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Introductory Linear Algebra with Applications, 7/E
Bernard Kolman, Drexel University
David R. Hill, Temple University

ISBN-10: 0130182656
ISBN-13: 9780130182654

Publisher: Prentice Hall
Copyright: 2001
Format: Cloth; 577 pp


Suggested retail price: $111.33
This item is out of print and is no longer available for purchase.

For undergraduate-level courses in Linear Algebra.

This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of our basic books in this market, this text has a superb range of problem sets. Also, this is the most technology-friendly text on the market.

  • NEW - Lengthy applications have been added to most chapters.

    • These applications were formerly in an end chapter. Now they are integrated into the core chapter to make the book more applied. Ex.___

  • NEW - More applications added—Wavelets, dynamical systems, and the Leslie Population model.
  • NEW - Stronger emphasis on linear transformations and Geometry.
  • Stronger, clearer presentation of Eigenvalues and Eigenvectors.

    • This material will be divided and covered step-by-step. Ex.___

  • Robust Website available—Includes additional text material, data sets for problems, additional applications, computer interactive exercises, and links to interesting history and faculty sites.

  • Lengthy applications have been added to most chapters.

    • These applications were formerly in an end chapter. Now they are integrated into the core chapter to make the book more applied. Ex.___

  • More applications added—Wavelets, dynamical systems, and the Leslie Population model.
  • Stronger emphasis on linear transformations and Geometry.

I. INTRODUCTORY LINEAR ALGEBRA.

1. Linear Equations and Matrices.

Linear Systems. Matrices. Dot Product and Matrix Multiplication. Properties of Matrix Operations. Graph Theory (Optional). Solutions of Linear Systems of Equations. Electrical Circuits (Optional). Markov Chains (Optional). The Inverse of a Matrix. Linear Economic Models (Optional). Wavelets (Optional). LU-Factorization (Optional).

2. Determinants.

Definition and Properties. Cofactor Expansion and Applications. Determinants from a Computational Point of View.

3. Vectors in R2 and R3.

Vectors in the Plane. n-Vectors. Introduction to Linear Transformations. Computer Graphics. Computer Graphics (Optional). Cross Products in R3 (Optional). Lines and Planes.

4. Real Vector Spaces.

Real Vector Spaces. Subspaces. Linear Independence. Basis and Dimension. Homogeneous Systems. The Rank of a Matrix and Applications. Coordinates and Change of Basis. Orthonormal Bases in Rn. QR-Factorization (Optional). Orthogonal Complements. Least Squares (Optional).

5. Eigenvalues and Eigenvectors.

Eigenvalues and Eigenvectors. Diagonalization and Similar Matrices. Diagonalization and Symmetric Matrices.

6. Linear Transformations and Matrices.

Definition and Examples. The Kernel and Range of a Linear Transformation. The Matrix of a Linear Transformation.

Cumulative Review of Part I.

II. OTHER APPLICATIONS.

7. Linear Programming.

The Linear Programming Problem; Geometric Solution. The Simplex Method. Duality. The Theory of Games.

8. Applications of Eigenvalues and Eigenvectors.

The Fibonacci Sequence. Differential Equations (Calculus Required). Dynamical Systems (Calculus Required). Intro to Fractals. Quadratic Forms. Conic Sections. Quadric Surfaces.

Appendix A: Introduction to MATLAB.

Appendix B: Complex Numbers.

Complex Numbers. Complex Numbers in Linear Algebra.

Appendix C: Further Directions.

Inner Product Spaces (Calculus Required). Composite and Invertible Linear Transformations.

Answers to Odd-Numbered Exercises and Chapter Tests.

Index.

  • 0131437410Instructor's Manual, 8/E
    Kletzing
    © 2005 | Prentice Hall | Paper; 214 pages | Instock
    ISBN-10: 0131437410 | ISBN-13: 9780131437418

    • For freshman/sophomore-level courses in Linear Algebra.

    This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of our basic books in this market, this text has a superb range of problem sets. Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled “Calculus Required.”) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors) and introduce applications of linear algebra in a one-semester course.

  • 0131437402Introductory Linear Algebra: An Applied First Course, 8/E
    Kolman & Hill
    © 2005 | Prentice Hall | Cloth; 768 pages | Instock
    ISBN-10: 0131437402 | ISBN-13: 9780131437401
    Brief Description | Buy from myPearsonStore

For Introductory Linear Algebra


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