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Graduate Texts in Mathematics 123 - Readings in Mathematics
Ebbinghaus, Heinz-Dieter/Hermes, Hans/Hirzebruch, Friedrich et al
ISBN/EAN: 9780387974972
Umbreit-Nr.: 1921823
Sprache:
Englisch
Umfang: xviii, 398 S.
Format in cm: 2.4 x 23.5 x 15.5
Einband:
kartoniertes Buch
Erschienen am 19.12.1990
Auflage: 1/1996
- Zusatztext
- InhaltsangabeA. From the Natural Numbers, to the Complex Numbers, to the p-adics.- 1. Natural Numbers, Integers, and Rational Numbers.- 2. Real Numbers.- 3. Complex Numbers.- 4. The Fundamental Theorem of Algebr.- 5. What is ??.- 6. The p-Adic Numbers.- B. Real Division Algebras.- Repertory. Basic Concepts from the Theory of Algebras.- 7. Hamilton's Quaternions.- 8. The Isomorphism Theorems of FROBENIUS, HOPF and GELFAND-MAZUR.- 9. CAYLEY Numbers or Alternative Division Algebras.- 10. Composition Algebras. HURWITZ's Theorem-Vector-Product Algebras.- 11. Division Algebras and Topology.- C. Infinitesimals, Games, and Sets.- 12. Nonsiandard Analysis.- 13. Numbers and Games.- 14. Set Theory and Mathematics.- Name Index.- Portraits of Famous Mathematicians.
- Kurztext
- Suitable as a reading course or as a supplemental text for a course in number theory.