Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics

Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics
ISBN-10
0387724877
ISBN-13
9780387724874
Series
Algebra
Category
Mathematics
Pages
340
Language
English
Published
2007-12-27
Publisher
Springer Science & Business Media
Author
Falko Lorenz

Description

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

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