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Mathematics

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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
Published: 01/03/2001

This item has been replaced by Introductory Linear Algebra: An Applied First Course, 8/E.

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.

Introductory Linear Algebra [EASY TEXTS] (Mathematics)

Instructor's Manual, 8/E
Kletzing
©2005 | Prentice Hall | Paper; 214 pp | Instock
ISBN-10: 0131437410 | ISBN-13: 9780131437418
Introductory Linear Algebra: An Applied First Course, 8/E
Kolman & Hill
©2005 | Prentice Hall | Cloth; 768 pp | Instock
ISBN-10: 0131437402 | ISBN-13: 9780131437401
Brief Description | Buy from myPearsonStore

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.

Companion Website - Kolman, 7/E
Kolman
©2001 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0130329150 | ISBN-13: 9780130329158

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL: http://www.aw-bc.com/tutorcenter
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For Introductory Linear Algebra

Understanding Linear Algebra Using MATLAB
Kleinfeld & Kleinfeld
©2001 | Prentice Hall | Paper; 210 pp | Instock
ISBN-10: 0130609455 | ISBN-13: 9780130609458

Visualizing Linear Algebra Using Maple
Keith
©2001 | Prentice Hall | Paper; 250 pp | Out of Stock
ISBN-10: 0130418161 | ISBN-13: 9780130418166

Companion Website - Kolman, 7/E
Kolman
©2001 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0130329150 | ISBN-13: 9780130329158

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