Linear Algebra Via Exterior Products by Sergei Winitzki

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Linear Algebra Via Exterior Products by Sergei Winitzki

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Linear Algebra Via Exterior Products by Sergei Winitzki

This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.

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SKU Unavailable
ISBN 13 9781409294962
ISBN 10 140929496X
Title Linear Algebra Via Exterior Products
Author Sergei Winitzki
Condition Unavailable
Binding Type Paperback
Publisher Lulu.com
Year published 2010-01-04
Number of pages 285
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.