The Resource Topics in quaternion linear algebra, Leiba Rodman
Topics in quaternion linear algebra, Leiba Rodman
 Summary
 Quaternions are a number system that has become increasingly useful for representing the rotations of objects in threedimensional 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 selfcontained 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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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
 Language
 eng
 Extent
 1 online resource.
 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
 Isbn
 9781400852741
 Label
 Topics in quaternion linear algebra
 Title
 Topics in quaternion linear algebra
 Statement of responsibility
 Leiba Rodman
 Language
 eng
 Summary
 Quaternions are a number system that has become increasingly useful for representing the rotations of objects in threedimensional 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 selfcontained 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
 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
 Label
 Topics in quaternion linear algebra, Leiba Rodman
 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=ebscotest&password=ebscotest
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/TopicsinquaternionlinearalgebraLeiba/fyt7wV9dH7c/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/TopicsinquaternionlinearalgebraLeiba/fyt7wV9dH7c/">Topics in quaternion linear algebra, Leiba Rodman</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>