Humanities & Social Sciences
Math & Science
Professional & Career
- Business
- Business Statistics
- Communication Sciences & Disorders
- Computer Science
- Counseling
- Criminal Justice
- Culinary, Hospitality, Travel & Tourism
- Deaf Studies & Deaf Education
- Economics
- Education
- EMS & Fire Science (Brady)
- Engineering
- Fashion & Interior Design
- Health Professions
- Information Technology
- Legal Studies & Paralegal
- Nursing
- Student Success & Career Development
- Trades & Technology
Linear Algebra and Its Applications with CD-ROM, Update, 3/E
ISBN-10: 0321287134
ISBN-13: 9780321287137
Publisher: Pearson
Copyright: 2006
Format: Cloth Bound w/CD-ROM; 576 pp
Published: 08/22/2005
Description
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible.
Features
For Instructors:
o Homework and test managers
o Compatible with TestGen® tests
o Online grade book
For Students:
o Review sheets and Practice Tests to help students prepare for exams.
o Integrated Excerpts from the Study Guide
o The Lay Linear Algebra textbook in a multimedia format.
- Fundamental ideas of linear algebra are introduced within the first seven lectures, in the concrete setting of Rn, and then gradually examined from different points of view. Later generalizations of these concepts appear as natural extensions of familiar ideas.
- Focus on visualization of concepts throughout the book.
- Icons in the margins to flag topics for which expanded or enhanced material is available on the Web via MyMathLab.
- A modern view of matrix multiplication is presented. Definitions and proofs focus on the columns of a matrix rather than on the matrix entries.
- Numerical Notes give a realistic flavor to the text. Students are reminded frequently of issues that arise in the real-life use of linear algebra.
- Each major concept in the course is given a geometric interpretation because many students learn better when they can visualize an idea.
- [M] exercises appear in every section. To be solved with the aid of a [M]atrix program such as MATLAB™, Maple®, Mathematica®, MathCad®, Derive® or programmable calculators with matrix capabilities, such as the TI-83 Plus®, TI-86®, TI-89®, and HP-48G®. Data for these exercises are provided on the Web.
New To This Edition
- New Chapters! (Chapter 8: The Geometry of Vector Spaces and Chapter 9: Optimization) available on the web via MyMathLab.
- Easily identifiable CD icons in the margins reference exploratory MATLAB projects that are available on the CD-ROM bound in new copies of the book.
- Study Guide Icons point out concepts that are expanded on in the Study Guide (available in print and on the CD-ROM bound in all new copies of the book) helping students master concepts.
- CD-Rom bound in the back of the book includes: the entire Study Guide, Getting Started Introductions on Technology use, and additional MATLAB projects.
Table of Contents
Chapter 1 Linear Equations in Linear Algebra
INTRODUCTORY EXAMPLE: Linear Models in Economics and Engineering
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
1.3 Vector Equations
1.4 The Matrix Equation Ax = b
1.5 Solution Sets of Linear Systems
1.6 Applications of Linear Systems
1.7 Linear Independence
1.8 Introduction to Linear Transformations
1.9 The Matrix of a Linear Transformation
1.10 Linear Models in Business, Science, and Engineering
Supplementary Exercises
Chapter 2 Matrix Algebra
INTRODUCTORY EXAMPLE: Computer Models in Aircraft Design
2.1 Matrix Operations
2.2 The Inverse of a Matrix
2.3 Characterizations of Invertible Matrices
2.4 Partitioned Matrices
2.5 Matrix Factorizations
2.6 The Leontief Input=Output Model
2.7 Applications to Computer Graphics
2.8 Subspaces of R^n
2.9 Dimension and Rank
Supplementary Exercises
Chapter 3 Determinants
INTRODUCTORY EXAMPLE: Determinants in Analytic Geometry
3.1 Introduction to Determinants
3.2 Properties of Determinants
3.3 Cramer’s Rule, Volume, and Linear Transformations
Supplementary Exercises
Chapter 4 Vector Spaces
INTRODUCTORY EXAMPLE: Space Flight and Control Systems
4.1 Vector Spaces and Subspaces
4.2 Null Spaces, Column Spaces, and Linear Transformations
4.3 Linearly Independent Sets; Bases
4.4 Coordinate Systems
4.5 The Dimension of a Vector Space
4.6 Rank
4.7 Change of Basis
4.8 Applications to Difference Equations
4.9 Applications to Markov Chains
Supplementary Exercises
Chapter 5 Eigenvalues and Eigenvectors
INTRODUCTORY EXAMPLE: Dynamical Systems and Spotted Owls
5.1 Eigenvectors and Eigenvalues
5.2 The Characteristic Equation
5.3 Diagonalization
5.4 Eigenvectors and Linear Transformations
5.5 Complex Eigenvalues
5.6 Discrete Dynamical Systems
5.7 Applications to Differential Equations
5.8 Iterative Estimates for Eigenvalues
Supplementary Exercises
Chapter 6 Orthogonality and Least Squares
INTRODUCTORY EXAMPLE: Readjusting the North American Datum
6.1 Inner Product, Length, and Orthogonality
6.2 Orthogonal Sets
6.3 Orthogonal Projections
6.4 The Gram-Schmidt Process
6.5 Least-Squares Problems
6.6 Applications to Linear Models
6.7 Inner Product Spaces
6.8 Applications of Inner Product Spaces
Supplementary Exercises
Chapter 7 Symmetric Matrices and Quadratic Forms
INTRODUCTORY EXAMPLE: Multichannel Image Processing
7.1 Diagonalization of Symmetric Matrices
7.2 Quadratic Forms
7.3 Constrained Optimization
7.4 The Singular Value Decomposition
7.5 Applications to Image Processing and Statistics
Supplementary Exercises
ONLINE ONLY Chapter 8 The Geometry of Vector Spaces
INTRODUCTORY EXAMPLE: The Platonic Solids
8.1 Affine Combinations
8.2 Affine Independence
8.3 Convex Combinations
8.4 Hyperplanes
8.5 Polytopes
8.6 Curves and Surfaces
Supplementary Exercises
ONLINE ONLY Chapter 9 Optimization
INTRODUCTORY EXAMPLE: The Berlin Airlift
9.1 Matrix Games
9.2 Linear Programming — Geometric Method
9.3 Linear Programming — Simplex Method
9.4 Duality
Supplementary Exercises
Appendices
A Uniqueness of the Reduced Echelon Form
B Complex Numbers
Glossary
Answers to Odd-Numbered Exercises
Index
Next Edition(s)
Lay
©2012 | Pearson | Cloth; 576 pp | Instock
ISBN-10: 0321385179 | ISBN-13: 9780321385178
Brief Description | More Info
Lay
©2012 | Pearson | Cloth; 576 pp | Instock
ISBN-10: 0321385179 | ISBN-13: 9780321385178
Brief Description | More Info
Lay
©2012 | Pearson | Cloth; 576 pp | Instock
ISBN-10: 0321385179 | ISBN-13: 9780321385178
Brief Description | More Info
Author Bios
David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D. from the University of California at Los Angeles. Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has also served as a visiting professor at the University of Amsterdam, the Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has over 30 research articles published in functional analysis and linear algebra.
As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group, Lay has been a leader in the current movement to modernize the linear algebra curriculum. Lay is also co-author of several mathematics texts, including Introduction to Functional Analysis, with Angus E. Taylor, Calculus and Its Applications, with L.J. Goldstein and D.I. Schneider, and Linear Algebra Gems-Assets for Undergraduate Mathematics, with D. Carlson, C.R. Johnson, and A.D. Porter.
A top-notch educator, Professor Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar-Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America's Awards for Distinguished College or Unviersity Teaching of Mathematics. He has been elected by the university students to membership in Alpha Lambda Delta National Scholastic Honor Society and Golden Key National Honor Society. In 1989, Aurora University conferred on him the Outstanding Alumnus award. Lay is a member of the American Mathematical Society, the Canadian Mathematical Society, the International Linear Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society for Industrial and Applied Mathematics. Since 1992, he has served several terms on the national board of the Association of Christians in the Mathematical Sciences.
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321369610 |
ISBN-13: 9780321369611
More Info
Lay
©2006
|
On-line Supplement; 576 pp
|
Access Code Required
|
Live
ISBN-10: 032128061X |
ISBN-13: 9780321280619
|
Students, buy access
Take a Tour
|
More Info
Lay
©2006
|
Pearson
|
Website; 576 pp
|
Live
ISBN-10: 0321691784 |
ISBN-13: 9780321691781
More Info
Lay & Polaski
©2006
|
Pearson
|
On-line Supplement; 424 pp
|
Out of Stock
ISBN-10: 0321280652 |
ISBN-13: 9780321280657
|
| | | More Info |
Lay & Cochran
©2006
|
Pearson
|
Paper; 150 pp
|
Instock
ISBN-10: 0321280687 |
ISBN-13: 9780321280688
|
| | | More Info |
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321409795 |
ISBN-13: 9780321409799
|
| | | More Info |
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321409809 |
ISBN-13: 9780321409805
|
| | | More Info |
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321395948 |
ISBN-13: 9780321395948
|
| | | More Info |
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321280601 |
ISBN-13: 9780321280602
|
| | | More Info |
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321369610 |
ISBN-13: 9780321369611
More Info
Lay
©2006
|
On-line Supplement; 576 pp
|
Access Code Required
|
Live
ISBN-10: 032128061X |
ISBN-13: 9780321280619
|
Students, buy access
Take a Tour
|
More Info
Lay
©2006
|
Pearson
|
Website; 576 pp
|
Live
ISBN-10: 0321691784 |
ISBN-13: 9780321691781
More Info
Websites and online courses
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321369610 |
ISBN-13: 9780321369611
More Info
Lay
©2006
|
On-line Supplement; 576 pp
|
Access Code Required
|
Live
ISBN-10: 032128061X |
ISBN-13: 9780321280619
|
Students, buy access
More Info
Lay
©2006
|
Pearson
|
Website; 576 pp
|
Live
ISBN-10: 0321691784 |
ISBN-13: 9780321691781
More Info
For Introductory Linear Algebra
ATLAST Manual, 2/E
Leon
©2003
|
Pearson
|
Paper; 270 pp
|
Instock
ISBN-10: 0131011219 |
ISBN-13: 9780131011212
More Info
Linear Algebra Labs with MATLAB, 3/E
Hill & Zitarelli
©2004
|
Pearson
|
Paper; 336 pp
|
Instock
ISBN-10: 0131432745 |
ISBN-13: 9780131432741
More Info
Maple Supplement for Linear Algebra, A
Maloney
©2005
|
Pearson
|
Paper; 192 pp
|
Instock
ISBN-10: 0131453378 |
ISBN-13: 9780131453371
More Info
Understanding Linear Algebra Using MATLAB
Kleinfeld & Kleinfeld
©2001
|
Pearson
|
Paper; 210 pp
|
Instock
ISBN-10: 0130609455 |
ISBN-13: 9780130609458
More Info
Visualizing Linear Algebra Using Maple
Keith
©2001
|
Pearson
|
Paper; 250 pp
|
Instock
ISBN-10: 0130418161 |
ISBN-13: 9780130418166
More Info
Allied Health Study Card, 2/E
Forshier
©2006
|
Pearson
|
Study Card
|
Instock
ISBN-10: 0321394747 |
ISBN-13: 9780321394743
More Info
Basic Math Review Card, 2/E
Addison Wesley Higher Education
©2006
|
Pearson
|
Study Card; 6 pp
|
Instock
ISBN-10: 0321394763 |
ISBN-13: 9780321394767
More Info
Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000
|
Pearson
|
Unknown / Other
|
Instock
ISBN-10: 0201716275 |
ISBN-13: 9780201716276
More Info
Concept Videos: Algebra
Addison Wesley Higher Education
©2008
|
Pearson
|
Multiple Media Package
|
Instock
ISBN-10: 0321517199 |
ISBN-13: 9780321517197
More Info
Concept Videos: Basic Math & Prealgebra
Addison Wesley Higher Education
©2008
|
Pearson
|
Multiple Media Package
|
Instock
ISBN-10: 032151758X |
ISBN-13: 9780321517586
More Info
Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997
|
Pearson
|
Paper; 195 pp
|
Instock
ISBN-10: 0136492037 |
ISBN-13: 9780136492030
More Info
Graphing Calculator Tutorial CD
Addison Wesley Higher Education
©2006
|
Pearson
|
CD-ROM Only
|
Instock
ISBN-10: 0321357744 |
ISBN-13: 9780321357748
More Info
Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000
|
Pearson
|
Paper
|
Instock
ISBN-10: 0321069188 |
ISBN-13: 9780321069184
More Info
Prealgebra Review Workbook
Wheel
©2006
|
Pearson
|
Paper; 300 pp
|
Instock
ISBN-10: 0321473329 |
ISBN-13: 9780321473325
More Info
Review of Algebra, A
Howard
©2002
|
Pearson
|
Paper; 224 pp
|
Instock
ISBN-10: 0201773473 |
ISBN-13: 9780201773477
More Info
Spanish Basic Math Study Card
Leonarte
©2007
|
Pearson
|
Study Card
|
Instock
ISBN-10: 0321438582 |
ISBN-13: 9780321438584
More Info
TestGen All-in-One 2005 Package
Addison Wesley Higher Education
©2005
|
Pearson
|
CD-ROM Only
|
Instock
ISBN-10: 0321334469 |
ISBN-13: 9780321334466
More Info
Websites and Online Courses
Lay
©2006
|
Pearson
|
On-line Supplement
|
Live
ISBN-10: 0321369610 |
ISBN-13: 9780321369611
More Info
Lay
©2006
|
On-line Supplement; 576 pp
|
Access Code Required
|
Live
ISBN-10: 032128061X |
ISBN-13: 9780321280619
|
Students, buy access
Take a Tour
|
More Info
Lay
©2006
|
Pearson
|
Website; 576 pp
|
Live
ISBN-10: 0321691784 |
ISBN-13: 9780321691781
More Info
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.
