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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. Finally, when discussed in the abstract, these concepts are more accessible. Students conceptual understanding is reinforced through True/False questions, practice problems, and the use of technology. David Lay changed the study of linear algebra with the execution of this philosophy, and continues his quest to improve the way linear algebra is taught with the new Updated Second Edition. With this update he takes the instruction of linear algebra to a new level through increased visualization in the text, vastly enhanced technology support, and an extensive instructor support package. A new dedicated web site and CD further enhance the course materials by providing additional support to help students gain command of difficult concepts. The CD, included in the back of the book, contains a wealth of new materials, with a registration coupon allowing access to a password-protected web site. These new materials are tied directly to the text, providing a comprehensive package for teaching and learning linear algebra. *Fundamental ideas of linear algebra introduced within the first seven lectures, in the concrete setting of R^n, and then gradually examined from different points of view. Later generalizations of these concepts appear as natural extensions of familiar ideas. *A modern view of matrix multiplication. Definitions and proofs focus on the columns of a matrix rather than on the matrix entries. *Numerical Notes. These give a realistic flavor to the text. Students are reminded frequently of issues that arise in the real-life use of linear algebra. *M exercises appear in every section. To be solved with the aid of a Matrix program such as MATLAB, Maple, Mathematica, MathCad, Derive or programmable calculators with matrix capabilities, such as the TI-85, TI-86, and HP-48G. Data for these exercises are provided on the web site: http://www.laylinalgebra.com. *Section 2.9 is optional, which permits instructors to cover eigenvalues very early, by omitting or postponing Chapters 3 and 4.

Product Identifiers

PublisherPearson Education (Us)

ISBN-139780201347746

eBay Product ID (ePID)95153669

Product Key Features

Number of Pages555 Pages

Publication NameLinear Algebra and Its Applications, Updated

LanguageEnglish

SubjectMathematics

Publication Year1999

TypeTextbook

AuthorDavid C. Lay

FormatMixed Media

Dimensions

Item Height240 mm

Item Weight1181 g

Item Width208 mm

Additional Product Features

Country/Region of ManufactureUnited States

Title_AuthorDavid C. Lay

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Linear Algebra and Its Applications, Updated by David C. Lay (Mixed Media, 1999)