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

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	Title:	Vectors, Pure and Applied: A General Introduction to Linear Algebra
	Author:	T. W. Körner
	Publisher:	2013-01-28
	Format:	Online PDF (452 pages, 2MB)
	Language:	English
	ISBN-10:	110703356X
	ISBN-13:	9781107033566
Download Free Pdf Ebooks Vectors, Pure and Applied: A General Introduction to Linear Algebra.Plot: 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.

Table of Contents

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

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