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From Natural Numbers to Quaternions (Paperback) (ISBN-13: 9783319694276)
Vendor:
J?g Kramer
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Books
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Description
xThis 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.
Author: J?g Kramer, Anna-Maria Von Pippich
ISBN-10: 3319694278
ISBN-13: 9783319694276
Publisher: Springer
Language: English
Published: 11/23/2017
Pages: 277
Format: Paperback
Weight: 0.92lbs
Size: 9.21h x 6.14w x 0.62d
By J?g Kramer
xJ?g Kramer is Professor of Mathematics at the Humboldt-Universit舩 zu Berlin, Germany. His research focuses on arithmetic geometry, in particular on Arakelov geometry, and the theory of modular and automorphic forms. He is also interested in questions about the teaching of mathematics at university level.
Anna-Maria von Pippich is Junior Professor of Algebra and Number Theory at the Technische Universit舩 Darmstadt, Germany. She is working in number theory, in particular in the theory of automorphic forms, and Arakelov geometry.
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