Star Wars Sale
 
 

Special Offers see all

Enter to WIN!

Weekly drawing for $100 credit. Subscribe to PowellsBooks.news for a chance to win.
Privacy Policy

More at Powell's


Recently Viewed clear list


Original Essays | June 20, 2014

Lauren Owen: IMG The Other Vampire



It's a wild and thundery night. Inside a ramshackle old manor house, a beautiful young girl lies asleep in bed. At the window, a figure watches... Continue »
  1. $18.90 Sale Hardcover add to wish list

    The Quick

    Lauren Owen 9780812993271

spacer

This item may be
out of stock.

Click on the button below to search for this title in other formats.


Check for Availability
Add to Wishlist

Elementary Linear Algebra 8TH Edition Applications Versi

by

Elementary Linear Algebra 8TH Edition Applications Versi Cover

 

Synopses & Reviews

Publisher Comments:

This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.
  • The applications version features a wide variety of interesting, contemporary applications.
  • Clear, accessible, step-by-step explanations make the material crystal clear.
  • Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.

Synopsis:

This work combines linear algebra theory with applications, and addresses a new generation of students' changing needs. It contains an additional chapter on applications of linear algebra.

Synopsis:

Noted for its expository style and clarity of presentation, the revision of this best-selling Linear Algebra text combines Linear Algebra theory with applications, and addresses a new generation of students' changing needs.

About the Author

Howard Anton, Drexel University

Chris Rorres, Drexel University

Table of Contents

Chapter 1. Systems of Linear Equations and Matrices.

1.1 Introduction to Systems of Linear Equations.

1.2 Gaussian Elimination.

1.3 Matrices and Matrix Operations.

1.4 Inverses; Rules of Matrix Arithmetic.

1.5 Elementary Matrices and a Method for Finding A-1.

1.6 Further Results on Systems of Equations and Invertibility.

1.7 Diagonal, Triangular, and Symmetric Matrices.

Chapter 2. Determinants.

2.1 Determinants by Cofactor Expansion.

2.2 Evaluating Determinants by Row Reduction.

2.3 Properties of the Determinant Function.

2.4 A Combinatorial Approach to Determinants.

Chapter 3. Vectors in 2 Space and 3-Space.

3.1 Introduction to Vectors (Geometric).

3.2 Norm of a Vector; Vector Arithmetic.

3.3 Dot Product; Projections.

3.4 Cross Product.

3.5 Lines and Planes in 3-Space.

Chapter 4. Euclidean Vector Spaces.

4.1 Euclidean n-Space.

4.2 Linear Transformations from Rnto Rm.

4.3 Properties of Linear Transformations from Rnto Rm.

4.4 Linear Transformations and Polynomials.

Chapter 5. General Vector Spaces.

5.1 Real Vector Spaces.

5.2 Subspaces.

5.3 Linear Independence.

5.4 Basis and Dimension.

5.5 Row Space, Column Space, and Nullspace.

5.6 Rank and Nullity.

Chapter 6. Inner Product Spaces.

6.1 Inner Products.

6.2 Angle and Orthogonality in Inner Product Spaces.

6.3 Orthonormal Bases: Gram-Schmidt Prodcess; QR-Decomposition.

6.4 Best Approximation; Least Squares.

6.5 Change of Basis.

6.6 Orthogonal Matrices.

Chapter 7. Eigenvalues, Eigenvectors.

7.1 Eigenvalues and Eigenvectors.

7.2 Diagonalization.

7.3 Orthogonal Diagonalization.

Chapter 8. Linear Transformations.

8.1 General Linear Transformations.

8.2 Kernel and range.

8.3 Inverse Linear Transformations.

8.4 Matrices of General Linear Transformations.

8.5 Similarity.

8.6 Isomorphism.

Chapter 9. Additional topics.

9.1 Application to Differential Equations.

9.2 Geometry and Linear Operators on R2.

9.3 Least Squares Fitting to Data.

9.4 Approximation Problems; Fourier Series.

9.5 Quadratic Forms.

9.6 Diagonalizing Quadratic Forms; Conic Sections.

9.7 Quadric Surfaces.

9.8 Comparison of Procedures for Solving Linear Systems.

9.9 LU-Decompositions.

Chapter 10. Complex Vector Spaces.

10.1 Complex Numbers.

10.2 Division of Complex Numbers.

10.3 Polar Form of a Complex Number.

10.4 Complex Vector Spaces.

10.5 Complex Inner Product Spaces.

10.6 Unitary Normal, and Hermitian Matrices.

Chapter 11. Applications of Linear Algebra.

11.1 Constructing Curves and Surfaces through Specified Points.

11.2 Electrical Networks.

11.3 Geometric Linear Programming.

11.4 The Earliest Applications of Linear Algebra.

11.5 Cubic Spline Interpolation.

11.6 Markov Chains.

11.7 Graph Theory.

11.8 Games of Strategy.

11.9 Leontief Economic Models.

11.10 Forest Management.

11.11 Computer Graphics.

11.12 Equilibrium Temperature Distributions.

11.13 Computed Tomography.

11.14 Fractals.

11.15 Chaos.

11.16 Cryptography.

11.17 Genetics.

11.18 Age-Specific Population Growth.

11.19 Harvesting of Animal Populations.

11.20 A Least Squares Model for Human Hearing.

11.21 Warps and Morphs.

Answers to Exercises.

Index.

Product Details

ISBN:
9780471170525
Other:
Rorres, Chris
Author:
Rorres, Chris
Author:
Anton, Howard
Publisher:
Wiley
Location:
New York
Subject:
Algebra - Linear
Subject:
Algebras, linear
Subject:
Linear Algebra
Copyright:
Edition Number:
8
Publication Date:
20050114
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
856
Dimensions:
10.29x8.34x1.45 in. 3.85 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » Precalculus

Elementary Linear Algebra 8TH Edition Applications Versi
0 stars - 0 reviews
$ In Stock
Product details 856 pages John Wiley & Sons - English 9780471170525 Reviews:
"Synopsis" by , This work combines linear algebra theory with applications, and addresses a new generation of students' changing needs. It contains an additional chapter on applications of linear algebra.
"Synopsis" by , Noted for its expository style and clarity of presentation, the revision of this best-selling Linear Algebra text combines Linear Algebra theory with applications, and addresses a new generation of students' changing needs.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.