A Concrete introduction to higher 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. A strong emphasis on congruence classes leads in a natural way to finite groups and f...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الطبعة: | 3rd ed. 2009. |
| سلاسل: | Undergraduate Texts in Mathematics
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 07 juillet 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A concrete introduction to higher algebra, Lindsay N. Childs, 3rd edition, New York, Springer, 2008, 1 vol. (603 p.), Undergraduate texts in mathematics, 978-0-387-74527-5 |
جدول المحتويات:
- Numbers Numbers Induction Euclid's Algorithm Unique Factorization Congruence Congruence classes and rings Congruence Classes Rings and Fields Matrices and Codes Congruences and Groups Fermat's and Euler's Theorems Applications of Euler's Theorem Groups The Chinese Remainder Theorem Polynomials Polynomials Unique Factorization The Fundamental Theorem of Algebra Polynomials in ?[x] Congruences and the Chinese Remainder Theorem Fast Polynomial Multiplication Primitive Roots Cyclic Groups and Cryptography Carmichael Numbers Quadratic Reciprocity Quadratic Applications Finite Fields Congruence Classes Modulo a Polynomial Homomorphisms and Finite Fields BCH Codes Factoring Polynomials Factoring in ?[x] Irreducible Polynomials