Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 -- its formal language and models are used by leading researchers in Europe and North America and have become a foundation of music software design. Prof. Mazzola has a joint appointment as professor in the School of Music and in the Interdisciplinary Program in Collaborative Arts at the College of Liberal Arts, University of Minnesota. Florian Thalmann is a PhD student at the School of Music of the University of Minnesota; he has a degree in computer science from the University of Bern. Dr. Joomi Park is a composer and pianist who performs her own work throughout the United States, Asia and Europe; she received her Ph.D. in music composition at the University of Minnesota; her music was awarded first prize in both the Beethoven Club Composition contest, offered in conjunction with the Belvedere Chamber Music Festival, and the J. Dorfman MemorialCompetition, held by ISAM in Germany; she is a faculty member in the McNally Smith College of Music.

• Part I Introduction.- Chap. 1 What the Book Is About.- Chap. 2 Oniontology.- Part II Practice.- Chap. 3 The Tutorial.- Chap. 4 Leitfaden.- Chap. 5 The General Method of Creativity.- Chap. 6 Getting off the Ground.- Chap. 7 Motivational Aspects.- Chap. 8 Rhythmical Aspects.- Chap. 9 The Pitch Aspect.- Chap. 10 The Harmonic Aspect.- Chap. 11 Melodic Aspects.- Chap. 12 The Contrapuntal Aspect.- Chap. 13 Instrumental Aspects.- Chap. 14 Large Form Aspects.- Chap. 15 Community Aspects.- Chap. 16 Commercial Aspects.- Chap. 17 Dodecaphonic Aspects.- Part III Theory.- Chap. 18 Principles of Creative Pedagogy.- Chap. 19 Material.- Chap. 20 Historical Principles.- Chap. 21 Present Principles.- Chap. 22 Our Principles.- Chap. 23 First Examples.- Chap. 24 Psychological Perspectives.- Chap. 25 Software.- Chap. 26 Composition and Improvisation.- Part IV Case Studies.- Chap. 27 Ludwig van Beethoven’s Op109: Six Variations.- Chap. 28 Beethoven’s Op109: Improvisational Aspects.- Chap. 29 Our CD.- Chap.30 Boulez: Structures Recomposed.- Chap. 31 The Escher Theorem.- Part V Future Perspectives.- Chap. 32 Is There a General Scheme for Creativity?.- Chap. 33 The Balanced Dancing Performer .- References.- Bibliography.

Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 -- its formal language and models are used by leading researchers in Europe and North America and have become a foundation of music software design. Prof. Mazzola has a joint appointment as professor in the School of Music and in the Interdisciplinary Program in Collaborative Arts at the College of Liberal Arts, University of Minnesota. Florian Thalmann is a PhD student at the School of Music of the University of Minnesota; he has a degree in computer science from the University of Bern. Dr. Joomi Park is a composer and pianist who performs her own work throughout the United States, Asia and Europe; she received her Ph.D. in music composition at the University of Minnesota; her music was awarded first prize in both the Beethoven Club Composition contest, offered in conjunction with the Belvedere Chamber Music Festival, and the J. Dorfman MemorialCompetition, held by ISAM in Germany; she is a faculty member in the McNally Smith College of Music.

• Part I Introduction.- Chap. 1 What the Book Is About.- Chap. 2 Oniontology.- Part II Practice.- Chap. 3 The Tutorial.- Chap. 4 Leitfaden.- Chap. 5 The General Method of Creativity.- Chap. 6 Getting off the Ground.- Chap. 7 Motivational Aspects.- Chap. 8 Rhythmical Aspects.- Chap. 9 The Pitch Aspect.- Chap. 10 The Harmonic Aspect.- Chap. 11 Melodic Aspects.- Chap. 12 The Contrapuntal Aspect.- Chap. 13 Instrumental Aspects.- Chap. 14 Large Form Aspects.- Chap. 15 Community Aspects.- Chap. 16 Commercial Aspects.- Chap. 17 Dodecaphonic Aspects.- Part III Theory.- Chap. 18 Principles of Creative Pedagogy.- Chap. 19 Material.- Chap. 20 Historical Principles.- Chap. 21 Present Principles.- Chap. 22 Our Principles.- Chap. 23 First Examples.- Chap. 24 Psychological Perspectives.- Chap. 25 Software.- Chap. 26 Composition and Improvisation.- Part IV Case Studies.- Chap. 27 Ludwig van Beethoven’s Op109: Six Variations.- Chap. 28 Beethoven’s Op109: Improvisational Aspects.- Chap. 29 Our CD.- Chap.30 Boulez: Structures Recomposed.- Chap. 31 The Escher Theorem.- Part V Future Perspectives.- Chap. 32 Is There a General Scheme for Creativity?.- Chap. 33 The Balanced Dancing Performer .- References.- Bibliography.

Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 -- its formal language and models are used by leading researchers in Europe and North America and have become a foundation of music software design. Prof. Mazzola has a joint appointment as professor in the School of Music and in the Interdisciplinary Program in Collaborative Arts at the College of Liberal Arts, University of Minnesota. Florian Thalmann is a PhD student at the School of Music of the University of Minnesota; he has a degree in computer science from the University of Bern. Dr. Joomi Park is a composer and pianist who performs her own work throughout the United States, Asia and Europe; she received her Ph.D. in music composition at the University of Minnesota; her music was awarded first prize in both the Beethoven Club Composition contest, offered in conjunction with the Belvedere Chamber Music Festival, and the J. Dorfman MemorialCompetition, held by ISAM in Germany; she is a faculty member in the McNally Smith College of Music.

• Part I Introduction.- Chap. 1 What the Book Is About.- Chap. 2 Oniontology.- Part II Practice.- Chap. 3 The Tutorial.- Chap. 4 Leitfaden.- Chap. 5 The General Method of Creativity.- Chap. 6 Getting off the Ground.- Chap. 7 Motivational Aspects.- Chap. 8 Rhythmical Aspects.- Chap. 9 The Pitch Aspect.- Chap. 10 The Harmonic Aspect.- Chap. 11 Melodic Aspects.- Chap. 12 The Contrapuntal Aspect.- Chap. 13 Instrumental Aspects.- Chap. 14 Large Form Aspects.- Chap. 15 Community Aspects.- Chap. 16 Commercial Aspects.- Chap. 17 Dodecaphonic Aspects.- Part III Theory.- Chap. 18 Principles of Creative Pedagogy.- Chap. 19 Material.- Chap. 20 Historical Principles.- Chap. 21 Present Principles.- Chap. 22 Our Principles.- Chap. 23 First Examples.- Chap. 24 Psychological Perspectives.- Chap. 25 Software.- Chap. 26 Composition and Improvisation.- Part IV Case Studies.- Chap. 27 Ludwig van Beethoven’s Op109: Six Variations.- Chap. 28 Beethoven’s Op109: Improvisational Aspects.- Chap. 29 Our CD.- Chap.30 Boulez: Structures Recomposed.- Chap. 31 The Escher Theorem.- Part V Future Perspectives.- Chap. 32 Is There a General Scheme for Creativity?.- Chap. 33 The Balanced Dancing Performer .- References.- Bibliography.