Newsletter   Secure Checkout   View Cart (0 items)  
Search:    Welcome Guest! Save up to 30-40% on most items with our awesome everyday discounts!

The Topos of Music: Geometric Logic of Concepts, Theory, and Performance [Hardcover]

By Guerino Mazzola, Stefan Goller (Contributor) & Stefan Muller (Contributor)
Our Price $ 146.30  
Retail Value $ 209.00  
You Save $ 62.70  (30%)  
Item Number 223734  
Buy New $146.30
Quantity:
Out Of Stock!
Currently Out Of Stock
Currently unavailable...

Item description for The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola, Stefan Goller & Stefan Muller...

The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Tne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Tne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies.

The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters which give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of highest-ranked human performances.

The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples.





Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!

Item Specifications...


Pages   1368
Est. Packaging Dimensions:   Length: 2.25" Width: 7" Height: 9.5"
Weight:   6.2 lbs.
Binding  Hardcover
Release Date   Jan 17, 2003
Publisher   Birkhäuser Basel
ISBN  3764357312  
ISBN13  9783764357313  


Availability  0 units.


More About Guerino Mazzola, Stefan Goller & Stefan Muller


Register your artisan biography and upload your photo! Are You The Artisan or Author behind this product?
Improve our customers experience by registering for an Artisan Biography Center Homepage.



Product Categories

1Books > Subjects > Entertainment > Music > Theory, Composition & Performance > Theory
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > General
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
12Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus



Reviews - What do customers think about The Topos of Music: Geometric Logic of Concepts, Theory, and Performance?

The shotgun approach to deep musical structure  Jun 24, 2008
A pompous and confused application of category theory to music.

The math is advanced, and so is the obscurity of the encyclopedic and voluminous prose. This is a pity, since Mazzola makes a number of fascinating and deep observations. Fighting through the dense, barely edited, text to find these gems, however, is an activity best left to the most masochistic of PhD candidates in music theory, especially given the heft and price of the book.
 

Write your own review about The Topos of Music: Geometric Logic of Concepts, Theory, and Performance



Ask A Question or Provide Feedback regarding The Topos of Music: Geometric Logic of Concepts, Theory, and Performance


Item Feedback and Product Questions
For immediate assistance call 888.395.0572 during the hours of 10am thru 8pm EST Monday thru Friday and a customer care representative will be happy to help you!

Help us continuously improve our service by reporting your feedback or questions below:

I have a question regarding this product
The information above is incorrect or conflicting
The page has misspellings or incorrect grammar
The page did not load correctly in my browser or created an error.

Email Address:
Anti Spam Question. To combat spammers we require that you answer a simple question.
What color is the sky?
Leave This Blank :
Do Not Change This Text :



Add This Product Widget To Your Website

Looking to add this information to your own website? Then use our Product Widget to allow you to display product information in a frame that is 120 pixels wide by 240 pixels high.

    Copy and paste the following HTML into your website and enjoy!



Order toll-free weekdays 10am thru 10pm EST by phone: 1-888-395-0572 (Lines are closed on holidays & weekends.)
Customer Service | My Account | Track My Orders | Return Policy | Request Free Catalog | Email Newsletter


Resources
Gift Certificates
RSS Feeds
Corporate
About Us
Contact Us
Policies
Terms Of Use
Privacy Policy