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000763711 019__ $$a962127329$$a962436704
000763711 020__ $$a9783319429373$$q(electronic book)
000763711 020__ $$a331942937X$$q(electronic book)
000763711 020__ $$z9783319429359
000763711 020__ $$z3319429353
000763711 035__ $$aSP(OCoLC)ocn962016766
000763711 035__ $$aSP(OCoLC)962016766$$z(OCoLC)962127329$$z(OCoLC)962436704
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000763711 08204 $$a780/.0519$$223
000763711 1001_ $$aMazzola, G.$$q(Guerino)
000763711 24510 $$aCool math for hot music$$h[electronic resource] :$$ba first introduction to mathematics for music theorists /$$cGuerino Mazzola, Maria Mannone, Yan Pang.
000763711 260__ $$aCham :$$bSpringer,$$cc2016.
000763711 300__ $$a1 online resource.
000763711 336__ $$atext$$btxt$$2rdacontent
000763711 337__ $$acomputer$$bc$$2rdamedia
000763711 338__ $$aonline resource$$bcr$$2rdacarrier
000763711 4901_ $$aComputational music science
000763711 504__ $$aIncludes bibliographical references and index.
000763711 5050_ $$aPart I: Introduction and Short History -- The 'Counterpoint' of Mathematics and Music -- Short History of the Relationship Between Mathematics and Music -- Part II: Sets and Functions -- The Architecture of Sets -- Functions and Relations -- Universal Properties -- Part III: Numbers -- Natural Numbers -- Recursion -- Natural Arithmetic -- Euclid and Normal Forms -- Integers -- Rationals -- Real Numbers -- Roots, Logarithms, and Normal Forms -- Complex Numbers -- Part IV: Graphs and Nerves -- Directed and Undirected Graphs -- Nerves -- Part V: Monoids and Groups -- Monoids -- Groups -- Group Actions, Subgroups, Quotients, and Products -- Permutation Groups -- The Third Torus and Counterpoint -- Coltrane's Giant Steps -- Modulation Theory -- Part VI: Rings and Modules -- Rings and Fields -- Primes -- Matrices -- Modules -- Just Tuning -- Categories -- Part VII: Continuity and Calculus -- Continuity -- Differentiability -- Performance -- Gestures -- Part VIII: Solutions, References, Index -- Solutions of Exercises -- References -- Index.
000763711 506__ $$aAccess limited to authorized users.
000763711 520__ $$aThis textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.
000763711 650_0 $$aMusic$$xMathematics.
000763711 650_0 $$aMusic.
000763711 650_0 $$aComputer science$$xMathematics.
000763711 650_0 $$aArtificial intelligence.
000763711 650_0 $$aApplication software.
000763711 650_0 $$aMathematics.
000763711 7001_ $$aMannone, Maria.
000763711 7001_ $$aPang, Yan.
000763711 77608 $$iPrint version:$$z3319429353$$z9783319429359$$w(OCoLC)952154191
000763711 830_0 $$aComputational music science.
000763711 852__ $$bebk
000763711 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42937-3$$zOnline Access$$91397441.1
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000763711 980__ $$aEBOOK
000763711 980__ $$aBIB
000763711 982__ $$aEbook
000763711 983__ $$aOnline
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