TY  - BOOK
AU  - Kramer,Jürg
AU  - von Pippich,Anna-Maria
ED  - SpringerLink (Online service)
TI  - From Natural Numbers to Quaternions
T2  - Springer Undergraduate Mathematics Series,
SN  - 9783319694290
AV  - QA150-272 
U1  - 512 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Algebra
KW  - Number theory
KW  - Number Theory
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-69429-0
ER  -