000 | 03625nam a22005895i 4500 | ||
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001 | 978-3-319-42937-3 | ||
003 | DE-He213 | ||
005 | 20200421112042.0 | ||
007 | cr nn 008mamaa | ||
008 | 161026s2016 gw | s |||| 0|eng d | ||
020 |
_a9783319429373 _9978-3-319-42937-3 |
||
024 | 7 |
_a10.1007/978-3-319-42937-3 _2doi |
|
050 | 4 | _aNX260 | |
072 | 7 |
_aH _2bicssc |
|
072 | 7 |
_aUB _2bicssc |
|
072 | 7 |
_aCOM018000 _2bisacsh |
|
072 | 7 |
_aART000000 _2bisacsh |
|
082 | 0 | 4 |
_a004 _223 |
100 | 1 |
_aMazzola, Guerino. _eauthor. |
|
245 | 1 | 0 |
_aCool Math for Hot Music _h[electronic resource] : _bA First Introduction to Mathematics for Music Theorists / _cby Guerino Mazzola, Maria Mannone, Yan Pang. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
|
300 |
_aXV, 323 p. 179 illus., 112 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aComputational Music Science, _x1868-0305 |
|
505 | 0 | _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. | |
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. | ||
650 | 0 | _aComputer science. | |
650 | 0 | _aMusic. | |
650 | 0 |
_aComputer science _xMathematics. |
|
650 | 0 | _aArtificial intelligence. | |
650 | 0 | _aApplication software. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 | _aComputer Science. |
650 | 2 | 4 | _aComputer Appl. in Arts and Humanities. |
650 | 2 | 4 | _aMusic. |
650 | 2 | 4 | _aMathematics in Music. |
650 | 2 | 4 | _aMathematics of Computing. |
650 | 2 | 4 | _aArtificial Intelligence (incl. Robotics). |
700 | 1 |
_aMannone, Maria. _eauthor. |
|
700 | 1 |
_aPang, Yan. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319429359 |
830 | 0 |
_aComputational Music Science, _x1868-0305 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-42937-3 |
912 | _aZDB-2-SCS | ||
942 | _cEBK | ||
999 |
_c56679 _d56679 |