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The Topos of Music IV: Roots

Appendices

Authors:

  • Comprehensive list of references
  • Includes the full-book index
  • Explains background topics in sound and mathematics

Part of the book series: Computational Music Science (CMS)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xlvii
  2. Appendix: Sound

    1. Front Matter

      Pages 1333-1333
    2. Common Parameter Spaces

      • Guerino Mazzola
      Pages 1335-1351
    3. Auditory Physiology and Psychology

      • Guerino Mazzola
      Pages 1353-1368
  3. Appendix: Mathematical Basics

    1. Front Matter

      Pages 1369-1369
    2. Sets, Relations, Monoids, Groups

      • Guerino Mazzola
      Pages 1371-1383
    3. Rings and Algebras

      • Guerino Mazzola
      Pages 1385-1390
    4. Modules, Linear, and Affine Transformations

      • Guerino Mazzola
      Pages 1391-1409
    5. Algebraic Geometry

      • Guerino Mazzola
      Pages 1411-1417
    6. Categories, Topoi, and Logic

      • Guerino Mazzola
      Pages 1419-1441
    7. Complements on General and Algebraic Topology

      • Guerino Mazzola
      Pages 1443-1447
    8. Complements on Calculus

      • Guerino Mazzola
      Pages 1449-1456
    9. More Complements on Mathematics

      • Guerino Mazzola
      Pages 1457-1477
  4. Appendix: Complements in Physics

    1. Front Matter

      Pages 1479-1479
    2. Complements on Physics

      • Guerino Mazzola
      Pages 1481-1494
  5. Appendix: Tables

    1. Front Matter

      Pages 1495-1495
    2. Euler’s Gradus Function

      • Guerino Mazzola
      Pages 1497-1497
    3. Just and Well-Tempered Tuning

      • Guerino Mazzola
      Pages 1499-1499
    4. Chord and Third Chain Classes

      • Guerino Mazzola
      Pages 1501-1511
    5. Two, Three, and Four Tone Motif Classes

      • Guerino Mazzola
      Pages 1513-1524

About this book

This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.

Authors and Affiliations

  • School of Music , University of Minnesota, Minneapolis, USA

    Guerino Mazzola

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access