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From Natural Numbers to Quaternions
Paperback
Series: Springer Undergraduate Mathematics
ISBN13: 9783319694276
Publisher: Springer Nature
Published: Nov 23 2017
Pages: 277
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
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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