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: Symmetry
    sub title: A Mathematical Exploration
  name:
    name part: Tapp, Kristopher.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2021
    edition: 2nd ed. 2021.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XII, 259 pages 300 illustrations, 289 illustrations in color.)
  abstract: This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From the human body, to elaborate artworks and abstract networks, symmetry is ubiquitous in the world around us; it is essential to function and beauty across the built and natural world. By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science. Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections. Topics that follow include the classification of two-dimensional patterns, the Platonic solids, and a study of real and prime numbers. This second edition features numerous new examples and exercises, "Elements of Mathematics" sections that more closely examine mathematical tools, and optional content that offers opportunities for extension. Figures are woven into the presentation throughout, with many illustrations now offered in motion as integrated video content. Symmetry suits a wide audience, demanding no mathematical training past high school basics, yet stretching the imagination of math and non-math majors alike. Its engaging yet rigorous style offers a window into mathematicians' ways of thinking. By developing mathematical reasoning skills in a spatial context, this text is ideal for a course that meets quantitative requirements for non-STEM majors. Instructors will appreciate the author's comprehensive online resources, which include a full set of animated lecture slides; all readers will delight in watching the book's content come alive using the multimedia app.
  table of contents: Preface -- 1. Introduction to Symmetry -- 2. The Algebra of Symmetry -- 3. The Classification Theorems -- 4. Isomorphic Groups -- 5. Subgroups and Product Groups -- 6. Permutation Groups -- 7. Symmetries of 3D Objects -- 8. The Five Platonic Solids -- 9. Symmetry and Optimization -- 10. What is a Number? -- 11. Excursions in Numbers -- 12. Rigid Motions as Functions -- 13. Rigid Motions as Matrices -- Image Credits -- Index.
  note: by Kristopher Tapp.
  subject:
    topic: Group theory
  subject:
    topic: Geometry
  subject:
    topic: Mathematics
  subject:
    topic: Social sciences
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Geometry
  subject:
    topic: Mathematics in the Humanities and Social Sciences
  subject:
    topic: Mathematics in Art and Architecture
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Texts for Quantitative Critical Thinking
  identifier: 9783030516697
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 210828
    record change date: 20230330185245.6
    record identifier: in00004390215