From Natural Numbers to Quaternions

From Natural Numbers to Quaternions
Author :
Publisher : Springer
Total Pages : 288
Release :
ISBN-10 : 9783319694290
ISBN-13 : 3319694294
Rating : 4/5 (294 Downloads)

Book Synopsis From Natural Numbers to Quaternions by : Jürg Kramer

Download or read book From Natural Numbers to Quaternions written by Jürg Kramer and published by Springer. This book was released on 2017-11-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


From Natural Numbers to Quaternions Related Books

From Natural Numbers to Quaternions
Language: en
Pages: 288
Authors: Jürg Kramer
Categories: Mathematics
Type: BOOK - Published: 2017-11-15 - Publisher: Springer

GET EBOOK

This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Ha
Rotations, Quaternions, and Double Groups
Language: en
Pages: 356
Authors: Simon L. Altmann
Categories: Mathematics
Type: BOOK - Published: 2005-01-01 - Publisher: Courier Corporation

GET EBOOK

This text presents a consistent description of the geometric and quaternionic treatment of rotation operators. Covers the fundamentals of symmetries, matrices,
Visualizing Quaternions
Language: en
Pages: 530
Authors: Andrew J. Hanson
Categories: Mathematics
Type: BOOK - Published: 2006-02-06 - Publisher: Elsevier

GET EBOOK

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts
Topics in Quaternion Linear Algebra
Language: en
Pages: 379
Authors: Leiba Rodman
Categories: Mathematics
Type: BOOK - Published: 2014-08-24 - Publisher: Princeton University Press

GET EBOOK

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important appli
Quaternions and Rotation Sequences
Language: en
Pages: 371
Authors: Jack B. Kuipers
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher:

GET EBOOK

The book is an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and