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Advanced linear algebra with applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advanced linear algebra with applicationsby Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque.
作者:	Ashraf, Mohammad.
其他作者:	Filippis, Vincenzo de.
出版者:	Singapore :Springer Nature Singapore :2022.
面頁冊數:	xvi, 495 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Algebras, Linear.
電子資源:	https://doi.org/10.1007/978-981-16-2167-3
ISBN:	9789811621673$q(electronic bk.)

Advanced linear algebra with applications
Ashraf, Mohammad.

Advanced linear algebra with applications[electronic resource] /by Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque. - Singapore :Springer Nature Singapore :2022. - xvi, 495 p. :ill. (some col.), digital ;24 cm.

Algebraic Structures -- Matrices and Systems of Linear Equations -- Vector Spaces -- Linear Transformations -- Dual Spaces -- Inner Product Spaces -- Canonical Forms of an Operator -- Bilinear and Quadratic Forms -- Sesquilinear and Hermitian Forms -- Applications of Linear Algebra to Numerical Methods -- Affine and Euclidean Spaces and the Applications of Linear Algebra to Geometry -- Ordinary differential equations and linear systems of ordinary differential equations.

This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.

ISBN: 9789811621673$q(electronic bk.)

Standard No.: 10.1007/978-981-16-2167-3doiSubjects--Topical Terms:

183087
Algebras, Linear.

LC Class. No.: QA184.2 / .A74 2022

Dewey Class. No.: 512.5

Advanced linear algebra with applications
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505 0 $a Algebraic Structures -- Matrices and Systems of Linear Equations -- Vector Spaces -- Linear Transformations -- Dual Spaces -- Inner Product Spaces -- Canonical Forms of an Operator -- Bilinear and Quadratic Forms -- Sesquilinear and Hermitian Forms -- Applications of Linear Algebra to Numerical Methods -- Affine and Euclidean Spaces and the Applications of Linear Algebra to Geometry -- Ordinary differential equations and linear systems of ordinary differential equations.
520 $a This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.
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