CART

(0) items

Introduction to Linear Algebra 4e

by
Edition:
4th
ISBN13:

9780980232714

ISBN10:
0980232716
Format:
Hardcover
Pub. Date:
2/1/2009
Publisher(s):
Wellesley Cambridge Pr
List Price: $87.50

Rent Textbook

(Recommended)
 
Term
Due
Price
$30.63

Hurry!

Only three copies
in stock at this price.

Buy Used Textbook

In Stock Usually Ships in 24 Hours.
U9780980232714
$55.13

eTextbook

We're Sorry
Not Available

New Textbook

We're Sorry
Sold Out

More New and Used
from Private Sellers
Starting at $27.00
See Prices

Questions About This Book?

Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the 4th edition with a publication date of 2/1/2009.
What is included with this book?
  • The Used copy of this book is not guaranteed to inclue any supplemental materials. Typically, only the book itself is included.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.

Summary

This leading textbook for first courses in linear algebra comes from the hugely experienced MIT lecturer and author Gilbert Strang. The book's tried and tested approach is direct, offering practical explanations and examples, while showing the beauty and variety of the subject. Unlike most other linear algebra textbooks, the approach is not a repetitive drill. Instead it inspires an understanding of real mathematics. The book moves gradually and naturally from numbers to vectors to the four fundamental subspaces. This new edition includes challenge problems at the end of each section. Preview five complete sections at math.mit.edu/linearalgebra. Readers can also view freely available online videos of Gilbert Strang's 18.06 linear algebra course at MIT, via OpenCourseWare (ocw.mit.edu), that have been watched by over a million viewers. Also on the web (http://web.mit.edu/18.06/www/), readers will find years of MIT exam questions, MATLAB help files and problem sets to practise what they have learned.

Table of Contents

Introduction to Vectors
Vectors and linear combinations
Lengths and dot products
Matrices
Solving Linear Equations
Vectors and linear equations
The idea of elimination
Elimination using matrices
Rules for matrix operations
Inverse matrices
Elimination = factorization: A = LU
Transposes and permutations
Vector Spaces and Subspaces
Spaces of vectors
The nullspace of A: solving Ax = 0
The rank and the row reduced form
The complete solution to Ax = b
Independence, basis and dimension
Dimensions of the four subspaces
Orthogonality
Orthogonality of the four subspaces
Projections
Least squares approximations
Orthogonal bases and Gram-Schmidt
Determinants
The properties of determinants
Permutations and cofactors
Cramer's rule, inverses, and Volumes
Eigenvalues and Eigenvectors
Introduction to eigenvalues
Diagonalizing a matrix
Applications to differential equations
Symmetric matrices
Positive definite matrices
Similar matrices
Singular value decomposition (SVD)
Linear Transformations
The idea of a linear transformation
The matrix of a linear transformation
Diagonalization and the pseudoinverse
Applications
Matrices in engineering
Graphs and networks
Markov matrices, population, and economics
Linear programming
Fourier series: linear algebra for functions
Linear algebra for statistics and probability
Computer graphics
Numerical Linear Algebra
Gaussian elimination in practice
Norms and condition numbers
Iterative methods for linear algebra
Complex Vectors and Matrices
Complex numbers
Hermitian and unitary matrices
The fast Fourier transform
Solutions to selected exercises
Matrix factorizations
Conceptual questions for review
Glossary: a dictionary for linear algebra
Index
Teaching codes
Table of Contents provided by Publisher. All Rights Reserved.


Please wait while the item is added to your cart...