Linear Algebra I: Basic Concepts
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Book Overview This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course. The objective ...
This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.
The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.
In particular, the following four aspects are emphasized.
- How matrices arise (discretization of differential equations, description of system structures, description of transition probability)
- What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices)
- What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness)
- How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)
Book Details Format: Paperback | Pages: 316 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811257973
FormatPaperback
Pages316
LanguageEnglish
ISBN9811257973
EAN9789811257971
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeQUALITY PAPERBACK BOOKS
Weight0.93 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.66 Inches
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