This book is written as an introduction to higher algebra for students with a background of a year of claculus. 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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