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000805906 020__ $$a9783319694290$$q(electronic book)
000805906 020__ $$a3319694294$$q(electronic book)
000805906 020__ $$z9783319694276
000805906 0247_ $$a10.1007/978-3-319-69429-0$$2doi
000805906 035__ $$aSP(OCoLC)on1013540116
000805906 035__ $$aSP(OCoLC)1013540116
000805906 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dFIE
000805906 0411_ $$aeng$$hger
000805906 049__ $$aISEA
000805906 050_4 $$aQA241
000805906 08204 $$a512.7$$223
000805906 1001_ $$aKramer, Jürg,$$d1956-$$eauthor.
000805906 24010 $$aVon den natürlichen Zahlen zu den Quaternionen.$$lEnglish
000805906 24510 $$aFrom natural numbers to quaternions /$$cJürg Kramer, Anna-Maria von Pippich.
000805906 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017.
000805906 300__ $$a1 online resource (xviii, 277 pages) :$$billustrations.
000805906 336__ $$atext$$btxt$$2rdacontent
000805906 337__ $$acomputer$$bc$$2rdamedia
000805906 338__ $$aonline resource$$bcr$$2rdacarrier
000805906 4901_ $$aSpringer undergraduate mathematics series,$$x1615-2085
000805906 504__ $$aIncludes bibliographical references and index.
000805906 5050_ $$aIntroduction -- 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.
000805906 506__ $$aAccess limited to authorized users.
000805906 520__ $$aThis 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.--$$cProvided by publisher.
000805906 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 30, 2017).
000805906 650_0 $$aNumber theory.
000805906 650_0 $$aNumbers, Natural.
000805906 650_0 $$aQuaternions.
000805906 7001_ $$aPippich, Anna-Maria von,$$eauthor.
000805906 7001_ $$aKramer, David,$$etranslator.
000805906 830_0 $$aSpringer undergraduate mathematics series.
000805906 852__ $$bebk
000805906 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-69429-0$$zOnline Access$$91397441.1
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000805906 980__ $$aBIB
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