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From Natural Numbers to Quaternions

BuchKartoniert, Paperback
277 Seiten
Englisch
Springererschienen am23.11.20171st ed. 2017
This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions. Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings, fields, and skew fields.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR37,44
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Produkt

KlappentextThis textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions. Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings, fields, and skew fields.
Zusammenfassung
Provides a self-contained introduction to the construction of integers, rationals, reals, complex numbers and Hamilton's quaternions

Develops the basic prerequisites in group and ring theory as well as elementary number theory

Contains appendices to each chapter highlighting the ubiquity of the material

Includes more than 100 exercises with solutions

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-69427-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2017
Erscheinungsdatum23.11.2017
Auflage1st ed. 2017
ReiheSpringer Undergraduate Mathematics Series
Seiten277 Seiten
SpracheEnglisch
Gewicht468 g
IllustrationenXVIII, 277 p. 10 illus., 6 illus. in color.
Artikel-Nr.43751234

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- I The Natural Numbers.- II The Integers.- III The Rational Numbers.- IV The Real Numbers.- V The Complex Numbers.- VI Hamilton's Quaternions.- Solutions to Exercises.- Selected Literature.- Index.mehr

Schlagworte

Autor

Jürg Kramer is Professor of Mathematics at the Humboldt-Universität zu Berlin, Germany. His research focuses on arithmetic geometry, in particular on Arakelov geometry, and the theory of modular and automorphic forms. He is also interested in questions about the teaching of mathematics at university level.

Anna-Maria von Pippich is Junior Professor of Algebra and Number Theory at the Technische Universität Darmstadt, Germany. She is working in number theory, in particular in the theory of automorphic forms, and Arakelov geometry.