 230
Get Book
Book Description
Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof, but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included lots of challenging exercises throughout the text.
Author: Georges Gras
Publisher: Springer Science & Business Media
ISBN: 3662113236
Category : Mathematics
Languages : en
Pages : 491
Get Book
Book Description
Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.
Author: J. Neukirch
Publisher: Springer Science & Business Media
ISBN: 364282465X
Category : Mathematics
Languages : en
Pages : 148
Get Book
Book Description
Class field theory, which is so immediately compelling in its main assertions, has, ever since its invention, suffered from the fact that its proofs have required a complicated and, by comparison with the results, rather imper spicuous system of arguments which have tended to jump around all over the place. My earlier presentation of the theory [41] has strengthened me in the belief that a highly elaborate mechanism, such as, for example, cohomol ogy, might not be adequate for a number-theoretical law admitting a very direct formulation, and that the truth of such a law must be susceptible to a far more immediate insight. I was determined to write the present, new account of class field theory by the discovery that, in fact, both the local and the global reciprocity laws may be subsumed under a purely group theoretical principle, admitting an entirely elementary description. This de scription makes possible a new foundation for the entire theory. The rapid advance to the main theorems of class field theory which results from this approach has made it possible to include in this volume the most important consequences and elaborations, and further related theories, with the excep tion of the cohomology version which I have this time excluded. This remains a significant variant, rich in application, but its principal results should be directly obtained from the material treated here.
Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 1461210356
Category : Mathematics
Languages : en
Pages : 211
Get Book
Book Description
Translation of the French Edition
Author: Jürgen Neukirch
Publisher: Springer Science & Business Media
ISBN: 3642354378
Category : Mathematics
Languages : en
Pages : 184
Get Book
Book Description
The present manuscript is an improved edition of a text that first appeared under the same title in Bonner Mathematische Schriften, no.26, and originated from a series of lectures given by the author in 1965/66 in Wolfgang Krull's seminar in Bonn. Its main goal is to provide the reader, acquainted with the basics of algebraic number theory, a quick and immediate access to class field theory. This script consists of three parts, the first of which discusses the cohomology of finite groups. The second part discusses local class field theory, and the third part concerns the class field theory of finite algebraic number fields.
Author: Kenkichi Iwasawa
Publisher: Oxford University Press, USA
ISBN:
Category : History
Languages : en
Pages : 184
Get Book
Book Description
This readable introduction to local class field theory, a theory of algebraic extensions, covers such topics as abelian extensions. Almost self-contained, the book is accessible to any reader with a basic background in algebra and topological groups.
Author: Emil Artin
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 296
Get Book
Book Description
Author: Kenkichi Iwasawa
Publisher: Oxford University Press, USA
ISBN:
Category : Class field theory
Languages : en
Pages : 184
Get Book
Book Description
This readable introduction to local class field theory, a theory of algebraic extensions, covers such topics as abelian extensions. Almost self-contained, the book is accessible to any reader with a basic background in algebra and topological groups.
Author: Claude Chevalley
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 116
Get Book
Book Description
Author: Emil Artin
Publisher: American Mathematical Soc.
ISBN: 9780821869512
Category : Mathematics
Languages : en
Pages : 206
Get Book
Book Description
This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.
