rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Linear methods
    sub title: a general education course
  name:
    name part: Hecker, David
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Andrilli, Stephen
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Textbooks
  origin info:
    place:
      place term: flu
    place:
      place term: Boca Raton, FL
    publisher: CRC Press
    date issued: 2018
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: Linear Methods: A General Education Course is expressly written for non-mathematical students, particularly freshmen taking a required core mathematics course. Rather than covering a hodgepodge of different topics as is typical for a core mathematics course, this text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth. The material is presented in an accessible manner, as opposed to a traditional overly rigorous approach. While introducing students to useful topics in linear algebra, the book also includes a gentle introduction to more abstract facets of the subject.
  table of contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface for the Instructor; Preface for the Student; 1 Matrices; 1.1 Introduction to Matrices; 1.2 Matrix Addition and Scalar Multiplication; 1.3 Fundamental Properties of Addition and Scalar Multiplication; 1.4 Transpose of a Matrix; 1.5 Special Matrices; 1.6 Matrix Multiplication; 1.7 Algebraic Rules for Matrix Multiplication; 1.8 Matrix Multiplication and Linear Combinations; 1.9 Chapter 1 Test; 2 Application: Elementary Graph Theory; 2.1 Graphs and Digraphs: Definitions; 2.2 The Adjacency Matrix.
  table of contents: 2.3 Counting Paths and Connectivity2.4 Chapter 2 Test; 3 Vectors; 3.1 Vector Fundamentals; 3.2 Vector Operations and Geometry; 3.3 The Dot Product of Vectors; 3.4 The Angle Between Vectors; 3.5 Projection Vectors; 3.6 Linear Combinations with Mutually Orthogonal Vectors; 3.7 Chapter 3 Test; 4 Solving Systems of Linear Equations; 4.1 Systems of Linear Equations; 4.2 Row Operations on Augmented Matrices; 4.3 Introduction to Gauss-Jordan Row Reduction; 4.4 The Remaining Cases of the Gauss-Jordan Method; 4.5 Reduced Row Echelon Form and Rank of a Matrix.
  table of contents: 4.6 Homogeneous Systems and Mutually Orthogonal Sets4.7 Chapter 4 Test; 5 Application: Least-Squares; 5.1 Approximation by a Linear Function; 5.2 Higher Degree Polynomials; 5.3 How Does Least-Squares Work?; 5.4 Chapter 5 Test; 6 Inverses for Matrices; 6.1 Multiplicative Inverses; 6.2 Properties of Inverse Matrices; 6.3 Orthogonal Matrices and Mutually Orthogonal Sets; 6.4 Chapter 6 Test; 7 Geometric Transformations with Matrices; 7.1 Matrix Transformations of the Plane; 7.2 Compositions and Inverses of Transformations; 7.3 Homogeneous Coordinates; 7.4 Chapter 7 Test.
  table of contents: A Answers to Odd-Numbered ExercisesB Properties, Theorems, and Methods; Index.
  note: David Hecker, Stephen Andrilli.
  note: Includes bibliographical references and index.
  subject:
    topic: Algebras, Linear
    genre: Textbooks
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Algebras, Linear
  classification: QA184.2
  classification: 512/.5
  related item:
    title info:
      title: Textbooks in mathematics (Boca Raton, Fla.)
  identifier: 9781315169699
  identifier: 131516969X
  identifier: 9781351689694
  identifier: 135168969X
  identifier: 1138062928
  identifier: 9781138062924
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 180819
    record change date: 20241111204732.5
    record identifier: in00005527834
    language of cataloging:
      language term: eng