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Book 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)

Book details

Book category Books in German Naturwissenschaften, Medizin, Informatik, Technik Mathematik Geometrie

• Full title: Linear Algebra I: Basic Concepts
• Author: Masaaki Sugihara
• Language: English
• Binding: Hardback
• Number of pages: 316
• EAN: 9789811257025
• ISBN: 9811257027
• ID: 38996539
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 610 g
• Dimensions: 235 × 157 × 21 mm
• Date of publishing: 11. August 2022

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