Linear Algebra / Edition 2

by Larry Smith

Overview

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in the theory of differential equations.

Product Details

ISBN-13:	9781468402544
Publisher:	Springer New York
Publication date:	01/28/2012
Series:	Undergraduate Texts in Mathematics
Edition description:	Softcover reprint of the original 2nd ed. 1984
Pages:	364
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

About the Author

SMITH Magazine founding editor Larry Smith has worked as an editor at Men's Journal, ESPN: The Magazine, and Might. His writing has appeared in the New York Times, the Los Angeles Times, Popular Science, on Salon.com, and many other places. Larry lives in New York City

Table of Contents

1 Vectors in the plane and space.- 2 Vector spaces.- 3 Subspaces.- 4 Examples of vector spaces.- 5 Linear independence and dependence.- 6 Bases and finite-dimensional vector spaces.- 7 The elements of vector spaces: a summing up.- 8 Linear transformations.- 9 Linear transformations: some numerical examples.- 10 Matrices and linear transformations.- 11 Matrices.- 12 Representing linear transformations by matrices.- 12bis More on representing linear transformations by matrices.- 13 Systems of linear equations.- 14 The elements of eigenvalue and eigenvector theory.- 14bis Multilinear algebra: determinants.- 15 Inner product spaces.- 16 The spectral theorem and quadratic forms.- 17 Jordan canonical form.- 18 Applications to linear differential equations.- List of notations.