| 期刊全称 | A Concrete Introduction to Higher Algebra | | 影响因子2023 | Lindsay N. Childs | | 视频video | | | 发行地址 | 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 | | 学科分类 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 影响因子 | .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 expositio | | Pindex | Textbook 2009Latest edition |
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发表于 2025-3-21 16:49:36
