{"product_id":"music-a-mathematical-offering-paperback-9780521619998","title":"Music: A Mathematical Offering (Paperback) 9780521619998","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMusic: A Mathematical Offering\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDave Benson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521619998, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 23 November 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e426 pages, 263 b\/w illus.  17 colour illus.\u003cbr\u003e24.4 x 17 x 2 cm, 0.84 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… an excellent introduction to the interdisciplinary subject of music and mathematics (which also involves physics, biology, psycho-acoustics, and the history of science and digital technology). The book can easily be used as the text for undergraduate courses.' The Mathematical Intelligencer\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSince the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e Acknowledgements\u003cbr\u003e 1. Waves and harmonics\u003cbr\u003e 2. Fourier theory\u003cbr\u003e 3. A mathematician's guide to the orchestra\u003cbr\u003e 4. Consonance and dissonance\u003cbr\u003e 5. Scales and temperaments: the fivefold way\u003cbr\u003e 6. More scales and temperaments\u003cbr\u003e 7. Digital music\u003cbr\u003e 8. Synthesis\u003cbr\u003e 9. Symmetry in music\u003cbr\u003e Appendix A. Bessel functions\u003cbr\u003e Appendix B. Equal tempered scales\u003cbr\u003e Appendix C. Frequency and MIDI chart\u003cbr\u003e Appendix D. Intervals\u003cbr\u003e Appendix E. Just, equal and meantone scales compared\u003cbr\u003e Appendix F. Music theory\u003cbr\u003e Appendix G. Recordings\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e], Theory of music \u0026amp; musicology [\u003ca title=\"See our other books on Theory of music \u0026amp; musicology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Theory%20of%20music%20\u0026amp;%20musicology%20%5BAVA%5D%22\"\u003eAVA\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000298754328,"sku":"9780521619998","price":25.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521619998i_69d59604-4bbb-4bb6-b0e8-f0805d5f532d.jpg?v=1691370644","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/music-a-mathematical-offering-paperback-9780521619998","provider":"Freshly Printed Books","version":"1.0","type":"link"}