Heinz-Dieter Ebbinghaus: Numbers

Cover: 9780387974972 | Numbers | Heinz-Dieter Ebbinghaus (u. a.) | Taschenbuch | xviii | 1990

Rückseite: 9780387974972 | Numbers | Heinz-Dieter Ebbinghaus (u. a.) | Taschenbuch | xviii | 1990

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Sprache: Englisch

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Beschreibung

To be used for a reading course or as a supplemental text for a course in number theory.

Über den Autor

Heinz-Dieter Ebbinghaus is Professor Emeritus at the Mathematical Institute of the University of Freiburg. His work spans fields in logic, such as model theory and set theory, and includes historical aspects.
Jörg Flum is Professor Emeritus at the Mathematical Institute of the University of Freiburg. His research interests include mathematical logic, finite model theory, and parameterized complexity theory.

Wolfgang Thomas is Professor Emeritus at the Computer Science Department of RWTH Aachen University. His research interests focus on logic in computer science, in particular logical aspects of automata theory.

Zusammenfassung

To be used for a reading course or as a supplemental text for a course in number theory.

Inhaltsverzeichnis

A. 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.

Erscheinungsjahr:	1990
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xviii 398 S.
ISBN-13:	9780387974972
ISBN-10:	0387974970
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ebbinghaus, Heinz-Dieter Hermes, Hans Hirzebruch, Friedrich Koecher, Max Mainzer, Klaus Neukirch, Jürgen Prestel, Alexander Remmert, Reinhold
Redaktion:	Ewing, John H.
Herausgeber:	John H Ewing
Übersetzung:	Orde, H. L. S.
Hersteller:	Humana Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	233 x 155 x 23 mm
Von/Mit:	Heinz-Dieter Ebbinghaus (u. a.)
Erscheinungsdatum:	19.12.1990
Gewicht:	0,628 kg