Advanced linear algebra. ([2016])
- Record Type:
- Book
- Title:
- Advanced linear algebra. ([2016])
- Main Title:
- Advanced linear algebra
- Further Information:
- Note: Bruce Cooperstein.
- Authors:
- Cooperstein, Bruce, 1950-
- Contents:
- Vector Spaces; Fields; The Space Fn ; Vector Spaces over an Arbitrary Field; Subspaces of Vector Spaces; Span and Independence; Bases and Finite Dimensional Vector Spaces; Bases and Infinite Dimensional Vector Spaces; Coordinate Vectors Linear Transformations; Introduction to Linear Transformations; The Range and Kernel of a Linear Transformation; The Correspondence and Isomorphism Theorems; Matrix of a Linear Transformation; The Algebra of L (V, W ) and Mmn (F); Invertible Transformations and Matrices Polynomials; The Algebra of Polynomials; Roots of Polynomials Theory of a Single Linear Operator; Invariant Subspaces of an Operator; Cyclic Operators; Maximal Vectors; Indecomposable Linear Operators; Invariant Factors and Elementary Divisors; Canonical Forms; Operators on Real and Complex Vector Spaces Inner Product Spaces; Inner Products; Geometry in Inner Product Spaces; Orthonormal Sets and the Gram–Schmidt Process; Orthogonal Complements and Projections; Dual Spaces; Adjoints Linear Operators on Inner Product Spaces; Self-Adjoint and Normal Operators; Spectral Theorems; Normal Operators on Real Inner Product Spaces; Unitary and Orthogonal Operators; Polar Decomposition and Singular Value Decomposition Trace and Determinant of a Linear Operator; Trace of a Linear Operator; Determinant of a Linear Operator and Matrix; Uniqueness of the Determinant of a Linear Operator Bilinear Maps and Forms; Basic Properties of Bilinear Maps; Symplectic Spaces; Quadratic Forms andVector Spaces; Fields; The Space Fn ; Vector Spaces over an Arbitrary Field; Subspaces of Vector Spaces; Span and Independence; Bases and Finite Dimensional Vector Spaces; Bases and Infinite Dimensional Vector Spaces; Coordinate Vectors Linear Transformations; Introduction to Linear Transformations; The Range and Kernel of a Linear Transformation; The Correspondence and Isomorphism Theorems; Matrix of a Linear Transformation; The Algebra of L (V, W ) and Mmn (F); Invertible Transformations and Matrices Polynomials; The Algebra of Polynomials; Roots of Polynomials Theory of a Single Linear Operator; Invariant Subspaces of an Operator; Cyclic Operators; Maximal Vectors; Indecomposable Linear Operators; Invariant Factors and Elementary Divisors; Canonical Forms; Operators on Real and Complex Vector Spaces Inner Product Spaces; Inner Products; Geometry in Inner Product Spaces; Orthonormal Sets and the Gram–Schmidt Process; Orthogonal Complements and Projections; Dual Spaces; Adjoints Linear Operators on Inner Product Spaces; Self-Adjoint and Normal Operators; Spectral Theorems; Normal Operators on Real Inner Product Spaces; Unitary and Orthogonal Operators; Polar Decomposition and Singular Value Decomposition Trace and Determinant of a Linear Operator; Trace of a Linear Operator; Determinant of a Linear Operator and Matrix; Uniqueness of the Determinant of a Linear Operator Bilinear Maps and Forms; Basic Properties of Bilinear Maps; Symplectic Spaces; Quadratic Forms and Orthogonal Space; Real Quadratic Forms Tensor Products; Introduction to Tensor Products; Properties of Tensor Products; The Tensor Algebra; The Symmetric and Exterior Algebras Appendix A: Answers to Selected Exercises ; Appendix B: Hints to Selected Problems Index … (more)
- Publisher Details:
- Boca Raton, FL : CRC Press
- Publication Date:
- 2016
- Copyright Date:
- 2010
- Extent:
- 1 online resource
- Subjects:
- 512.5
Algebras, Linear
MATHEMATICS / Algebra / Intermediate
Algebras, Linear
Electronic books - Languages:
- English
- ISBNs:
- 9781439829691
1439829691 - Related ISBNs:
- 9781439829660
- Notes:
- Note: Online resource; title from PDF title page (EBSCO, viewed April 13, 2017).
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.149088
- Ingest File:
- 01_119.xml