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This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.

Computer science. --- Music. --- Computer science --- Artificial intelligence. --- Application software. --- Mathematics. --- Computer Science. --- Computer Appl. in Arts and Humanities. --- Mathematics in Music. --- Mathematics of Computing. --- Artificial Intelligence (incl. Robotics). --- Math --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Informatics --- Mathematics --- Science --- Computer software --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Information systems. --- Artificial Intelligence. --- Computer science—Mathematics. --- Music

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Music --- Mathematics

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This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

Mathematics. --- Performing arts. --- Music. --- User interfaces (Computer systems). --- Application software. --- Mathematics in Music. --- User Interfaces and Human Computer Interaction. --- Computer Appl. in Arts and Humanities. --- Performing Arts. --- Creativity and Arts Education. --- Music theory --- Music --- Philosophy and aesthetics. --- Hermeneutics (Music) --- Musical aesthetics --- Aesthetics --- Philosophy --- Computer science. --- Information systems. --- Show business --- Arts --- Performance art --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Informatics --- Science --- Art education. --- Art --- Art education --- Education, Art --- Art schools --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Interfaces, User (Computer systems) --- Human-machine systems --- Human-computer interaction --- Math --- Analysis, interpretation, appreciation --- Education

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This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

Human sciences (algemeen) --- Didactics of the arts --- Mathematics --- Computer science --- Information systems --- Computer. Automation --- Music --- Theatrical science --- performances (kunst) --- gitaren --- theater --- computers --- informatica --- muziek --- sociale wetenschappen --- kunstonderwijs --- informatiesystemen --- hindoeïsme --- creativiteit --- wiskunde --- computerkunde