國立虎尾科技大學 |

From natural numbers to quaternions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	From natural numbers to quaternions/ by Jurg Kramer, Anna-Maria von Pippich.
作者:	Kramer, Jurg.
其他作者:	Pippich, Anna-Maria von.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xviii, 277 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Number theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-69429-0
ISBN:	9783319694290

From natural numbers to quaternions
Kramer, Jurg.

From natural numbers to quaternions[electronic resource] /by Jurg Kramer, Anna-Maria von Pippich. - Cham :Springer International Publishing :2017. - xviii, 277 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

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.

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.

ISBN: 9783319694290

Standard No.: 10.1007/978-3-319-69429-0doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

From natural numbers to quaternions
LDR:02099nam a2200337 a 4500 001 922160
003 DE-He213
005 20180523100524.0
006 m d
007 cr nn 008maaau
008 190624s2017 gw s 0 eng d
020 $a 9783319694290 $q (electronic bk.)
020 $a 9783319694276 $q (paper)
024 7 $a 10.1007/978-3-319-69429-0 $2 doi
035 $a 978-3-319-69429-0
040 $a GP $c GP
041 1 $a eng $h ger
050 4 $a QA241
072 7 $a PBF $2 bicssc
072 7 $a MAT002000 $2 bisacsh
082 0 4 $a 512.7 $2 23
090 $a QA241 $b .K89 2017
100 1 $a Kramer, Jurg. $3 1197576
240 1 0 $a Von den natürlichen Zahlen zu den Quaternionen. $l English
245 1 0 $a From natural numbers to quaternions $h [electronic resource] / $c by Jurg Kramer, Anna-Maria von Pippich.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xviii, 277 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 1615-2085
505 0 $a 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.
520 $a 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.
650 0 $a Number theory. $3 527883
650 0 $a Numbers, Natural. $3 1061125
650 0 $a Quaternions. $3 787156
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Algebra. $2 gtt $3 579870
650 2 4 $a Number Theory. $3 672023
700 1 $a Pippich, Anna-Maria von. $3 1197577
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer undergraduate mathematics series. $3 839247
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-69429-0
950 $a Mathematics and Statistics (Springer-11649)