Topics in Quaternion Linear Algebra

Leiba Rodman

ISBN 10: 0691161852 / ISBN 13: 9780691161853

Verlag: Princeton University Press, 2014

New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers WP-9780691161853

Inhaltsangabe:

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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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.

Über die Autorin bzw. den Autor: 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.

Bibliografische Details

Titel: Topics in Quaternion Linear Algebra
Verlag: Princeton University Press
Erscheinungsdatum: 2014
Einband: HRD
Zustand: New