Linear Algebra and Its Applications / Edition 3

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Overview

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. David 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.

Note: This is the standalone book, if you want the book/access card order the ISBN below.

0321399145 / 9780321399144 Linear Algebra plus MyMathLab Getting Started Kit for Linear Algebra and Its Applications

Package consists of:

0321385179 / 9780321385178 Linear Algebra and Its Applications

0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

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Editorial Reviews

Booknews
Provides a modern, elementary introduction to linear algebra and some of its interesting applications, suitable for students with two semesters of college-level mathematics experience, usually calculus. Includes the full spectrum of pedagogical features including examples, theorems and proofs, practice problems, exercises, true/false questions, and writing exercises. Updated with a more visual approach to concepts, expanded case studies, and improved technological support for students and instructors in the form of CD-ROM and a new website. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780321287137
  • Publisher: Addison Wesley
  • Publication date: 7/6/2005
  • Series: Alternative eText Formats Series
  • Edition description: REV
  • Edition number: 3
  • Pages: 576
  • Product dimensions: 8.25 (w) x 9.37 (h) x 0.95 (d)

Meet the Author

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.

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 University 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.

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Table of Contents

Preface
A Note to Students
1 Linear Equations in Linear Algebra 1
2 Matrix Algebra 97
3 Determinants 179
4 Vector Spaces 209
5 Eigenvalues and Eigenvectors 295
6 Orthogonality and Least-Squares 367
7 Symmetric Matrices and Quadratic Forms 441
App. A Uniqueness of the Reduced Echelon Form A1
App. B Complex Numbers A3
Glossary A9
Answers to Odd-Numbered Exercises A21
Index I1
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