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From Natural Numbers to Quaternions
Taschenbuch von Anna-Maria von Pippich (u. a.)
Sprache: Englisch

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Beschreibung
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. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research.
The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.
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. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research.
The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.
Über den 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.

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.
Details
Erscheinungsjahr: 2017
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 296
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xviii
277 S.
4 s/w Illustr.
6 farbige Illustr.
277 p. 10 illus.
6 illus. in color.
ISBN-13: 9783319694276
ISBN-10: 3319694278
Sprache: Englisch
Herstellernummer: 978-3-319-69427-6
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pippich, Anna-Maria von
Kramer, Jürg
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 17 mm
Von/Mit: Anna-Maria von Pippich (u. a.)
Erscheinungsdatum: 23.11.2017
Gewicht: 0,452 kg
preigu-id: 110622887
Über den 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.

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.
Details
Erscheinungsjahr: 2017
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 296
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xviii
277 S.
4 s/w Illustr.
6 farbige Illustr.
277 p. 10 illus.
6 illus. in color.
ISBN-13: 9783319694276
ISBN-10: 3319694278
Sprache: Englisch
Herstellernummer: 978-3-319-69427-6
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pippich, Anna-Maria von
Kramer, Jürg
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 17 mm
Von/Mit: Anna-Maria von Pippich (u. a.)
Erscheinungsdatum: 23.11.2017
Gewicht: 0,452 kg
preigu-id: 110622887
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