Advanced Linear Algebra

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A01=Hugo Woerdeman
A11b11 A11b12 A12b11 A12b12 A11b21
Additive Inverse
Advanced Linear algebra
Anti-symmetric Tensor
Author_Hugo Woerdeman
Category=PB
Category=PBF
Category=PBW
Completely Positive Maps
dual vector spaces
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Field Axioms
Finite Dimensional Spaces
Finite Dimensional Vector Space
finite field applications
Gram Schmidt Process
inner product theory
Jordan Block
Jordan Canonical Form
Jordan form
Linear Algebra
linear algebra research techniques
Linear Map
Linear Transformations
Linearly Independent
Matrix Algebra
Matrix Theory
Minimal Polynomial
Multiplicative Inverse
normed space analysis
Partial Matrix
Positive Semidefinite
QR Algorithm
QR Factorization
quotient spaces
Riemann Hypothesis
Row Echelon Form
Row Reduced Echelon Form
Row Reduction
spectral decomposition
Tensor Product
Vector Space
Vector Space V1
Vector Spaces

Product details

  • ISBN 9781498754033
  • Weight: 635g
  • Dimensions: 156 x 234mm
  • Publication Date: 17 Dec 2015
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.

Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.

Hugo J. Woerdeman, PhD, professor, Department of Mathematics, Drexel University, Philadelphia, Pennsylvania, USA

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