By Leiba Rodman

Quaternions are a bunch approach that has develop into more and more beneficial for representing the rotations of items in third-dimensional house and has vital purposes in theoretical and utilized arithmetic, physics, desktop technology, and engineering. this can be the 1st e-book to supply a scientific, available, and self-contained exposition of quaternion linear algebra. It positive aspects formerly unpublished learn effects with whole proofs and lots of open difficulties at a variety of degrees, in addition to greater than two hundred routines to facilitate use via scholars and teachers. purposes provided within the publication comprise numerical levels, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.

Designed for researchers and scholars throughout numerous disciplines, the e-book will be learn via somebody with a history in linear algebra, rudimentary advanced research, and a few multivariable calculus. teachers will locate it worthy as a complementary textual content for undergraduate linear algebra classes or as a foundation for a graduate path in linear algebra. The open difficulties can function study initiatives for undergraduates, subject matters for graduate scholars, or difficulties to be tackled via expert learn mathematicians. The publication is additionally a useful reference software for researchers in fields the place options in accordance with quaternion research are used.

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