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)

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
Creator
Contributor
Provider
Subject
Genre
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 rapidly-growing 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 self-study 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 self-contained 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
  • Non-associative Rings and Algebras
  • Numeric Computing
  • Algebras, Linear
Label
The linear algebra a beginning graduate student ought to know, by Jonathan S. Golan, (electronic resource)
Instantiates
Publication
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
  • Moore-Penrose 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
10.1007/978-94-007-2636-9
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)
Publication
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
  • Moore-Penrose 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
10.1007/978-94-007-2636-9
Other physical details
illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)793001285
  • (OCoLC)ocn793001285

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