View in EDS PDF Full Text

A Brief Quadrivium

Saved in:
Bibliographic Details
Title: A Brief Quadrivium
Description: Mathematics holds a central place in the traditional liberal arts. The four mathematical disciplines of the quadrivium-arithmetic, geometry, music, and astronomy-reveal their enduring significance in this work, which offers the first unified, textbook treatment of these four subjects. Drawing on fundamental sources including Euclid, Boethius, and Ptolemy, this presentation respects the proper character of each discipline while revealing the relations among these liberal arts, as well as their connections to later mathematical and scientific developments. This book makes the quadrivium newly accessible in a number of ways. First, the careful choice of material from ancient sources means that students receive a faithful, integral impression of the classical quadrivium without being burdened or confused by an unwieldy mass of scattered results. Second, the terminology and symbols that are used convey the real insights of older mathematical approaches without introducing needless archaism. Finally, and perhaps most importantly, the book is filled with hundreds of exercises. Mathematics must be learned actively, and the exercises structured to complement the text, and proportioned to the powers of a learner to offer a clear path by which students make quadrivial knowledge their own. Many readers can profit from this introduction to the quadrivium. Students in high school will acquire a sense of the nature of mathematical proof and become confident in using mathematical language. College students can discover that mathematics is more than procedure, while also gaining insight into an intellectual current that influenced authors they are already reading: authors such as Plato, Aristotle, Augustine, Thomas Aquinas, and Dante. All will find a practical way to grasp a body of knowledge that, if long neglected, is never out of date.
Authors: Peter Ulrickson
Resource Type: eBook.
Subjects: Music theory, Cosmology, Geometry, Plane, Number theory
Categories: MATHEMATICS / History & Philosophy, EDUCATION / Teaching / Subjects / Mathematics, MATHEMATICS / Study & Teaching
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3596827
RelevancyScore: 1116
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1116.28857421875
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$3596827$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$3596827$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A Brief Quadrivium
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Mathematics holds a central place in the traditional liberal arts. The four mathematical disciplines of the quadrivium-arithmetic, geometry, music, and astronomy-reveal their enduring significance in this work, which offers the first unified, textbook treatment of these four subjects. Drawing on fundamental sources including Euclid, Boethius, and Ptolemy, this presentation respects the proper character of each discipline while revealing the relations among these liberal arts, as well as their connections to later mathematical and scientific developments. This book makes the quadrivium newly accessible in a number of ways. First, the careful choice of material from ancient sources means that students receive a faithful, integral impression of the classical quadrivium without being burdened or confused by an unwieldy mass of scattered results. Second, the terminology and symbols that are used convey the real insights of older mathematical approaches without introducing needless archaism. Finally, and perhaps most importantly, the book is filled with hundreds of exercises. Mathematics must be learned actively, and the exercises structured to complement the text, and proportioned to the powers of a learner to offer a clear path by which students make quadrivial knowledge their own. Many readers can profit from this introduction to the quadrivium. Students in high school will acquire a sense of the nature of mathematical proof and become confident in using mathematical language. College students can discover that mathematics is more than procedure, while also gaining insight into an intellectual current that influenced authors they are already reading: authors such as Plato, Aristotle, Augustine, Thomas Aquinas, and Dante. All will find a practical way to grasp a body of knowledge that, if long neglected, is never out of date.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Peter+Ulrickson%22">Peter Ulrickson</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Music+theory%22">Music theory</searchLink><br /><searchLink fieldCode="DE" term="%22Cosmology%22">Cosmology</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Plane%22">Geometry, Plane</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+History+%26+Philosophy%22">MATHEMATICS / History & Philosophy</searchLink><br /><searchLink fieldCode="ZK" term="%22EDUCATION+%2F+Teaching+%2F+Subjects+%2F+Mathematics%22">EDUCATION / Teaching / Subjects / Mathematics</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Study+%26+Teaching%22">MATHEMATICS / Study & Teaching</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=3596827
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Music theory
        Type: general
      – SubjectFull: Cosmology
        Type: general
      – SubjectFull: Geometry, Plane
        Type: general
      – SubjectFull: Number theory
        Type: general
    Titles:
      – TitleFull: A Brief Quadrivium
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Peter Ulrickson
      – PersonEntity:
          Name:
            NameFull: Peter Ulrickson
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2023
            – D: 30
              M: 05
              Type: profile
              Y: 2023
          Identifiers:
            – Type: isbn-print
              Value: 9781949822328
            – Type: isbn-electronic
              Value: 9781949822335
          Titles:
            – TitleFull: A Brief Quadrivium
              Type: main
ResultId 1