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From Natural Numbers to Quaternions (Paperback, 1st ed. 2017)
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From Natural Numbers to Quaternions (Paperback, 1st ed. 2017)
Series: Springer Undergraduate Mathematics Series
Expected to ship within 10 - 15 working days
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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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