From natural numbers to quaternions / Jürg Kramer, Anna-Maria von Pippich.
2017
QA241
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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
3319694294 (electronic book)
9783319694276
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.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 30, 2017).
Series
Springer undergraduate mathematics series.
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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.
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.