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The Resource Topics in quaternion linear algebra, Leiba Rodman

Topics in quaternion linear algebra, Leiba Rodman

Label
Topics in quaternion linear algebra
Title
Topics in quaternion linear algebra
Statement of responsibility
Leiba Rodman
Creator
Author
Subject
Genre
Language
eng
Summary
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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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
Member of
Cataloging source
EBLCP
Index
index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Princeton series in applied mathematics
Topics in quaternion linear algebra, Leiba Rodman
Label
Topics in quaternion linear algebra, Leiba Rodman
Link
http://www.jstor.org/stable/10.2307/j.ctt6wpz0p
Publication
Copyright
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- The algebra of quaternions -- Vector spaces and matrices: basic theory -- Symmetric matrices and congruence -- Invariant subspaces and Jordan form -- Invariant neutral and semidefinite subspaces -- Smith form and Kronecker canonical from -- Pencils of hermitian matrices -- Skewhermitian and mixed pencils -- Indefinite inner products: conjugation -- Matrix pencils with symmetries: nonstandard involution -- Mixed matrix pencils: nonstandard involutions -- Indefinite inner products: nonstandard involution -- Matrix equations -- Appendix: real and complex canonical forms
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781400852741&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4331680'}
Extent
1 online resource.
Form of item
online
Isbn
9781400852741
Media category
computer
Media MARC source
rdamedia
Media type code
c
Specific material designation
remote

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
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