Advanced linear algebra. (2016)
- Record Type:
- Book
- Title:
- Advanced linear algebra. (2016)
- Main Title:
- Advanced linear algebra
- Further Information:
- Note: Hugo Woerdeman.
- Authors:
- Woerdeman, Hugo J (Hugo Jan), 1962-
- Contents:
- Fields and Matrix Algebra; The Field Z3 ; The Field Axioms; Field Examples; Matrix Algebra over Different Fields; Exercises; ; Vector Spaces; Definition of a Vector Space; Vector Spaces of Functions; Subspaces and More Examples of Vector Spaces; Linear Independence, Span, and Basis; Coordinate Systems; Exercises; ; Linear Transformations; Definition of a Linear Transformation; Range and Kernel of Linear Transformations; Matrix Representations of Linear Maps; Exercises; ; The Jordan Canonical Form; The Cayley-Hamilton Theorem; Jordan Canonical Form for Nilpotent Matrices; An Intermezzo about Polynomials; The Jordan Canonical Form; The Minimal Polynomial; Commuting Matrices; Systems of Linear Differential Equations; Functions of Matrices; The Resolvent; Exercises; ; Inner Product and Normed Vector Spaces; Inner Products and Norms; Orthogonal and Orthonormal Sets and Bases; The Adjoint of a Linear Map; Unitary Matrices, QR, and Schur Triangularization; Normal and Hermitian Matrices; Singular Value Decomposition; Exercises; ; Constructing New Vector Spaces from Given Ones; The Cartesian Product; The Quotient Space; The Dual Space; Multilinear Maps and Functionals; The Tensor Product; Anti-Symmetric and Symmetric Tensors; Exercises; ; How to Use Linear Algebra; Matrices You Can't Write Down, but Would Still Like to Use; Algorithms Based on Matrix Vector Products; Why Use Matrices When Computing Roots of Polynomials?; How to Find Functions with Linear Algebra?; How to Deal withFields and Matrix Algebra; The Field Z3 ; The Field Axioms; Field Examples; Matrix Algebra over Different Fields; Exercises; ; Vector Spaces; Definition of a Vector Space; Vector Spaces of Functions; Subspaces and More Examples of Vector Spaces; Linear Independence, Span, and Basis; Coordinate Systems; Exercises; ; Linear Transformations; Definition of a Linear Transformation; Range and Kernel of Linear Transformations; Matrix Representations of Linear Maps; Exercises; ; The Jordan Canonical Form; The Cayley-Hamilton Theorem; Jordan Canonical Form for Nilpotent Matrices; An Intermezzo about Polynomials; The Jordan Canonical Form; The Minimal Polynomial; Commuting Matrices; Systems of Linear Differential Equations; Functions of Matrices; The Resolvent; Exercises; ; Inner Product and Normed Vector Spaces; Inner Products and Norms; Orthogonal and Orthonormal Sets and Bases; The Adjoint of a Linear Map; Unitary Matrices, QR, and Schur Triangularization; Normal and Hermitian Matrices; Singular Value Decomposition; Exercises; ; Constructing New Vector Spaces from Given Ones; The Cartesian Product; The Quotient Space; The Dual Space; Multilinear Maps and Functionals; The Tensor Product; Anti-Symmetric and Symmetric Tensors; Exercises; ; How to Use Linear Algebra; Matrices You Can't Write Down, but Would Still Like to Use; Algorithms Based on Matrix Vector Products; Why Use Matrices When Computing Roots of Polynomials?; How to Find Functions with Linear Algebra?; How to Deal with Incomplete Matrices; Solving Millennium Prize Problems with Linear Algebra; How Secure Is RSA Encryption?; Quantum Computation and Positive Maps; Exercises; ; How to Start Your Own Research Project; ; Answers to Exercises; … (more)
- Edition:
- 1st
- Publisher Details:
- Boca Raton : Chapman & Hall/CRC
- Publication Date:
- 2016
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 512.5
Algebras, Linear - Languages:
- English
- ISBNs:
- 9781498754064
9781498754040
9781498754057 - Related ISBNs:
- 9781498754033
- Notes:
- Note: Description based on CIP data; item not viewed.
- 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.137392
- Ingest File:
- 02_020.xml