Vectors, Pure and Applied - A General Introduction to Linear Algebra

Informationen zum Autor 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. Klappentext Explains both the how and the why of linear algebra to get students thinking like mathematicians. Zusammenfassung Whilst many books in linear algebra focus purely on getting students through exams! this text explains both the how and the why of linear algebra! preparing students for further work in abstract algebra! analysis or physics. Its numerous exercises include questions to challenge even the most able student. Inhaltsverzeichnis 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.

Product details

• Authors: T. W. Korner, T. W. Körner
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 13.12.2012
• EAN: 9781107675223
• ISBN: 978-1-107-67522-3
• No. of pages: 452
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General, Mathematics, geometry, Algebraic Geometry, Algebraic Topology