From Natural Numbers to Quaternions

Author:   Jürg Kramer ,  Anna-Maria von Pippich
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
ISBN:  

9783319694276


Pages:   277
Publication Date:   23 November 2017
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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From Natural Numbers to Quaternions


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Overview

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.

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