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Author: Claus Michelsen Publisher: Springer Nature ISBN: 3031105184 Category : Education Languages : en Pages : 560
Book Description
This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.
Author: Claus Michelsen Publisher: Springer Nature ISBN: 3031105184 Category : Education Languages : en Pages : 560
Book Description
This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.
Author: Guerino Mazzola Publisher: Springer ISBN: 3319643649 Category : Mathematics Languages : en Pages : 675
Book Description
This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.
Author: Carlos Agon Publisher: Springer Science & Business Media ISBN: 3642215890 Category : Computers Languages : en Pages : 387
Book Description
This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.
Author: Gerard Assayag Publisher: Springer Science & Business Media ISBN: 9783540437277 Category : Mathematics Languages : en Pages : 310
Book Description
In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.
Author: Guerino Mazzola Publisher: Springer ISBN: 3319644955 Category : Mathematics Languages : en Pages : 353
Book Description
This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.
Author: Michel Huglo Publisher: Taylor & Francis ISBN: 1000948404 Category : History Languages : en Pages : 387
Book Description
This is the final volume in the set of four collections of Michel Huglo's articles to be published in the Variorum series, and focuses on medieval music theory. The point of departure for Huglo's research was his doctoral dissertation on tonaries, published in 1971: as a consequence, he studied the manuscripts of music theory concerning plainchant, and, later, those with writings on music by authors of Late Antiquity as well as the Liber glossarum, with its many definitions of musical terms. In this volume, certain articles consider the interpretation or dissemination of texts, instruction in the art of plainchant, and musical instruction at the university. Others concern the manuscripts of St Augustine's De musica and of the writings of Calcidius, Macrobius, Helisachar, Hucbald, Gerbert of Aurillac, Abbo of Fleury, John of Afflighem, and Hieronymus de Moravia, amongst others. The volume closes with a bibliography of Michel Huglo complementing that published in 1993 and a summary list of his reviews of books on music and liturgy. Ce volume des articles de Michel Huglo termine la série de quatre dans la collection Variorum. Il est centré sur la théorie musicale médiévale. Le point de départ des recherches de Michel Huglo sur la théorie musicale du Moyen Âge est formé par sa thèse sur les tonaires, éditée en 1971: en consequence il etudia les manuscrits de theorie musicale concernant le plain-chant et, plus tard, les auteurs de l'Antiquité tardive et le Liber glossarum qui contient des définitions de nombreux termes musicaux. Dans ce volume, certains articles traitent de l'interprétation ou de la dissémination des textes, des instructions sur l'art du chant, et sur l'enseignement de la musique à l'Université. Ils concernent les manuscrits du De musica d'Augustin, de Calcidius, Macrobe, Helisachar, Hucbald, Gerbert d'Aurillac, Abbon de Fleury, Jean d'Afflighem, Hieronymus de Moravia, et d'autres auteurs. Le volume se termine par une bibliographie de Michel Huglo complétant celle publiée en 1993 et une liste sommaire de ses recensions d'ouvrages sur la musique et la liturgie.
Author: Claus Michelsen
Author: Claus Michelsen
Author: Guerino Mazzola
Author: Carlos Agon
Author: Gerard Assayag
Author: Guerino Mazzola
Author: Michel Huglo
Author: Mrs. Gambold
Author: Guerino Mazzola
Author: 
Author: Harold Reeves (Firm)