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＜電子ブック＞
From Natural Numbers to Quaternions / by Jürg Kramer, Anna-Maria von Pippich
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	XVIII, 277 p. 10 illus., 6 illus. in color : online resource
著者標目	*Kramer, Jürg author von Pippich, Anna-Maria author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Number theory FREE:Algebra FREE:Number Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-69429-0

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