A Concrete Introduction to Higher Algebra

Childs, Lindsay N.

Description

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
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Writer
Childs, Lindsay N.
Title
A Concrete Introduction to Higher Algebra
Publisher
Springer
Year
2010
Language
English
Pages
620
Weight
923 gr
EAN
9781441925619
Dimensions
235 x 155 x 33 mm
Binding format
Paperback

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Categories

Boekstra