Über dieses Produkt

Product Identifiers

PublisherJones & Bartlett Learning, LLC

ISBN-101449679544

ISBN-139781449679545

eBay Product ID (ePID)123603038

Product Key Features

Number of Pages560 Pages

LanguageEnglish

Publication NameLinear Algebra with Applications

Publication Year2012

SubjectAlgebra / Linear, Pre-Calculus

FeaturesRevised

TypeTextbook

AuthorGareth Williams

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height1 in

Item Weight47.1 Oz

Item Length11.2 in

Item Width8.8 in

Additional Product Features

Edition Number8

LCCN2012-012118

Dewey Edition23

IllustratedYes

Dewey Decimal512/.5

Table Of ContentPart One: Linear Equations, Vectors, and Matrices Chapter 1: Linear Equations and Vectors Chapter 2: Matrices and Linear Transformations Chapter 3: Determinants and Eigenvectors Part Two: Vector Spaces Chapter 4: General Vector Spaces Chapter 5: Coordinate Representations Chapter 6: Inner Product Spaces Part Three: Numerical Linear Algebra Chapter 7: Numerical Methods Chapter 8: Linear Programming

Edition DescriptionRevised edition

SynopsisUpdated and revised to increase clarity and further improve student learning, the Eighth Edition of Gareth Williams' classic text is designed for the introductory course in linear algebra. It provides a flexible blend of theory and engaging applications for students within engineering, science, mathematics, business management, and physics. It is organized into three parts that contain core and optional sections. There is then ample time for the instructor to select the material that gives the course the desired flavor. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on the material presented in Part1 and goes on to introduce the concepts of general vector spaces, discussing properties of bases, developing the rank/nullity theorem, and introducing spaces of matrices and functions. Part 3 completes the course with important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Throughout the text the author takes care to fully and clearly develop the mathematical concepts and provide modern applications to reinforce those concepts. The applications range from theoretical applications within differential equations and least square analysis, to practical applications in fields such as archeology, demography, electrical engineering and more. New exercises can be found throughout that tie back to the modern examples in the text. Key Features of the Eighth Edition: Updated and revised throughout with new section material and exercises. Each section begins with a motivating introduction, which ties material to the previously learned topics. Carefully explained examples illustrate key concepts throughout the text. Includes such new topics such as QR Factorization and Singular Value Decomposition. Includes new applications such as a Leslie Matrix model that is used to predict birth and death patterns of animals. Includes discussions of the role of linear algebra in many areas, such as the operation of the search engine Google and the global structure of the worldwide air transportation network. A MATLAB manual that ties into the regular course material is included as an appendix. These ideas can be implemented on any matrix algebra software package. This manual consists of 28 sections that tie into the regular course material. Graphing Calculator Manual included as an appendix. A Student Solutions Manual that contains solutions to selected exercises is available as a supplement. An Instructors Complete Solutions Manual, test bank, and PowerPoint Lecture Outlines are also available. Available with WebAssign Online Homework & Assessment

LC Classification NumberQA184.2.W55 2014b