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LINEAR ALGEBRA I: BASIC CONCEPTS

LINEAR ALGEBRA I: BASIC CONCEPTS

LINEAR ALGEBRA I: BASIC CONCEPTS Paperback - 2022

by MUROTA KAZUO

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 l
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Details

  • Title LINEAR ALGEBRA I: BASIC CONCEPTS
  • Author MUROTA KAZUO
  • Binding Paperback
  • Condition New
  • Pages 316
  • Volumes 1
  • Language ENG
  • Publisher Co-Published with World Scientific
  • Publication date 2022-07-25
  • Bookseller's Inventory # ria9789811257971_inp
  • ISBN 9789811257971 / 9811257973
  • Weight 0.93 lbs (0.42 kg)
  • Dimensions 9 x 6 x 0.66 in (22.86 x 15.24 x 1.68 cm)
  • Category Mathematics
  • Quantity available 1048

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Reader reviews for LINEAR ALGEBRA I: BASIC CONCEPTS

From the publisher

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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