Description
Vectors, Pure and Applied
A General Introduction to Linear Algebra
Author: Körner T. W.
Explains both the how and the why of linear algebra to get students thinking like mathematicians.
Language: EnglishSubject for Vectors, Pure and Applied:
Approximative price 39.35 €
In Print (Delivery period: 14 days).
Add to cart the book of Körner T. W.
Vectors, Pure and Applied
Publication date: 12-2012
452 p. · 17.3x25.5 cm · Paperback
Publication date: 12-2012
452 p. · 17.3x25.5 cm · Paperback
Approximative price 165.09 €
In Print (Delivery period: 14 days).
Add to cart the book of Körner T. W.
Vectors, Pure and Applied
Publication date: 12-2012
458 p. · 17x24.4 cm · Hardback
Publication date: 12-2012
458 p. · 17x24.4 cm · Hardback
Description
/li>Contents
/li>Biography
/li>
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.
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.
T. W. Körner is Professor of Fourier Analysis in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. His previous books include Fourier Analysis and The Pleasures of Counting.
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