Linear Algebra A Geometric Approach,9780716743378

Linear Algebra A Geometric Approach

by ;
Edition: 1st
ISBN13: 9780716743378
ISBN10: 071674337X
Format: Hardcover
Pub. Date: 2001-08-24
Publisher(s): W. H. Freeman
  • Free Shipping Icon

    This Item Qualifies for Free Shipping!*

    *Excludes marketplace orders.

List Price: $170.23

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

New Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $13.74

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

Introducing students to a subject that lies at the foundations of modern mathematics, physics, statistics, and many other disciplines,Linear Algebra: A Geometric Approachappeals to science and engineering students as well as mathematics students making the transition to more abstract advanced courses. One of the goals of this text is to help students learn to think about mathematical concepts and to write rigorous mathematical arguments. The authors do not presuppose any exposure to vectors or vector algebra, and only a passing acquaintance with the derivative and integral is required for certain (optional) topics.

Table of Contents

Preface vii
Foreword to the Instructor xiii
Foreword to the Student xvii
Vectors and Matrices
1(94)
Vectors
2(19)
Dot Product
21(12)
Hyperplanes in Rn
33(10)
Systems of Linear Equations and Gaussian Elimination
43(19)
The Theory of Linear Systems
62(14)
Some Applications
76(19)
Matrix Algebra
95(43)
Matrix Operations
95(23)
Inverse Matrices
118(13)
The Transpose
131(7)
Vector Spaces
138(79)
Subspaces of Rn
138(18)
Linear Independence
156(11)
Basis and Dimension
167(10)
The Four Fundamental Subspaces
177(14)
A Graphic Example
191(7)
Abstract Vector Spaces
198(19)
Projections and Linear Transformations
217(56)
Inconsistent Systems and Projection
217(12)
Orthogonal Bases
229(11)
Linear Transformations
240(16)
Change of Basis
256(17)
Determinants
273(30)
Signed Area in R2
273(6)
Determinants
279(11)
Cofactors and Cramer's Rule
290(13)
Eigenvalues and Eigenvectors
303(48)
The Characteristic Polynomial
304(11)
Diagonalizability
315(8)
Applications
323(12)
The Spectral Theorem
335(16)
Further Topics
351(66)
Complex Eigenvalues and Jordan Canonical Form
351(19)
Computer Graphics and Geometry
370(23)
Matrix Exponentials and Differential Equations
393(24)
For Further Reading 417(2)
Answers to Selected Exercises 419(16)
Index 435

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.