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Algebra: Groups, Rings, and Fields



Algebra: Groups, Rings, and Fields
This book is about solving equations with coefficients in Z, which is a subject that is related to number theory, the fundamental theory of algebra, the unconstructability of certain numbers, the characterization of all infinite fields, and the unsolvability of the general equation of degree 5. more details
Key Features:
  • Detailed explanation of how to solve equations with coefficients in Z
  • Review of key concepts in number theory, algebra, and geometry
  • Provides a comprehensive guide to solving equations of all degrees


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Features
Author Louis Halle Rowen
ISBN 9781568810287
Publisher A K Peters Ltd
Manufacturer A K Peters Ltd
Description
This book is about solving equations with coefficients in Z, which is a subject that is related to number theory, the fundamental theory of algebra, the unconstructability of certain numbers, the characterization of all infinite fields, and the unsolvability of the general equation of degree 5.

Some of the most famous questions in mathematical history have involved equations with coefficients in Z, the set of integers. This book deals with their solutions, which are achieved with an economy of effort through the process of abstraction. It presents both results and their underlying ideas, thus introducing the basic concepts of groups, rings and fields to solve long-standing problems in mathematics. Among the subjects covered are results from number theory, the fundamental theory of algebra, the unconstructability of certain numbers, the characterization of all infinite fields and the unsolvability of the general equation of degree 5.

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