About this book
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.
- Book Title From Natural Numbers to Quaternions
- Series Title Springer Undergraduate Mathematics Series
- Series Abbreviated Title SUMS
- DOI https://doi.org/10.1007/978-3-319-69429-0
- Copyright Information Springer International Publishing AG 2017
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Softcover ISBN 978-3-319-69427-6
- eBook ISBN 978-3-319-69429-0
- Series ISSN 1615-2085
- Series E-ISSN 2197-4144
- Edition Number 1
- Number of Pages XVIII, 277
- Number of Illustrations 4 b/w illustrations, 6 illustrations in colour
- Additional Information Original German edition published by Springer Spektrum, Wiesbaden, 2013
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