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A Concrete Introduction to Higher Algebra
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A Concrete Introduction to Higher Algebra

3rd ed. 2009

Book Details

Format Hardback or Cased Book
ISBN-10 0387745270
ISBN-13 9780387745275
Edition 3rd ed. 2009
Publisher Springer-Verlag New York Inc.
Imprint Springer-Verlag New York Inc.
Country of Manufacture GB
Country of Publication GB
Publication Date Nov 26th, 2008
Print length 604 Pages
Weight 1,026 grams
Dimensions 24.60 x 18.40 x 3.70 cms
Product Classification: Algebra
Ksh 13,400.00
Werezi Extended Catalogue 0 in stock

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This book is written as an introduction to higher algebra for students with a background of a year of calculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra.
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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