Vectors, Pure and Applied

A General Introduction to Linear Algebra

Inbunden, Engelska, 2012

Av T. W. Körner, T. W. Körner, T. W. (University of Cambridge) Korner, T. W. Korner, T. W. Keorner, T. W. Krner

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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 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.

Produktinformation

Utgivningsdatum2012-12-13
Mått170 x 244 x 25 mm
Vikt930 g
FormatInbunden
SpråkEngelska
Antal sidor458
FörlagCambridge University Press
ISBN9781107033566

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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.