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From natural numbers to quaternions

Kramer, Jurg.

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From natural numbers to quaternions

Record Type:	Electronic resources : Monograph/item
Title/Author:	From natural numbers to quaternions/ by Jurg Kramer, Anna-Maria von Pippich.
Author:	Kramer, Jurg.
other author:	Pippich, Anna-Maria von.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xviii, 277 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Number theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-69429-0
ISBN:	9783319694290

From natural numbers to quaternions
Kramer, Jurg.

From natural numbers to quaternions[electronic resource] /by Jurg Kramer, Anna-Maria von Pippich. - Cham :Springer International Publishing :2017. - xviii, 277 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

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.

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.

ISBN: 9783319694290

Standard No.: 10.1007/978-3-319-69429-0doiSubjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

From natural numbers to quaternions
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100 1 $a Kramer, Jurg. $3 3270401
240 1 0 $a Von den natürlichen Zahlen zu den Quaternionen. $l English
245 1 0 $a From natural numbers to quaternions $h [electronic resource] / $c by Jurg Kramer, Anna-Maria von Pippich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xviii, 277 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 1615-2085
505 0 $a 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.
520 $a 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.
650 0 $a Number theory. $3 515832
650 0 $a Numbers, Natural. $3 752923
650 0 $a Quaternions. $3 536600
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebra. $3 516203
650 2 4 $a Number Theory. $3 891078
700 1 $a Pippich, Anna-Maria von. $3 3270402
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830 0 $a Springer undergraduate mathematics series. $3 1567980
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950 $a Mathematics and Statistics (Springer-11649)