TY - BOOK AU - Ebbinghaus,Heinz-Dieter AU - Ewing,John H. AU - Lamotke,K. AU - Orde,H.L.S. AU - Hermes,Hans AU - Hirzebruch,Friedrich AU - Koecher,Max AU - Mainzer,Klaus AU - Neukirch,Jürgen AU - Prestel,Alexander TI - Numbers T2 - Graduate Texts in Mathematics Series SN - 9781461210054 AV - QA241-247.5 U1 - 512/.7 PY - 1990/// CY - New York, NY PB - Springer New York KW - Number theory KW - Electronic books N1 - Graduate Texts in Mathematics -- Editor's page -- Copyright -- Preface to the English Edition -- Preface to Second Edition -- Preface to First Edition -- Contents -- Introduction -- Part 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 Algebra -- 5 What is π? -- 6 The p-Adic Numbers -- Part B Real Division Algebras -- Introduction -- 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 -- Part C Infinitesimals, Games, and Sets -- 12 Nonstandard Analysis -- 13 Numbers and Games -- 14 Set Theory and Mathematics -- Name Index -- Subject Index -- Portraits of Famous Mathematicians UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3075098 ER -