From Natural Numbers to Quaternions

• 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: Mathematics.; Algebra.; Number theory.; Number Theory.

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...

Πίνακας περιεχομένων:

• 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.