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Elementary Linear Algebra, 8th Edition,9780471170556
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Elementary Linear Algebra, 8th Edition

by
Edition:
8th
ISBN13:

9780471170556

ISBN10:
0471170550
Format:
Hardcover
Pub. Date:
1/1/2000
Publisher(s):
Wiley
List Price: $140.60

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Questions About This Book?

What version or edition is this?
This is the 8th edition with a publication date of 1/1/2000.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

Summary

A first course in linear algebra for mathematics, engineering and computer science students.Praised over many editions for its expository style and clarity of presentation, the revision of this best-selling text combines linear algebra theory with applications, and addresses a new generation of students' changing needs..This text can be used in a first or second year 1- or 2- semester course. Calculus is not a prerequisite, but there are exercises, examples, and applications for students with calculus backgrounds; they are clearly marked and can be omitted with no loss of continuity.

Table of Contents

Systems of Linear Equations and Matrices
1(81)
Introduction to Systems of Linear Equations
2(6)
Gaussian Elimination
8(15)
Matrices and Matrix Operations
23(14)
Inverses; Rules of Matrix Arithmetic
37(13)
Elementary Matrices and a Method for Finding A-1
50(9)
Further Results on Systems of Equations and Invertibility
59(7)
Diagonal, Triangular, and Symmetric Matrices
66(15)
Determinants
81(38)
The Determinant Function
82(7)
Evaluating Determinants by Row Reduction
89(6)
Properties of the Determinant Function
95(9)
Cofactor Expansion; Cramer's Rule
104(15)
Vectors in 2-Space and 3-Space
119(42)
Introduction to Vectors (Geometric)
120(6)
Norm of a Vector; Vector Arithmetic
126(4)
Dot Product; Projections
130(8)
Cross Product
138(11)
Lines and Planes in 3-Space
149(12)
Euclidean Vector Spaces
161(42)
Euclidean n-Space
162(11)
Linear Transformations from Rn to Rm
173(16)
Properties of Linear Transformations from Rn to Rm
189(14)
General Vector Spaces
203(72)
Real Vector Spaces
204(7)
Subspaces
211(10)
Linear Independence
221(10)
Basis and Dimension
231(15)
Row Space, Column Space, and Nullspace
246(13)
Rank and Nullity
259(16)
Inner Product Spaces
275(62)
Inner Products
276(11)
Angle and Orthogonality in Inner Product Spaces
287(11)
Orthonormal Bases; Gram-Schmidt Process; QR-Decomposition
298(13)
Best Approximation; Least Squares
311(9)
Orthogonal Matrices; Change of Basis
320(17)
Eigenvalues, Eigenvectors
337(28)
Eigenvalues and Eigenvectors
338(9)
Diagonalization
347(10)
Orthogonal Diagonalization
357(8)
Linear Transformations
365(54)
General Linear Transformations
366(10)
Kernel and Range
376(6)
Inverse Linear Transformations
382(8)
Matrices of General Linear Transformations
390(12)
Similarity
402(17)
Additional Topics
419(68)
Application to Differential Equations
420(6)
Geometry of Linear Operators on R2
426(11)
Least Squares Fitting to Data
437(5)
Approximation Problems; Fourier Series
442(5)
Quadratic Forms
447(7)
Diagonalizing Quadratic Forms; Conic Sections
454(9)
Quadric Surfaces
463(5)
Comparison of Procedures for Solving Linear Systems
468(9)
LU-Decompositions
477(10)
Complex Vector Spaces
487(44)
Complex Numbers
488(6)
Division of Complex Numbers
494(6)
Polar Form of a Complex Number
500(6)
Complex Vector Spaces
506(7)
Complex Inner Product Spaces
513(7)
Unitary, Normal, and Hermitian Matrices
520(11)
Answers to Exercises 531(48)
Photo Credits 579(2)
Index 581


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