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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Kramer, Jürg (Συγγραφέας), von Pippich, Anna-Maria (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Springer Undergraduate Mathematics Series,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Kramer, Jürg.  |e author. 
245 1 0 |a From Natural Numbers to Quaternions  |h [electronic resource] /  |c by Jürg Kramer, Anna-Maria von Pippich. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XVIII, 277 p. 10 illus., 6 illus. in color.  |b online resource. 
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490 1 |a Springer Undergraduate Mathematics Series,  |x 1615-2085 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Algebra. 
650 0 |a Number theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebra. 
650 2 4 |a Number Theory. 
700 1 |a von Pippich, Anna-Maria.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319694276 
830 0 |a Springer Undergraduate Mathematics Series,  |x 1615-2085 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-69429-0  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)