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Linear Algebra I: Basic Concepts
Language
English
English
Book
Hardback
This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UToky...
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Libristo code: 38996539
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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)
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About the book
Full name
Linear Algebra I: Basic Concepts
Author
Masaaki Sugihara
Language
English
English
Binding
Book - Hardback
Date of issue
2022
Number of pages
316
EAN
9789811257025
ISBN
9811257027
Libristo code
38996539
Publishers
World Scientific Publishing Co Pte Ltd
Weight
610
Dimensions
157 x 235 x 21
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