Awards
- Commended for Choice Magazine Outstanding Reference/Academic Book Award 2015.
- Short-listed for Choice 's Outstanding Academic Titles for the Year 2015
- Short-listed for Choice Magazine Outstanding Reference/Academic Book Award 2015
- Shortlisted for Choice Magazine Outstanding Reference/Academic Book Award 2015.
Overview
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra.The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.
Full Product Details
Author: Leiba Rodman
Publisher: Princeton University Press
Imprint: Princeton University Press
Volume: 45
Dimensions:
Width: 17.80cm
, Height: 2.20cm
, Length: 25.40cm
Weight: 0.936kg
ISBN: 9780691161853
ISBN 10: 0691161852
Pages: 384
Publication Date: 24 August 2014
Audience:
College/higher education
,
Professional and scholarly
,
General/trade
,
Tertiary & Higher Education
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Temporarily unavailable 
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.
Language: English
Table of Contents
*FrontMatter, pg. i*Contents, pg. vii*Preface, pg. xi*Chapter One. Introduction, pg. 1*Chapter Two. The algebra of quaternions, pg. 9*Chapter Three. Vector spaces and matrices: Basic theory, pg. 28*Chapter Four. Symmetric matrices and congruence, pg. 64*Chapter Five. Invariant subspaces and Jordan form, pg. 83*Chapter Six. Invariant neutral and semidefinite subspaces, pg. 131*Chapter Seven. Smith form and Kronecker canonical form, pg. 153*Chapter Eight. Pencils of hermitian matrices, pg. 172*Chapter Nine. Skewhermitian and mixed pencils, pg. 194*Chapter Ten. Indefinite inner products: Conjugation, pg. 228*Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution, pg. 261*Chapter Twelve. Mixed matrix pencils: Nonstandard involutions, pg. 279*Chapter Thirteen. Indefinite inner products: Nonstandard involution, pg. 300*Chapter Fourteen. Matrix equations, pg. 328*Chapter Fifteen. Appendix: Real and complex canonical forms, pg. 339*Bibliography, pg. 353*Index, pg. 361
Reviews
Rodman fills a void in the monographic literature with this work. --Choice
Rodman fills a void in the monographic literature with this work ... --Choice
One of Choice's Outstanding Academic Titles for 2015 Rodman fills a void in the monographic literature with this work. --Choice The book is self-contained and well organized... Full and detailed proofs are supplied. Another exciting point is the presence of many open problems throughout the book. --Gisele C. Ducati, MatchSciNet
Author Information
Leiba Rodman is professor of mathematics at the College of William & Mary. His books include Matrix Polynomials, Algebraic Riccati Equations, and Indefinite Linear Algebra and Applications.
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