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Author Kramer, Jürg, 1956-
Title Von den naturlichen Zahlen zu den Quaternionen. English
From natural numbers to quaternions / Jurg Kramer, Anna-Maria von Pippich.
Imprint Cham, Switzerland : Springer, 2017.

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Author Kramer, Jürg, 1956-
Series Springer undergraduate mathematics series, 1615-2085
Springer undergraduate mathematics series. 1615-2085
Subject Number theory.
Numbers, Natural.
Alt Name Pippich, Anna-Maria von,
Kramer, David, 1945-
Description 1 online resource (xviii, 277 pages) : illustrations (some color).
Bibliography Note Includes bibliographical references and index.
Contents 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.
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.
Note Online resource; title from PDF title page (SpringerLink, viewed November 30, 2017).
ISBN 9783319694290 (electronic bk.)
3319694294 (electronic bk.)
9783319694276 (print)
ISBN/ISSN 10.1007/978-3-319-69429-0
OCLC # 1013540116
Additional Format Printed edition: 9783319694276

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