Paperback. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Linear Algebra I: Basic Concepts (Paperback)
Publisher: World Scientific Publishing Co Pte Ltd, Singapore
Publication Date: 2022
Language: English
ISBN 10: 9811257973
ISBN 13: 9789811257971
Binding: Paperback
Condition: new

About this title

Synopsis

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)

"About this title" may belong to another edition of this title.

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