A Concrete Introduction to Higher Algebra 3rd Edition
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A Concrete Introduction to Higher Algebra 3rd Edition

SKU: 9780387747255

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Additional information

Full Title

A Concrete Introduction to Higher Algebra 3rd Edition
Author(s)

Lindsay N. Childs
Edition

3rd Edition
ISBN

9780387747255, 9780387745275, 9781441925619
Publisher

Springer
Format

PDF and EPUB

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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