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

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

by T. W. Körner
ISBN-10:
1107675227
ISBN-13:
9781107675223
Pub. Date:
12/13/2012
Publisher:
Cambridge University Press
ISBN-10:
1107675227
ISBN-13:
9781107675223
Pub. Date:
12/13/2012
Publisher:
Cambridge University Press
Vectors, Pure and Applied: A General Introduction to Linear Algebra

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

by T. W. Körner
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Overview

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.

Product Details

ISBN-13: 9781107675223
Publisher: Cambridge University Press
Publication date: 12/13/2012
Edition description: New Edition
Pages: 452
Product dimensions: 6.81(w) x 10.04(h) x 0.94(d)

About the Author

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.

Table of Contents

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.
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