From natural numbers to quaternions / Jürg Kramer, Anna-Maria von Pippich.

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From natural numbers to quaternions / Jürg Kramer, Anna-Maria von Pippich.

Von den natürlichen Zahlen zu den Quaternionen. English

9783319694290 (electronic book)
3319694294 (electronic book)
9783319694276

Cham, Switzerland : Springer, 2017.

English

1 online resource (xviii, 277 pages) : illustrations.

10.1007/978-3-319-69429-0 doi

QA241

512.7

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.-- Provided by publisher.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed November 30, 2017).

Springer undergraduate mathematics series.

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