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Linear Algebra I: Basic Concepts

Language EnglishEnglish
Book Hardback
Book Linear Algebra I: Basic Concepts Masaaki Sugihara
Libristo code: 38996539
Publishers World Scientific Publishing Co Pte Ltd, August 2022
This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UToky... Full description
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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
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

Categories

Mathematics & Science > Mathematics > Algebra
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