From Natural Numbers to Quaternions
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, g...
| Main Authors: | , |
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| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Springer Undergraduate Mathematics Series,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-69429-0 |
Table of Contents:
- Introduction
- I The Natural Numbers
- II The Integers
- III The Rational Numbers
- IV The Real Numbers
- V The Complex Numbers
- VI Hamilton's Quaternions
- Solutions to Exercises
- Selected Literature
- Index.