Algebra : Fields and Galois Theory
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The work Algebra : Fields and Galois Theory represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Algebra : Fields and Galois Theory
Resource Information
The work Algebra : Fields and Galois Theory represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Algebra : Fields and Galois Theory
 Title remainder
 Fields and Galois Theory
 Statement of responsibility
 by Falko Lorenz
 Language

 eng
 eng
 Summary
 The present textbook is a lively, problemoriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, diophantine dimensions of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems.  Stefan Porubsky, Mathematical Reviews
 Dewey number
 512
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
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 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
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