24 cm. original cloth, dustjacket. xv1,402 pp. references. index. "Encyclopedia of Mathematics and its Applications". -(dustjacket slightly frayed, otherwise (very) good). 760g.
Sprache: Englisch
Verlag: Cambridge University Press 2007, 2007
ISBN 10: 0521865166 ISBN 13: 9780521865166
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In den WarenkorbZustand: Fine. First edition. Hardback. Octavo. xv, 401pp. Original red boards with gilt titles. Fine and unread in dust jacket.
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In den WarenkorbGebunden. Zustand: New. Über den AutorHelmutt Salzmann is Full Professor of Mathematics at Mathematisches Institut, Universitaet Tuebingen, Germany.InhaltsverzeichnisPreface 1. Real numbers 2. Non-standard numbers 3. Rational n.
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In den WarenkorbHardcover. Zustand: Brand New. new title edition. 418 pages. 9.00x6.00x1.00 inches. In Stock.
Sprache: Englisch
Verlag: Cambridge University Press Sep 2007, 2007
ISBN 10: 0521865166 ISBN 13: 9780521865166
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Neuware - The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven algebraical and topological structures. This comprehensive volume analyzes the interaction and interdependencies of these different aspects. The real and rational numbers are examined additionally with respect to their orderings, and these fields are compared to their non-standard counterparts. Typical substructures and quotients, relevant automorphism groups and many counterexamples are described. Also discussed are completion procedures of chains and of ordered and topological groups, with applications to classical fields. The p-adic numbers are placed in the context of general topological fields: absolute values, valuations and the corresponding topologies are studied, and the classification of all locally compact fields and skew fields is presented. Exercises are provided with hints and solutions at the end of the book. An appendix reviews ordinals and cardinals, duality theory of locally compact Abelian groups and various constructions of fields.