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Addison-Wesley / Prentice Hall

Mathematics

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Linear Algebra with Applications, 3/E
Otto Bretscher

ISBN-10: 0131453343
ISBN-13:  9780131453340

Publisher:  Prentice Hall
Copyright:  2005
Format:  Cloth; 496 pp
Published:  06/28/2004
New edition available
  This item has been replaced by Linear Algebra with Applications, 4/E.



For courses in Introductory Linear Algebra.

This text offers the most geometric presentation now available, emphasizes linear transformations as a unifying theme, and is recognized for its extensive and thought-provoking problem sets. While preserving the same table of contents as the previous edition, this revision is the outcome of a careful reflection (and appropriate change) on the wording of each idea.

  • No text in this market has more, or a wider range of, problem sets. Over 400 new exercises have been added to the problem sets, ranging in difficulty from the elementary to the challenging.
    • See pp. 89-97 for one section of problems.    

    • Each chapter ends with 50-60 True-False questions that test conceptual understanding and ehlp force students TO READ. (see pp. 97 and 183)

  • NEW - Historical problems have been added, taken from ancient Chinese, Indian, Arabic, and early European sources. (see pp. 25-26)
  • NEW - The text with the strongest geometric presentation has been strengthened.
    • There is an even greater emphasis on the geometric representation of linear transformations, starting in Chapter 2.

    • Rotations, reflections, projections, and shears are used throughout to illustrate new ideas.

  • NEW - Multiple perspectives on the kernel of a matrix are presented, with a stronger emphasis on the relations among the columns.
  • NEW - Commutative diagrams are used more extensively to enhance the students' conceptual understanding of the matrix of a linear transformation. These diagrams enable students to visualize the relations between linear transformations.
  • NEW - A more conceptual approach to the QR factorization is presented, in terms of a change-of-basis.
  • NEW - The determinant is introduced in terms of Laplace expansion rather than permutations, with Gaussian elimination and permutations still presented as alternative methods.
  • NEW - These innovations have been class-tested for several semesters, and they have proven to enhance the students' learning and understanding.

 

  • Strong emphasis on Linear Transformations.
    • Serves as a unifying theme for the text.

    • Makes discussion of matrix manipulations more meaningful and easier for students to visualize.



1. Systems of Linear Equations.


2. Linear Transformations.


3. Subspaces of Rn and Their Dimension.


4. Linear Spaces.


5. Orthogonality and Least Squares.


6. Determinants.


7. Eigenvalues and Eigenvectors.


8. Symmetric Matrices and Quadratic Forms.


9. Linear Differential Equations.

  • 9780136009269
    Linear Algebra with Applications, 4/E
    Bretscher
    ©2009 | Prentice Hall | Cloth; 504 pp | Instock
    ISBN-10: 0136009263 | ISBN-13: 9780136009269
    Brief Description | Buy from myPearsonStore

Companion WebSite - Bretscher, 3/E
BRETSCHER
©2005 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131453394 | ISBN-13: 9780131453395
URLhttp://www.prenhall.com/bretscher


Companion WebSite - Bretscher, 3/E
BRETSCHER
©2005 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131453394 | ISBN-13: 9780131453395
URLhttp://www.prenhall.com/bretscher


Companion WebSite - Bretscher, 3/E
BRETSCHER
©2005 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131453394 | ISBN-13: 9780131453395
URLhttp://www.prenhall.com/bretscher


Maple Supplement for Linear Algebra, A
Maloney
©2005 | Prentice Hall | Paper; 192 pp | Instock
ISBN-10: 0131453378 | ISBN-13: 9780131453371
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Addison-Wesley's Algebra Review
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ISBN-10: 0321247078 | ISBN-13: 9780321247070


Algebra Review Study Card, 2/E
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©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
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ISBN-10: 0321394763 | ISBN-13: 9780321394767
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ISBN-10: 0321517199 | ISBN-13: 9780321517197


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ISBN-10: 0136492037 | ISBN-13: 9780136492030
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ISBN-10: 0321374398 | ISBN-13: 9780321374394
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©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
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©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
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©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


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©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041


Prealgebra Review Workbook
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ISBN-10: 0321473329 | ISBN-13: 9780321473325
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©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
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ISBN-10: 0321561880 | ISBN-13: 9780321561886


Spanish Basic Math Study Card
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©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
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ISBN-10: 0201721708 | ISBN-13: 9780201721706
URLhttp://www.aw-bc.com/tutorcenter
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©2001 | Prentice Hall | Paper; 210 pp | Instock
ISBN-10: 0130609455 | ISBN-13: 9780130609458


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©2001 | Prentice Hall | Paper; 250 pp | Out of Stock
ISBN-10: 0130418161 | ISBN-13: 9780130418166


Companion WebSite - Bretscher, 3/E
BRETSCHER
©2005 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131453394 | ISBN-13: 9780131453395
URLhttp://www.prenhall.com/bretscher


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