Isbn: 9781041168164 - introduction to the mathematics of music (ak peters/crc recreational mathematics series) (21 resultados)

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condición: New. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools - for instance linking Olivier Messiaen's forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure' mathematics.…

Paperback or Softback. Condición: New. Introduction to the Mathematics of Music. Book.

Condición: New.

Paperback. Condición: New. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools - for instance linking Olivier Messiaen's forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure' mathematics.…

Condición: New.

Condición: New.

Condición: New.

Paperback / softback. Condición: New. New copy - Usually dispatched within 4 working days.

Condición: NEW.

Taschenbuch. Condición: Neu. Neuware - Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory. - After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12. - Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools - for instance linking Olivier Messiaen's forgotten Modes of Limited Transposition with subgroups of the dihedral group D12. - The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline. - A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil. This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure' mathematics.…

Paperback. Condición: new. Paperback. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools for instance linking Olivier Messiaens forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure mathematics. Aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Condición: New.

Condición: New. 2026. 1st Edition. paperback. . . . . . Books ship from the US and Ireland.

Condición: New. 2026. 1st Edition. paperback. . . . . .

Paperback. Condición: New. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools - for instance linking Olivier Messiaen's forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure' mathematics.…

Paperback. Condición: New. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools - for instance linking Olivier Messiaen's forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure' mathematics.…

Taschenbuch. Condición: Neu. Introduction to the Mathematics of Music | Emmanuel Amiot | Taschenbuch | AK Peters/CRC Recreational Mathematics Series | Einband - flex.(Paperback) | Englisch | 2026 | Taylor & Francis Ltd | EAN 9781041168164 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu.…

Paperback. Condición: new. Paperback. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools for instance linking Olivier Messiaens forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure mathematics. Aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Paperback. Condición: Brand New. 168 pages. 9.18x6.12x9.21 inches. In Stock. This item is printed on demand.

Paperback. Condición: new. Paperback. Introduction to the Mathematics of Music is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools for instance linking Olivier Messiaens forgotten Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure mathematics. Aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…