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: Euclid
    sub title: the creation of mathematics
  name:
    name part: Artmann, Benno.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: biography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvi, 349 pages) : illustrations
  abstract: The philosopher Immanuel Kant writes in the popular introduction to his philosophy: "There is no single book about metaphysics like we have in mathematics. If you want to know what mathematics is, just look at Euclid's Elements." (Prolegomena Paragraph 4) Even if the material covered by Euclid may be considered elementary for the most part, the way in which he presents essential features of mathematics in a much more general sense, has set the standards for more than 2000 years. He displays the axiomatic foundation of a mathematical theory and its conscious development towards the solution of a specific problem. We see how abstraction works and how it enforces the strictly deductive presentation of a theory. We learn what creative definitions are and how the conceptual grasp leads to the classification of the relevant objects. For each of Euclid's thirteen Books, the author has given a general description of the contents and structure of the Book, plus one or two sample proofs. In an appendix, the reader will find items of general interest for mathematics, such as the question of parallels, squaring the circle, problem and theory, what rigour is, the history of the platonic polyhedra, irrationals, the process of generalization, and more. This is a book for all lovers of mathematics with a solid background in high school geometry, from teachers and students to university professors. It is an attempt to understand the nature of mathematics from its most important early source.
  note: Benno Artmann.
  note: Softcover reprint of the hardcover 1st edition 1999.
  note: Electronic resource.
  note: Includes bibliographical references (pages 329-339) and index.
  subject:
    geographic code: e-gr---
  subject:
    name:
      name part: Euclid
  subject:
    title info:
      title: Elements (Euclid)
  subject:
    topic: Mathematics, Greek
  subject:
    topic: Mathematics, Greek
  classification: QA31.E9 A78 1999eb
  classification: 510
  related item:
    title info:
      title: Euclid
    name:
      name part: Artmann, Benno.
    origin info:
      publisher: New York : Springer, ©1999
    identifier: (DLC) 98031042
  identifier: 9781461214120 (electronic bk.)
  identifier: 1461214122 (electronic bk.)
  identifier: 9781461271345
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: E7B
    record creation date: 980818
    record change date: 20260422231224.5
    record identifier: in00003552345
    language of cataloging:
      language term: eng