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The Resource The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource)
The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource)
Resource Information
The item The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidlygrowing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a selfstudy guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is selfcontained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as well as many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included
 Language
 eng
 Edition
 3rd ed.
 Extent
 1 online resource (xi, 497 pages)
 Note
 Includes index
 Contents

 The Algebra of Square Matrices
 Systems of Linear Equations
 Determinants
 Eigenvalues and Eigenvectors
 Krylov Subspaces
 The Dual Space
 Inner Product Spaces
 Orthogonality
 Selfadjoint Endomorphisms
 Unitary and Normal Endomorphisms
 Notation and Terminology
 MoorePenrose Pseudoinverses
 Bilinear Transformations and Forms
 Fields
 Vector Spaces Over a Field
 Algebras Over a Field
 Linear Independence and Dimension
 Linear Transformations
 The Endomorphism Algebra of a Vector Space
 Representation of Linear Transformations by Matrices
 Isbn
 9789400726369
 Label
 The linear algebra a beginning graduate student ought to know
 Title
 The linear algebra a beginning graduate student ought to know
 Statement of responsibility
 by Jonathan S. Golan
 Language
 eng
 Summary
 Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidlygrowing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a selfstudy guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is selfcontained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as well as many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Golan, Jonathan S
 Image bit depth
 0
 LC call number
 QA184.2
 LC item number
 .G65 2012
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Mathematics
 Algebras, Linear
 Linear and Multilinear Algebras, Matrix Theory
 Associative Rings and Algebras
 Nonassociative Rings and Algebras
 Numeric Computing
 Algebras, Linear
 Label
 The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource)
 Note
 Includes index
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 The Algebra of Square Matrices
 Systems of Linear Equations
 Determinants
 Eigenvalues and Eigenvectors
 Krylov Subspaces
 The Dual Space
 Inner Product Spaces
 Orthogonality
 Selfadjoint Endomorphisms
 Unitary and Normal Endomorphisms
 Notation and Terminology
 MoorePenrose Pseudoinverses
 Bilinear Transformations and Forms
 Fields
 Vector Spaces Over a Field
 Algebras Over a Field
 Linear Independence and Dimension
 Linear Transformations
 The Endomorphism Algebra of a Vector Space
 Representation of Linear Transformations by Matrices
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xi, 497 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Isbn
 9789400726369
 Lccn
 2012933373
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789400726369
 Other physical details
 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)793001285
 (OCoLC)ocn793001285
 Label
 The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource)
 Note
 Includes index
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 The Algebra of Square Matrices
 Systems of Linear Equations
 Determinants
 Eigenvalues and Eigenvectors
 Krylov Subspaces
 The Dual Space
 Inner Product Spaces
 Orthogonality
 Selfadjoint Endomorphisms
 Unitary and Normal Endomorphisms
 Notation and Terminology
 MoorePenrose Pseudoinverses
 Bilinear Transformations and Forms
 Fields
 Vector Spaces Over a Field
 Algebras Over a Field
 Linear Independence and Dimension
 Linear Transformations
 The Endomorphism Algebra of a Vector Space
 Representation of Linear Transformations by Matrices
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xi, 497 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Isbn
 9789400726369
 Lccn
 2012933373
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789400726369
 Other physical details
 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)793001285
 (OCoLC)ocn793001285
Subject
 Algebras, Linear
 Algebras, Linear
 Algebras, Linear
 Algebras, Linear
 Algebras, Linear
 Algebras, Linear
 Associative Rings and Algebras
 Electronic books
 Electronic resources
 Linear and Multilinear Algebras, Matrix Theory
 Mathematics
 Mathematics
 Nonassociative Rings and Algebras
 Numeric Computing
Genre
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