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From natural numbers to quaternions [electronic resource]

From natural numbers to quaternions [electronic resource]

Material type
E-Book(소장)
Personal Author
Kramer, Jürg. von Pippich, Anna-Maria.
Title Statement
From natural numbers to quaternions [electronic resource] / Jürg Kramer, Anna-Maria von Pippich.
Publication, Distribution, etc
Cham :   Springer,   c2017.  
Physical Medium
1 online resource (xviii, 277 p.) : ill.
Series Statement
Springer Undergraduate Mathematics Series,1615-2085
ISBN
9783319694276 9783319694290 (e-book)
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Algebra. Number theory.
Short cut
URL
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020 ▼a 9783319694276
020 ▼a 9783319694290 (e-book)
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050 4 ▼a QA150-272
082 0 4 ▼a 512.7 ▼2 23
084 ▼a 512.7 ▼2 DDCK
090 ▼a 512.7
100 1 ▼a Kramer, Jürg.
245 1 0 ▼a From natural numbers to quaternions ▼h [electronic resource] / ▼c Jürg Kramer, Anna-Maria von Pippich.
260 ▼a Cham : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (xviii, 277 p.) : ▼b ill.
490 1 ▼a Springer Undergraduate Mathematics Series, ▼x 1615-2085
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Algebra.
650 0 ▼a Number theory.
700 1 ▼a von Pippich, Anna-Maria.
830 0 ▼a Springer Undergraduate Mathematics Series.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-69429-0
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.7 Accession No. E14014953 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of 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.

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