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[null,"1.","Record Nr.",null,"UNINA9910962009803321"]
[null,null,"Autore",null,"Ebbinghaus Heinz-Dieter <1939->"]
[null,null,"Titolo",null,"Numbers / / by Heinz-Dieter Ebbinghaus, Hans Hermes, Friedrich Hirzebruch, Max Koecher, Klaus Mainzer, Jürgen Neukirch, Alexander Prestel, Reinhold Remmert ; edited by John H. Ewing"]
[null,null,"Pubbl/distr/stampa",null,"New York, NY : , : Springer New York : , : Imprint : Springer, , 1991"]
[null,null,"ISBN",null,"1-4612-1005-4"]
[null,null,"Edizione",null,"[1st ed. 1991.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVIII, 398 p.)"]
[null,null,"Collana",null,"Readings in Mathematics ; ; 123"]
[null,null,"Disciplina",null,"512/.7"]
[null,null,"Soggetti",null,"Number theory"]
[{"$nulls":4},"Number Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Translation of: Zahlen."]
[{"$nulls":4},"\"With 24 illustrations.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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 "]
[{"$nulls":4},"mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis."]