Mathematics and Music: A Diderot Mathematical Forum

Author:   Gerard Assayag ,  Hans G. Feichtinger ,  Jose Francisco Rodrigues
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2002 ed.
ISBN:  

9783540437277


Pages:   288
Publication Date:   10 July 2002
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Our Price $340.56 Quantity:  
Add to Cart

Share |

Mathematics and Music: A Diderot Mathematical Forum


Add your own review!

Overview

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

Full Product Details

Author:   Gerard Assayag ,  Hans G. Feichtinger ,  Jose Francisco Rodrigues
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2002 ed.
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.360kg
ISBN:  

9783540437277


ISBN 10:   3540437274
Pages:   288
Publication Date:   10 July 2002
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

1 Proportions in Ancient and Medieval Music.- 2 The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler.- 3 The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale.- 4 Lagrange, “Working Mathematician” on Music Considered as a Source for Science.- 5 Musical Patterns.- 6 Questions of Logic: Writing, Dialectics and Musical Strategies.- 7 The Formalization of Logic and the Issue of Meaning.- 8 Musical Analysis Using Mathematical Proceedings in the XXth Century.- 9 Universal Prediction Applied to Stylistic Music Generation.- 10 Ethnomusicology, Ethnomathematics. The Logic Underlying Orally Transmitted Artistic Practices.- 11 Expressing Coherence of Musical Perception in Formal Logic.- 12 The Topos Geometry of Musical Logic.- 13 Computing Musical Sound.- 14 The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments.- 15 The Musical Communication Chain and its Modeling.- 16 Computational Models for Musical Sound Sources.

Reviews

From the reviews: Springer has just released a couple of very interesting and off-beat books. Mathematics and Music, edited by Assayag, Feichtinger and Rodrigues, is a collection of articles on math and music. ! Even the title is fascinating reading! (Bulletin of Mathematics Books, November, 2002) It is a kaleidoscope of various interactions between mathematics and music. ! This is the books strength and attraction. The interaction and impact of mathematics on music is illustrated ! . It is a book for the mathematician who already knows about some key aspects of music ! and wishes to learn about their historical development ! . It is a book for the musician who has an interest in musical theory and wishes to learn ! how it is connected to mathematics. (Bob Anderssen and Wayne Stuart, The Australian Mathematical Society Gazette, Vol. 30 (3), 2003) The Fourth Diderot Mathematical Forum took place simultaneously in Lisbon, Paris and Vienna ! in 1999. Relationships between Mathematics and Music were presented at this conference ! . The present book collects the sixteen written contributions to this Forum, illustrating with its large variety of articles the rich and deep interactions that exists between Mathematics and Music ! . this rare collection of papers presents a comprehensive list of topics relating fundamental mathematics, applications of mathematics and the relation of both to society. (Zentralblatt fur Didaktik der Mathematik, June, 2002) Composers and early music buffs will be fascinated by this collection of 16 essays constituting part of the proceedings of the 1999 Diderot Mathematical Forum. ! Not a light read but thoroughly recommended. (William Mcvicker, Classical Music, January, 2003)


From the reviews: Springer has just released a couple of very interesting and off-beat books. Mathematics and Music, edited by Assayag, Feichtinger and Rodrigues, is a collection of articles on math and music. ... Even the title is fascinating reading! (Bulletin of Mathematics Books, November, 2002) It is a kaleidoscope of various interactions between mathematics and music. ... This is the books strength and attraction. The interaction and impact of mathematics on music is illustrated ... . It is a book for the mathematician who already knows about some key aspects of music ... and wishes to learn about their historical development ... . It is a book for the musician who has an interest in musical theory and wishes to learn ... how it is connected to mathematics. (Bob Anderssen and Wayne Stuart, The Australian Mathematical Society Gazette, Vol. 30 (3), 2003) The Fourth Diderot Mathematical Forum took place simultaneously in Lisbon, Paris and Vienna ... in 1999. Relationships between Mathematics and Music were presented at this conference ... . The present book collects the sixteen written contributions to this Forum, illustrating with its large variety of articles the rich and deep interactions that exists between Mathematics and Music ... . this rare collection of papers presents a comprehensive list of topics relating fundamental mathematics, applications of mathematics and the relation of both to society. (Zentralblatt fur Didaktik der Mathematik, June, 2002) Composers and early music buffs will be fascinated by this collection of 16 essays constituting part of the proceedings of the 1999 Diderot Mathematical Forum. ... Not a light read but thoroughly recommended. (William Mcvicker, Classical Music, January, 2003)


From the reviews: <p> Springer has just released a couple of very interesting and off-beat books. Mathematics and Music, edited by Assayag, Feichtinger and Rodrigues, is a collection of articles on math and music. a ] Even the title is fascinating reading! (Bulletin of Mathematics Books, November, 2002) <p> It is a kaleidoscope of various interactions between mathematics and music. a ] This is the books strength and attraction. The interaction and impact of mathematics on music is illustrated a ] . It is a book for the mathematician who already knows about some key aspects of music a ] and wishes to learn about their historical development a ] . It is a book for the musician who has an interest in musical theory and wishes to learn a ] how it is connected to mathematics. (Bob Anderssen and Wayne Stuart, The Australian Mathematical Society Gazette, Vol. 30 (3), 2003) <p> The Fourth Diderot Mathematical Forum took place simultaneously in Lisbon, Paris and Vienna a ] in 1999. Relationships between Mathematics and Music were presented at this conference a ] . The present book collects the sixteen written contributions to this Forum, illustrating with its large variety of articles the rich and deep interactions that exists between Mathematics and Music a ] . this rare collection of papers presents a comprehensive list of topics relating fundamental mathematics, applications of mathematics and the relation of both to society. (Zentralblatt fA1/4r Didaktik der Mathematik, June, 2002) <p> Composers and early music buffs will be fascinated by this collection of 16 essays constituting part of the proceedings of the 1999 Diderot Mathematical Forum. a ] Not a light read but thoroughlyrecommended. (William Mcvicker, Classical Music, January, 2003)


Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List