|

Addison-Wesley / Prentice Hall

Mathematics

My Instructor Resource Center :  Log in or request access

Elementary Linear Algebra, 8/E
Bernard KolmanDrexel University
David R. HillTemple University

ISBN-10: 0130457876
ISBN-13:  9780130457875

Publisher:  Prentice Hall
Copyright:  2004
Format:  Cloth; 656 pp
Published:  06/19/2003
New edition available
  This item has been replaced by Elementary Linear Algebra with Applications, 9/E.



For introductory sophomore-level courses in Linear Algebra or Matrix Theory.

This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.

  • NEW - Improved pedagogy—Divides Chapter 1, Linear Equations and Matrices, into two chapters, laying the foundation for using the idea of matrix function or maps.
    • Provides students with an easier format to understand important concepts. Gives instructors the opportunity to present subject matter more comprehensively.

  • NEW - Matrix multiplication in a separate section.
    • Gives students more careful coverage of this topic.

  • NEW - Matrix Transformations —Included in this edition.
    • Introduces geometric applications at a very early stage.

  • NEW - Computer Graphics —Gives an application of matrix transformations.
    • Gives students this application earlier in this edition, illustrating the concept more fully.

  • NEW - Improved organization—Material moved around a bit in Chapters 1 and 4.
    • Provides students with improved exposition and flow of material.

  • NEW - Correlation Coefficient —Gives an application of dot product to statistics in a new section.
  • NEW - More computer-graphics—Includes Section 5.6, Introduction to Homogeneous Coordinates.
    • Extends and generalizes for students the concepts of computer graphics.

  • NEW - More on search engines—Includes Section 7.9, Dominant Eigenvalue and Principal Component Analysis, and includes several applications of this material.
    • Discusses for students the popular search engine Google®, and how it uses the dominant eigenvalue of an enormously large matrix to search the web.

  • NEW - Eigenvalue development includes the complex case.
    • Provides a more unified approach.

  • NEW - More geometry throughout (figures increased by a third).
    • Offers students a stronger emphasis on the geometrical presentation of basic ideas, and supports this emphasis with an increased use of illustrative ideas.

  • NEW - Appendix on an introduction to proofs.
    • Eases students into the abstract aspects of linear algebra.

  • NEW - Added exercises at all levels—Includes 1603 exercises; exercises are available at the end of each chapter.
    • Allows students to more fully explore and study the topics at hand.

  • NEW - Upgraded MATLAB M-files.
    • Gives students the more modern versions of these files.

  • NEW - Key terms listed at the end of each section.
  • NEW - Chapter review at the end of each chapter—Includes review True/False questions and Chapter Quiz.
  • Crisp, conversational tone.
    • Enables students to easily follow the style of the text.

  • Strong pedagogical framework.
    • Provides students with a strong understanding by gradually introducing topics that connect abstract ideas to concrete foundations.

  • Answers to odd-numbered exercises—Available in a section at the back of the text.
    • Enables instructors to use text exercises as graded homework assignments.

  • General level of applications—Presents applications that are suited to a more general audience, rather than for a strongly science-oriented one.
    • Enables instructors to use this text for a greater variety of class levels.

  • Easy use and readability—Features brief text, smaller trim size, and blue second-color ink.
    • Provides students with an easily-read and easily-utilized book.

  • Comprehensive supplements—Includes a Student Solutions Manual, an Instructor's Solutions Manual, and a Companion Website.
    • Gives both students and instructors valuable course support.

  • Improved pedagogy—Divides Chapter 1, Linear Equations and Matrices, into two chapters, laying the foundation for using the idea of matrix function or maps.
    • Provides students with an easier format to understand important concepts. Gives instructors the opportunity to present subject matter more comprehensively.

  • Matrix multiplication in a separate section.
    • Gives students more careful coverage of this topic.

  • Matrix Transformations —Included in this edition.
    • Introduces geometric applications at a very early stage.

  • Computer Graphics —Gives an application of matrix transformations.
    • Gives students this application earlier in this edition, illustrating the concept more fully.

  • Improved organization—Material moved around a bit in Chapters 1 and 4.
    • Provides students with improved exposition and flow of material.

  • Correlation Coefficient —Gives an application of dot product to statistics in a new section.
  • More computer-graphics—Includes Section 5.6, Introduction to Homogeneous Coordinates.
    • Extends and generalizes for students the concepts of computer graphics.

  • More on search engines—Includes Section 7.9, Dominant Eigenvalue and Principal Component Analysis, and includes several applications of this material.
    • Discusses for students the popular search engine Google®, and how it uses the dominant eigenvalue of an enormously large matrix to search the web.

  • Eigenvalue development includes the complex case.
    • Provides a more unified approach.

  • More geometry throughout (figures increased by a third).
    • Offers students a stronger emphasis on the geometrical presentation of basic ideas, and supports this emphasis with an increased use of illustrative ideas.

  • Appendix on an introduction to proofs.
    • Eases students into the abstract aspects of linear algebra.

  • Added exercises at all levels—Includes 1603 exercises; exercises are available at the end of each chapter.
    • Allows students to more fully explore and study the topics at hand.

  • Upgraded MATLAB M-files.
    • Gives students the more modern versions of these files.

  • Key terms listed at the end of each section.
  • Chapter review at the end of each chapter—Includes review True/False questions and Chapter Quiz.

(NOTE: All relevant chapters end with Supplementary Exercises.)

1. Linear Equations and Matrices.

Systems of Linear Equations. Matrices. Matrix Multiplication. Algebraic Properties of Matrix Operations. Special Types of Matrices and Partitioned Matrices. Matrix Transformations. Computer Graphics. Correlation Coefficient (Optional).



2. Solving Linear Systems.

Echelon Form of a Matrix. Elementary Matrices: Finding A-1. Equivalent Matrices. LU-Factorization (Optional).



3. Real Vector Spaces.

Vectors in the Plane and in 3-space. Vector Spaces. Subspaces. Span and Linear Independence. Basis and Dimension. Homogeneous Systems. Coordinates and Isomorphisms. Rank of a Matrix.



4. Inner Product Spaces.

Standard Inner Product on R2 and R3. Cross Product in R3 (Optional). Inner Product Spaces. Gram-Schmidt Process. Orthogonal Complements. Least Squares (Optional).



5. Linear Transformations and Matrices.

Definition and Examples. Kernel and Range of a Linear Transformation. Matrix of a Linear Transformation. Vector Space of Matrices and Vector Space of Linear Transformations (Optional). Similarity. Inroduction to Homogeneous Coordinates (Optional).



6. Determinants.

Definition. Properties of Determinants. Cofactor Expansion. Inverse of a Matrix. Other Applications of Determinants. Determinants from a Computational Point of View.



7. Eigenvalues and Eigenvectors.

Eigenvalues and Eigenvectors. Diagonalization and Similar Matrices. Stable Age Distribution in a Population; Markov Processes (Optional). Diagonalization of Symmetric Matrices. Spectral Decomposition and Singular Value Decomposition (Optional). Real Quadratic Forms. Conic Sections. Quadric Surfaces. Dominant Eigenvalue and Principal Component Analysis (Optional).



8. Differential Equations (Optional).

Differential Equations. Dynamical Systems.



9. MATLAB for Linear Algebra.

Input and Output in MATLAB. Matrix Operations in MATLAB. Matrix Powers and Some Special Matrices. Elementary Row Operations in MATLAB. Matrix Inverses in MATLAB. Vectors in MATLAB. Applications of Linear Combinations in MATLAB. Linear Transformations in MATLAB. MATLAB Command Summary.



10. MATLAB Exercises.


Appendix A: Preliminaries.

Sets. Functions.



Appendix B: Complex Numbers.

Complex Numbers. Complex Numbers in Linear Algebra.



Appendix C: Introduction to Proofs.


Answers to Odd-Numbered Exercises.


Index.

  • 9780132296540
    Elementary Linear Algebra with Applications, 9/E
    Kolman & Hill
    ©2008 | Prentice Hall | Cloth; 720 pp | Instock
    ISBN-10: 0132296543 | ISBN-13: 9780132296540
    Brief Description | Buy from myPearsonStore

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
Buy from myPearsonStore


Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Buy from myPearsonStore


Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Buy from myPearsonStore


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
Buy from myPearsonStore


Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
Buy from myPearsonStore


Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
Buy from myPearsonStore


Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Buy from myPearsonStore


Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Buy from myPearsonStore


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
Buy from myPearsonStore


Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Buy from myPearsonStore


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
Buy from myPearsonStore


Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Buy from myPearsonStore


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
Buy from myPearsonStore


Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URLhttp://www.aw-bc.com/tutorcenter
Buy from myPearsonStore


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


Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.