CiNii Books - Linear algebra

Author(s)

- Murota, Kazuo
- Sugihara, Masaaki

Bibliographic Information

Linear algebra

Kazuo Murota (the Institute of Statistical Mathematics, Japan, Professor Emeritus at the University of Tokyo, Japan & Kyoto University, Japan & Tokyo Metropolitan University, Japan), Masaaki Sugihara (Professor Emeritus at the University of Tokyo, Japan & Nagoya University, Japan)

（UTokyo Engineering Course/Basic Mathematics）

Maruzen Publishing : World Scientific, [2022]

Other Title: Senkei daisū

Uniform Title: Senkei daisū

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Note

Content Type: text (rdacontent), Media Type: unmediated (rdamedia), Carrier Type: volume (rdacarrier)

"These volumes were originally written in Japanese and published from Maruzen Publishing in 2013 and 2015. The present English version is their almost faithful translations by the authors"-- preface

Includes bibliographical references and index

Summary: "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 (expan

Contents of Works

[Volume] 1. Basic concepts
[Volume] 2. Advanced topics for applications

Description and Table of Contents

Description

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.

by "Nielsen BookData"