000 02207 a2200277 4500
003 OSt
005 20250217140432.0
008 241015b |||||||| |||| 00| 0 eng d
020 _a9780691161853 (hbk.)
_c₹ 7800.00
040 _bENG
_cIISER-BPR
041 _aENG
082 _a512.5
_bROD
_223rd
100 _aRodman, Leiba
_9240
222 _aMathematics
245 _aTopics in quaternion linear algebra
250 _a1st ed.
260 _aNew Jersey:
_bPrinceton University Press,
_cc2014.
300 _axiii, 363p. :
_c26cm.
440 _aPrinceton Series in Applied Mathematics
_9241
504 _aIncludes appendices, bibliographic references and subject index.
520 _aQuaternions 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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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.
650 _aMathematics
_9242
650 _aLinear Algebra
_92971
650 _aQuaternion Linear Algebra
_9243
942 _2ddc
_cBK
999 _c4192
_d4192