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Integer and Polynomial Algebra.
・ISBN 978-1-4704-7332-7 paper US$ 65.00
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お気に入り
★★★
| 著者・編者 | Davidson, Kenneth R. / Satriano, Matthew, |
|---|---|
| シリーズ | Mathematical World |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2024 |
| ページ数 | 185 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2533＞ |
解説
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields.
In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.
In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.