{"product_id":"from-music-to-mathematics-exploring-the-connections-hardcover","title":"From Music to Mathematics: Exploring the Connections - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eGareth E. Roberts\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eTaking a \"music first\" approach, Gareth E. Roberts's \u003cem\u003eFrom Music to Mathematics\u003c\/em\u003e will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics.\u003c\/p\u003e\u003cp\u003eComprehensive and clearly written, \u003cem\u003eFrom Music to Mathematics\u003c\/em\u003e is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational.\u003c\/p\u003e\u003cp\u003eTopics discussed in the book include\u003c\/p\u003e\u003cp\u003eRhythm\u003cbr\u003e Introductory music theory\u003cbr\u003e The science of sound\u003cbr\u003e Tuning and temperament\u003cbr\u003e Symmetry in music\u003cbr\u003e The Bartók controversy\u003cbr\u003e Change ringing\u003cbr\u003e Twelve-tone music\u003cbr\u003e Mathematical modern music\u003cbr\u003e The Hemachandra-Fibonacci numbers and the golden ratio\u003cbr\u003e Magic squares\u003cbr\u003e Phase shifting\u003c\/p\u003e\u003cp\u003eFeaturing numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eGareth E. Roberts\u003c\/b\u003e is an associate professor of mathematics at the College of the Holy Cross.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 320\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 10 x 6.9 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 01, 2016\u003c\/div\u003e\n            ","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":53096700772576,"sku":"9781421419183","price":101.4,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0811\/5909\/4496\/files\/CpTy99K6Kv9781421419183.webp?v=1781678008","url":"https:\/\/improvedinc.myshopify.com\/products\/from-music-to-mathematics-exploring-the-connections-hardcover","provider":"Improved Improper Input Inc.","version":"1.0","type":"link"}