From Natural Numbers to Quaternions (Springer Undergraduate Mathematics Series)
Language: English
Published by Springer, 2017
- Softcover
- New
Seller: California Books, Miami, FL, U.S.A.California Books
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- Title
- From Natural Numbers to Quaternions (Springer Undergraduate Mathematics Series)
- Author
- Kramer, Jürg; Von Pippich, Anna-Maria
- Publisher
- Springer
- Publication year
- 2017
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319694278
- ISBN 13
- 9783319694276
- Series
- Book 61 of 90: Springer Undergraduate Mathematics
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.
"Synopsis" may belong to another edition of this title.
About the Author
Jürg Kramer is Professor of Mathematics at the Humboldt-Universität 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 Universität Darmstadt, Germany. She is working in number theory, in particular in the theory of automorphic forms, and Arakelov geometry.
"About the title" may belong to another edition of this title.
California Books
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