From natural numbers to quaternions / Jürg Kramer, Anna-Maria von Pippich.
Kramer, Jürg, 1956- author.; Pippich, Anna-Maria von, author.; Kramer, David, translator.
2017
QA241
Available Online

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Title From natural numbers to quaternions / Jürg Kramer, Anna-Maria von Pippich.
Author Kramer, Jürg, 1956- author.
Uniform Title Von den natürlichen Zahlen zu den Quaternionen. English
ISBN 9783319694290 (electronic book)
3319694294 (electronic book)
9783319694276
DOI https://doi.org/10.1007/978-3-319-69429-0
Published Cham, Switzerland : Springer, 2017.
Language English
Description 1 online resource (xviii, 277 pages) : illustrations.
Item Number 10.1007/978-3-319-69429-0 doi
Call Number QA241
Dewey Decimal Classification 512.7
Summary 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.-- Provided by publisher.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 30, 2017).
Added Author Pippich, Anna-Maria von, author.
Kramer, David, translator.
Series Springer undergraduate mathematics series.
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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.

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