From Natural Numbers to Quaternions

Häftad, Engelska, 2017

Del i serien Springer Undergraduate Mathematics Series

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2017-11-23
Mått:155 x 235 x 22 mm
Vikt:452 g
Format:Häftad
Språk:Engelska
Serie:Springer Undergraduate Mathematics Series
Antal sidor:277
Förlag:Springer International Publishing AG
ISBN:9783319694276
Originaltitel:Von den natürlichen Zahlen zu den Quaternionen

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

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.