Linear algebra II: Kazuo Murota Advanced topics for applications

By:

Murota, Kazuo

Contributor(s):

Sugihara, Masaaki

Language: English Original language: Japanese Series: UTokyo Engineering Course/Basic MathematicsPublication details: Singapore: World Scientific Publishing, 2024.Description: xxii, 253p. illustrations ; 24 cmISBN:

9798886130553 (pbk)

Uniform titles:

Senkei daisū. English

Subject(s):

Algebras, Linear -- Textbooks

DDC classification:

512.5 M94L 23/eng/20220914

LOC classification:

TA347.L5 M8713 2022

Contents:

[Volume] 2. Advanced topics for applications.

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 (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)"--

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Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
Books	Central Library, IISER Bhopal On Display	Reference	512.5 M94L (Browse shelf(Opens below))	Not For Loan	NBHM Collection		G0695

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Previous	512.4 J49G Group ring groups : Volume 2: Structure theorems of unit groups/	512.4 J49G Group ring groups : Volume-I: Orders and generic constructions units/	512.482 C421D Dualities and representations of Lie superalgebras	512.5 M94L Linear algebra II: Advanced topics for applications	512.55 D260L Lie groups and Lie algebras for physicists /	512.62 R444C Category theory in context	512.73 Sh61C Codes and modular forms : a dictionary /	Next

"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.

[Volume] 2. Advanced topics for applications.

"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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