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 transformation
    sub title: examples and solutions
  name:
    name part: Shah, Nita H.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Chaudhari, Urmila B.
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Problems and Exercises
  genre: exercise books.
  genre: Problems and exercises
  genre: Problems and exercises.
  genre: Problèmes et exercices.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices.
  table of contents: Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Acknowledgements -- Authors -- Chapter 1 Linear Transformations of Euclidean Vector Space -- 1.1 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.1.1 Transformations from R[sup(n)] to R[sup(m)] -- 1.1.2 Linear Transformations from R[sup(n)] to R[sup(m)] -- 1.2 Matrix Representation of Linear Transformations -- 1.3 Different Types of Operators and their Composition -- 1.3.1 Reflection Operator -- 1.3.2 Orthogonal Projection Operator -- 1.3.3 Rotation Operator
  table of contents: 1.3.4 Contraction and Dilation Operators -- 1.3.5 Shear Operator -- 1.4 Composition of Two or More Transformations -- Exercise Set 1 -- Answers to Exercise Set 1 -- Chapter 2 General Linear Transformations -- 2.1 Introduction of General Linear Transformations -- 2.1.1 Properties of Linear Transformations -- 2.2 Forming a Linear Transformation -- 2.2.1 Obtaining Linear Transformations from Basis Vectors and their Image Vectors -- 2.3 Kernel and Range of Linear Transformation T -- 2.4 Composition of the Linear Transformation -- Exercise Set 2 -- Answers to Exercise Set 2
  table of contents: Chapter 3 Inverse Linear Transformation -- 3.1 One-One Transformation -- 3.1.1 Some Important Results -- 3.2 Onto Transformation -- 3.3 Isomorphism -- 3.4 Inverse Linear Transformation -- Exercise Set 3 -- Answers to Exercise Set 3 -- Chapter 4 Matrices of General Linear Transformations -- 4.1 Matrix of General Transformations -- 4.2 Similarity -- 4.2.1 Effect of Changing Bases on Matrices of Linear Operators -- Exercise Set 4 -- Answers to Exercise Set 4 -- Multiple-Choice Questions on Linear Transformation -- Bibliography -- Index
  note: Nita H. Shah and Urmila B. Chaudhari.
  note: Includes bibliographical references and index.
  subject:
    topic: Algebras, Linear
    genre: Problems, exercises, etc
  subject:
    topic: Linear operators
  subject:
    topic: Algèbre linéaire
    genre: Problèmes et exercices
  subject:
    topic: Opérateurs linéaires
  subject:
    topic: MATHEMATICS
    topic: Applied
  subject:
    topic: TECHNOLOGY
    topic: Operations Research
  subject:
    topic: BUSINESS & ECONOMICS
    topic: Operations Research
  subject:
    topic: Algebras, Linear
  subject:
    topic: Linear operators
  classification: QA184.5
  classification: 512/.5
  related item:
    title info:
      title: Linear transformation
    name:
      name part: Shah, Nita H.
    origin info:
      publisher: Boca Raton : CRC Press, 2021
      edition: First edition.
    identifier: (DLC) 2020040003
  related item:
    title info:
      title: Mathematical engineering, manufacturing, and management sciences
  identifier: 9781003105206
  identifier: 1003105203
  identifier: 9781000337426
  identifier: 1000337421
  identifier: 9781000337433
  identifier: 100033743X
  identifier: 9781000337440
  identifier: 1000337448
  identifier: 9780367613259
  identifier: 2020040004
  identifier: 9781003105206 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: DLC
    record creation date: 200901
    record change date: 20241108165912.2
    record identifier: in00005524707
    language of cataloging:
      language term: eng