Numbers / / by Heinz-Dieter Ebbinghaus, Hans Hermes, Friedrich Hirzebruch, Max Koecher, Klaus Mainzer, Jürgen Neukirch, Alexander Prestel, Reinhold Remmert ; edited by John H. Ewing

• Autore: Ebbinghaus Heinz-Dieter <1939->
• Pubblicazione: New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
• Edizione: 1st ed. 1991.
• Descrizione fisica: 1 online resource (XVIII, 398 p.)
• Disciplina: 512/.7
• Soggetto topico: Number theory; Number Theory
• Persona (resp. second.): HermesHans; HirzebruchFriedrich; KoecherMax; MainzerKlaus; NeukirchJürgen; PrestelAlexander; RemmertReinhold; EwingJohn H
• Note generali: Translation of: Zahlen.; "With 24 illustrations."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Sommario/riassunto: A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number"­ told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers? Mathematicians have always found it diffi­ cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec­ tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis.
• Titolo autorizzato: Numbers
• ISBN: 1-4612-1005-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910812425203321
• Lo trovi qui: Univ. Federico II
• Serie: Readings in Mathematics ; ; 123