Functorial Semiotics for Creativity in Music and Mathematics
Language: English
Published by Springer, 2023
- Softcover
- Used
Condition: Used
US$ 68.84
Quantity: 7 available
Add to basketItem description from seller
Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory.Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a ¿ech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence). The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.…
Seller Inventory # 41654481/1
- Title
- Functorial Semiotics for Creativity in Music and Mathematics
- Author
- Chen, Zilu
- Publisher
- Springer
- Publication year
- 2023
- Condition
- Hervorragend
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3030851923
- ISBN 13
- 9783030851927
- Series
- Book 20 of 20: Computational Music Science
- Seller catalogs
- Bücher
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory.
Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence).
The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory.
Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence).
The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.
"About the title" may belong to another edition of this title.
Shipping rates from Germany to U.S.A.
| Item | 60 to 60 business days | 60 to 60 business days |
|---|---|---|
| First item | US$ 117.62 | US$ 145.63 |
Payment methods
- Bank Wire Transfer
- Check
- Paypal
Store description
Seit über 30 Jahren handeln wir mit Büchern. Begonnen hat alles als kleiner Fachbuchhandel in Berlin. Heute sind wir spezialisiert auf den An- und Verkauf gebrauchter Bücher. Noch immer liegt unser Fokus dabei auf den Kategorien: Fachbuch und englischsprachige Literatur. Hinzu kommen Bücher aus allen anderen Genres, wie Belletristik, Biografien oder Kinderbücher. Unser oberstes Ziel ist dabei die Weiterverwendung von Dingen und die Schonung von Ressourcen. Neben dem Ankauf von privaten Büchern oder Haushaltsauflösungen kaufen wir bundesweit komplette Bibliotheken und Buchbestände von Institutionen auf, um diese nachhaltig ein weiteres Mal auf den Markt zu bringen. Parallel dazu bietet Buchpark die Möglichkeit, große Mengen einzulagern. Ganze Bibliotheken und umfangreiche Buchbestände werden von uns professionell auf Qualitätsmerkmale hin untersucht und sorgfältig für den Onlinehandel aufbereitet. Wir schenken Büchern ein zweites Leben.…
Seller's business information
Buchpark GmbH
Krügerweg 1
Trebbin, Germany 14959