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010   $a981-13-0926-4
010   $a978-981-13-0926-7
024 7 $a10.1007/978-981-13-0926-7
035   $a(CKB)4100000005323365
035   $a(DE-He213)978-981-13-0926-7
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035   $a(PPN)186247575
035   $a(EXLCZ)994100000005323365
100   $a20180717d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLinear Algebra /$fby M. Thamban Nair, Arindama Singh
205   $a1st ed. 2018.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018.
215   $a1 online resource (XI, 341 p. 2 illus.) 
311   $a981-13-0925-6 
320   $aIncludes bibliographical references and index.
327   $aChapter 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.
330   $aThis 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.
606   $aAlgebras, Linear
606   $aMatrix theory
606   $aAlgebra
606   $aMathematics?Study and teaching 
606   $aLinear Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11100
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000
615  0$aAlgebras, Linear.
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aMathematics?Study and teaching .
615 14$aLinear Algebra.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aMathematics Education.
676   $a551.48
700   $aNair$b M. Thamban$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767986
702   $aSingh$b Arindama$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300119703321
996   $aLinear Algebra$91963845
997   $aUNINA