# Vectors, pure and applied : a general introduction to linear algebra / T.W. Körner, Trinity Hall, Cambridge.

##### By: Körner, T. W. (Thomas William).

Material type: TextPublisher: Chennai; Cambridge University Press c2013Edition: first south asian edition 2014.Description: xii, 444 pages : illustrations ; 26 cm.ISBN: 9781107444416 (pbk.).Subject(s): Vector algebra | Algebras, Linear | MATHEMATICS / Algebra / GeneralDDC classification: 516.182 Online resources: Cover imageItem type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Book | Chennai Mathematical Institute General Stacks | 512.5 KOR (Browse shelf) | Available | 9368 |

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512.5 EVA Syzygies / | 512.5 GOL The linear algebra a beginning graduate student ought to know / | 512.5 KAT A (terse) introduction to linear algebra / | 512.5 KOR Vectors, pure and applied : a general introduction to linear algebra / | 512.5 KUM Linear Algebra a geometric approach. | 512.5 KUM Linear Algebra a geometric approach. | 512.5 KUM Linear Algebra a geometric approach. |

Formerly CIP. Uk

Includes bibliographical references (pages 438-439) and index.

Machine generated contents note: Introduction; Part I. Familiar Vector Spaces: 1. Gaussian elimination; 2. A little geometry; 3. The algebra of square matrices; 4. The secret life of determinants; 5. Abstract vector spaces; 6. Linear maps from Fn to itself; 7. Distance preserving linear maps; 8. Diagonalisation for orthonormal bases; 9. Cartesian tensors; 10. More on tensors; Part II. General Vector Spaces: 11. Spaces of linear maps; 12. Polynomials in L(U,U); 13. Vector spaces without distances; 14. Vector spaces with distances; 15. More distances; 16. Quadratic forms and their relatives; Bibliography; Index.

"Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online"-- Gifted by NBHM.