Vectors, pure and applied : a general introduction to linear algebra /

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"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 analysi...

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Bibliographic Details
Main Author: Körner, T. W.
Format: Printed Book
Language:English
Published: New Delhi: Cambridge University Press, 2013.
Subjects:
Vector algebra.
Algebras, Linear.
MATHEMATICS / Algebra / General.
Online Access:Cover image
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084 |a MAT002000  |2 bisacsh 
100 1 |a Körner, T. W. 
245 1 0 |a Vectors, pure and applied :  |b a general introduction to linear algebra /  |c T.W. Körner, Trinity Hall, Cambridge. 
260 |a New Delhi:  |b Cambridge University Press,  |c 2013. 
300 |a xii, 444 pages :  |b illustrations ;  |c 26 cm 
504 |a Includes bibliographical references (pages 438-439) and index. 
505 8 |a 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. 
520 |a "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"-- 
650 0 |a Vector algebra. 
650 0 |a Algebras, Linear. 
650 7 |a MATHEMATICS / Algebra / General.  |2 bisacsh 
856 4 2 |3 Cover image  |u http://assets.cambridge.org/97811070/33566/cover/9781107033566.jpg 
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955 |b rg11 2012-09-11  |c rg11 2012-09-18 ONIX to Gen Sci/Tech (STM)  |a xn02 2013-02-20 1 copy rec'd., to CIP ver. 
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