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The scientific approach of this book transcends the limits of art literature in that it also develops geometric theories of gestures and distributed identities, also known as swarm intelligence. We exemplify this approach in the framework of free jazz, which is a prototypical creative and collaborative art form. Leader artists such as John Coltrane, Pharoah Sanders, Cecil Taylor, Sun Ra, The Art Ensemble of Chicago, Albert Ayler, Don Cherry, and Archie Shepp are presented in their strongest works and theories. The pillars of our theory of collaboration are built from psychologist Mihaly Csikszentmihalyi’s flow, physicist Gilles Châtelet’s gestures, and computer scientist Bill Wulf's collaboratories.

Free jazz -- Analysis, appreciation. --- Free jazz -- History and criticism. --- Free jazz. --- Gesture in music. --- Improvisation (Music). --- Engineering & Applied Sciences --- Art, Architecture & Applied Arts --- Computer Science --- Fine Arts - General --- Jazz --- Music theory --- Music --- Mathematics. --- Mathematical models. --- Data processing. --- Acoustics and physics. --- Philosophy and aesthetics. --- Hermeneutics (Music) --- Musical aesthetics --- Musical acoustics --- Musical theory --- Theory of music --- Accordion and piano music (Jazz) --- Clarinet and piano music (Jazz) --- Cornet and piano music (Jazz) --- Double bass and piano music (Jazz) --- Jazz duets --- Jazz ensembles --- Jazz music --- Jazz nonets --- Jazz octets --- Jazz quartets --- Jazz quintets --- Jazz septets --- Jazz sextets --- Jazz trios --- Jive (Music) --- Saxophone and piano music (Jazz) --- Vibraphone and piano music (Jazz) --- Wind instrument and piano music (Jazz) --- Xylophone and piano music (Jazz) --- Aesthetics --- Philosophy --- Physics --- Theory --- Culture --- Music. --- Artificial intelligence. --- Application software. --- Multimedia systems. --- Category theory (Mathematics). --- Homological algebra. --- Computer mathematics. --- Cultural and Media Studies. --- Computer Appl. in Arts and Humanities. --- Artificial Intelligence (incl. Robotics). --- Category Theory, Homological Algebra. --- Computational Science and Engineering. --- Media Design. --- Study and teaching. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Cultural studies --- Mathematics --- Sound --- Monochord --- African Americans --- Third stream (Music) --- Washboard band music --- Information systems. --- Algebra. --- Computer science. --- Artificial Intelligence. --- Informatics --- Science --- Mathematical analysis --- Multimedia systems .