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Introductory modern algebra : a historical approach / Saul Stahl.

By: Material type: TextTextPublication details: New Jersey : John Wiley, c2013.Edition: 2nd edDescription: xii, 448 p. : illustrations ; 25 cmISBN:
  • 9780470876169 (cloth)
Subject(s): DDC classification:
  • 512 23 St781
Contents:
1. The early history -- 2. Complex numbers -- 3. Solutions of equations -- 4. Modular arithmetic -- 5. The binomial theorem and modular powers -- 6. Polynomials over a field -- 7. Galois fields -- 8. Permutations -- 9. Groups -- 10. Quotient groups and their uses -- 11. Topics in elementary group theory -- 12. Number theory -- 13. The arithmetic of ideals -- 14. Abstract rings-- Biographies-- Bibliography-- Solutions to selected exercises-- Index-- Notation.
Summary: Introductory modern algebra: a historical approach, second edition presents the evolution of algebra and provides readers with the opportunity to view modern algebra as a consistent movement from concrete problems to abstract principles.
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Includes bibliographical references (p. 431-432) and index.

1. The early history --
2. Complex numbers --
3. Solutions of equations --
4. Modular arithmetic --
5. The binomial theorem and modular powers --
6. Polynomials over a field --
7. Galois fields --
8. Permutations --
9. Groups --
10. Quotient groups and their uses --
11. Topics in elementary group theory --
12. Number theory --
13. The arithmetic of ideals --
14. Abstract rings--
Biographies--
Bibliography--
Solutions to selected exercises--
Index--
Notation.

Introductory modern algebra: a historical approach, second edition presents the evolution of algebra and provides readers with the opportunity to view modern algebra as a consistent movement from concrete problems to abstract principles.

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