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Viser: From Natural Numbers to Quaternions
From Natural Numbers to Quaternions Vital Source e-bog
Jürg Kramer
(2017)
From Natural Numbers to Quaternions
Jürg Kramer og Anna-Maria von Pippich
(2017)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (November 2017)
- ISBN: 9783319694290
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (November 2017)
- Forfattere: Jürg Kramer og Anna-Maria von Pippich
- ISBN: 9783319694276
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.