Linear algebra [2nd ed.] [Perpetual]
By: Rao, A. Ramachandra.
Contributor(s): Bhimasankaram, P.
Series: Texts and readings in mathematics; no.19. / edited by C. S. Seshadri.Publisher: New Delhi Hindustan Book Agency 2000Edition: 2nd ed.ISBN: 9789386279019.Subject(s): Mathematics | Algebras, LinearDDC classification: 510 | R18l2 Online resources: Click here to access online Summary: The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C.R. Rao and S.K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Electronic Resources | 510 R18l2 (Browse shelf) | Available | EBK10673 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: Electronic Resources Close shelf browser
The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C.R. Rao and S.K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques.
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