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A Concrete Introduction to Higher Algebra / Childs, Lindsay N.

Tác giả : Childs, Lindsay N.

Nhà xuất bản : Springer

Năm xuất bản : 2009

Mô tả vật lý : 592 p.

Số phân loại : 512

Chủ đề : 1. Mathematics. 2. Statistics. 3. Book.

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Tóm tắt :

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.

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Đại học quốc gia Hà Nội
https://repository.vnu.edu.vn/handle/VNU_123/30207