國立虎尾科技大學 |

Linear algebra

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear algebra/ by M. Thamban Nair, Arindama Singh.
Author:	Nair, M. Thamban.
other author:	Singh, Arindama.
Published:	Singapore :Springer Singapore : : 2018.,
Description:	xi, 341 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Algebras, Linear. -
Online resource:	http://dx.doi.org/10.1007/978-981-13-0926-7
ISBN:	9789811309267

Linear algebra
Nair, M. Thamban.

Linear algebra[electronic resource] /by M. Thamban Nair, Arindama Singh. - Singapore :Springer Singapore :2018. - xi, 341 p. :ill., digital ;24 cm.

Chapter 1. Vector Spaces -- Chapter 2. Linear Transformations -- Chapter 3. Elementary Operations -- Chapter 4. Inner Product Spaces -- Chapter 5. Eigenvalues and Eigenvectors -- Chapter 6. Block Diagonal Representation -- Chapter 7. Spectral Decomposition.

This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts that are constantly used by scientists and engineers. It also lays the foundation for the language and framework for modern analysis and its applications. Divided into seven chapters, it discusses vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalisation, triangularisation, Jordan form, singular value decomposition, polar decomposition, and many more topics that are relevant to applications. The topics chosen have become well-established over the years and are still very much in use. The approach is both geometric and algebraic. It avoids distraction from the main theme by deferring the exercises to the end of each section. These exercises aim at reinforcing the learned concepts rather than as exposing readers to the tricks involved in the computation. Problems included at the end of each chapter are relatively advanced and require a deep understanding and assimilation of the topics.

ISBN: 9789811309267

Standard No.: 10.1007/978-981-13-0926-7doiSubjects--Topical Terms:

528115
Algebras, Linear.

LC Class. No.: QA184.2 / .N357 2018

Dewey Class. No.: 512.5

Linear algebra
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300 $a xi, 341 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. Vector Spaces -- Chapter 2. Linear Transformations -- Chapter 3. Elementary Operations -- Chapter 4. Inner Product Spaces -- Chapter 5. Eigenvalues and Eigenvectors -- Chapter 6. Block Diagonal Representation -- Chapter 7. Spectral Decomposition.
520 $a This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts that are constantly used by scientists and engineers. It also lays the foundation for the language and framework for modern analysis and its applications. Divided into seven chapters, it discusses vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalisation, triangularisation, Jordan form, singular value decomposition, polar decomposition, and many more topics that are relevant to applications. The topics chosen have become well-established over the years and are still very much in use. The approach is both geometric and algebraic. It avoids distraction from the main theme by deferring the exercises to the end of each section. These exercises aim at reinforcing the learned concepts rather than as exposing readers to the tricks involved in the computation. Problems included at the end of each chapter are relatively advanced and require a deep understanding and assimilation of the topics.
650 0 $a Algebras, Linear. $3 528115
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Linear Algebra. $3 1207620
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Mathematics Education. $3 671509
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950 $a Mathematics and Statistics (Springer-11649)