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A Concrete Introduction to Higher Algebra 电子书 epub 免费下载 pdf 免费下载 mobi 免费下载 2022


A Concrete Introduction to Higher Algebra

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出版者:Springer
作者:Childs, Lindsay N.
出品人:
页数:603
译者:
出版时间:2009
价格:46,95 €
装帧:Hardcover
isbn号码:9780387745275
丛书系列:Undergraduate Texts in Mathematics

图书标签: UTM  结实的概论  数学  教科书  大学代数  代数   




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发表于2022-06-26

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Informal and readable introduction to higher algebra

New sections on Luhn's formula, Cosets and equations, and detaching coefficients

Successful undergraduate text for more than 20 years

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. A strong emphasis on congruence classes leads in a natural way to finite groups and finite fields. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, error correction, integration, and especially to elementary and computational number theory. The later chapters include expositions of Rabin's probabilistic primality test, quadratic reciprocity, the classification of finite fields, and factoring polynomials over the integers. Over 1000 exercises, ranging from routine examples to extensions of theory, are found throughout the book; hints and answers for many of them are included in an appendix.

The new edition includes topics such as Luhn's formula, Karatsuba multiplication, quotient groups and homomorphisms, Blum-Blum-Shub pseudorandom numbers, root bounds for polynomials, Montgomery multiplication, and more.

"At every stage, a wide variety of applications is presented...The user-friendly exposition is appropriate for the intended audience"

- T.W. Hungerford, Mathematical Reviews

"The style is leisurely and informal, a guided tour through the foothills, the guide unable to resist numerous side paths and return visits to favorite spots..."

- Michael Rosen, American Mathematical Monthly

Written for » Lower undergraduate

Targeted Courses » advanced undergraduate higher algebra or abstract algebra

Keywords » YellowSale2006 - adopted-textbook NY

Related subjects » Algebra

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