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1.

電子ブック

EB
Guerino Mazzola, Gérard Milmeister, Gérard Milmeister, Jody Weissmann
出版情報: Springer eBooks Computer Science , Springer Berlin Heidelberg, 2005
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Topology and Calculus: Limits and Topology / III:
Differentiability
Inverse and Implicit Fuctions
Integration
Fubini and Changing Variables
Vector Field
Fixpoints
Main Theorem of ODEs
Topology and Calculus: Limits and Topology / III:
Differentiability
Inverse and Implicit Fuctions
2.

電子ブック

EB
Guerino Mazzola, Gérard Milmeister, Gérard Milmeister, Jody Weissmann
出版情報: Springer eBooks Computer Science , Springer Berlin Heidelberg, 2006
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目次情報: 続きを見る
Sets, Numbers, and Graphs / I:
Fundamentals-Concepts and Logic / 1:
Propositional Logic / 1.1:
Architecture of Concepts / 1.2:
Axiomatic Set Theory / 2:
The Axioms / 2.1:
Basic Concepts and Results / 2.2:
Boolean Set Algebra / 3:
The Boolean Algebra of Subsets / 3.1:
Functions and Relations / 4:
Graphs and Functions / 4.1:
Relations / 4.2:
Ordinal and Natural Numbers / 5:
Ordinal Numbers / 5.1:
Natural Numbers / 5.2:
Recursion Theorem and Universal Properties / 6:
Recursion Theorem / 6.1:
Universal Properties / 6.2:
Universal Properties in Relational Database Theory / 6.3:
Natural Arithmetic / 7:
Natural Operations / 7.1:
Euclid and the Normal Forms / 7.2:
Infinities / 8:
The Diagonalization Procedure / 8.1:
The Classical Number Domains ${\op Z}, {\op Q}, {\op R}$ and ${\op C}$ / 9:
Integers ${\op Z}[$ / 9.1:
Rationals ${\op Q}$ / 9.2:
Real Numbers ${\op R}$ / 9.3:
Complex Numbers ${\op C}$ / 9.4:
Categories of Graphs / 10:
Directed and Undirected Graphs / 10.1:
Morphisms of Digraphs and Graphs / 10.2:
Cycles / 10.3:
Construction of Graphs / 11:
Some Special Graphs / 12:
n-ary Trees / 12.1:
Moore Graphs / 12.2:
Planarity / 13:
Euler's Formula for Polyhedra / 13.1:
Kuratowski's Planarity Theorem / 13.2:
First Advanced Topic / 14:
Floating Point Arithmetic / 14.1:
Example for an Addition / 14.2:
Algebra, Formal Logic, and Linear Geometry / II:
Monoids, Groups, Rings, and Fields / 15:
Monoids / 15.1:
Groups / 15.2:
Rings / 15.3:
Fields / 15.4:
Primes / 16:
Prime Factorization / 16.1:
Roots of Polynomials and Interpolation / 16.2:
Formal Propositional Logic / 17:
Syntactics: The Language of Formal Propositional Logic / 17.1:
Semantics: Logical Algebras / 17.2:
Signification: Valuations / 17.3:
Axiomatics / 17.4:
Formal Predicate Logic / 18:
Syntactics: First-order Language / 18.1:
Semantics: S-Structures / 18.2:
Signification: Models / 18.3:
Languages, Grammars, and Automata / 19:
Languages / 19.1:
Grammars / 19.2:
Automata and Acceptors / 19.3:
Categories of Matrixes / 20:
What Matrixes Are / 20.1:
Standard Operations on Matrixes / 20.2:
Square Matrixes and their Determinant / 20.3:
Modules and Vector Spaces / 21:
Linear Dependence, Bases, and Dimension / 22:
Bases in Vector Spaces / 22.1:
Equations / 22.2:
Affine Homomorphisms / 22.3:
Algorithms in Linear Algebra / 23:
Gauss Elimination / 23.1:
The LUP Decomposition / 23.2:
Linear Geometry / 24:
Euclidean Vector Spaces / 24.1:
Trigonometric Functions from Two-Dimensional Rotations / 24.2:
Gram's Determinant and the Schwarz Inequality / 24.3:
Eigenvalues, the Vector Product, and Quaternions / 25:
Eigenvalues and Rotations / 25.1:
The Vector Product / 25.2:
Quaternions / 25.3:
Second Advanced Topic / 26:
Galois Fields / 26.1:
The Reed-Solomon (RS) Error Correction Code / 26.2:
The Rivest-Shamir-Adelman (RSA) Encryption Algorithm / 26.3:
Further Reading / A:
Index
Sets, Numbers, and Graphs / I:
Fundamentals-Concepts and Logic / 1:
Propositional Logic / 1.1:
3.

電子ブック

EB
Guerino Mazzola, Moreno Andreatta, P. B. Cherlin, Paul B. Cherlin, Heinz Geisser, Tetrade (Musical group)
出版情報: Springer eBooks Computer Science , Springer Berlin Heidelberg, 2009
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Getting off Ground / Part I:
What Is Free Jazz? / 1:
The Social, and Political, and Musical Origins of the Movement / 1.1:
A Provisional Positive Characterization / 1.2:
Jazz in Transition / 2:
Archie Shepp in Donaueschingen / 2.1:
John Coltrane's A Love Supreme / 2.2:
Cecil Taylor and Buell Neidlinger / 2.3:
Bill Evans: Gestural Dialogs / 2.4:
The Landscape of Free Jazz / Part II:
Out of this World / 3:
Sun Ra: An Extraterrestrial Romantic / 3.1:
Coltrane's Om / 3.2:
Mythologies of The Art Ensemble of Chicago / 3.3:
The Art of Collaboration / 4:
A Short Overview of the Classical Ontological Landscape of Music / 4.1:
The Oniontological Extension to The Fourth Dimension / 4.2:
What Is The Art of Collaboration? / 4.3:
Collaborative Spaces in Free Jazz / Part III:
Which Collaboratories? / 5:
Ornette Coleman's Melodic Spaces in Free Jazz / 5.1:
John Coltrane's Harmonic Spaces in Ascension / 5.2:
The Innards of Time / 6:
Cecil Taylor: Unit Structures / 6.1:
Trance Spaces: Archie Shepp's The Magic of Ju-Ju / 6.2:
Dervish Dances: Albert Ayler's Love Cry / 6.3:
Gestural Creativity / Part IV:
From Philosophy to Thought Experiments / 7:
Philosophy, Performance, Music Theory / 7.1:
The French Approach to Gestures / 7.2:
Châtelet's Gestural Thought Experiments / 7.3:
Geometry of Gestures / 8:
Gestures Are Diagrams of Curves / 8.1:
Definition of Gestures and Hypergestures / 8.2:
Hypergestures, Cognitive Science, and Cavaillès / 8.3:
The Escher Theorem and Gestural Creativity / 9:
The Escher Theorem / 9.1:
Group Creativity and Categories of Hypergestures / 9.2:
Rebecca Lazier's Vanish: Lawvere, Escher, Schoenberg / 9.3:
Musical Poetology / 9.4:
What Group Flow Generates / Part V:
What Is Flow? / 10:
Mihaly Csikszentmihalyi's Flow Concept / 10.1:
Keith Sawyer's Group Flow / 10.2:
Miles Davis' Bitehes Brew / 10.3:
Gestures in Geisser's and Mazzola's Chronotomy / 10.4:
What Does Group Flow Produce? / 10.5:
The Symbolic Axis of Distributed Identity / 11:
Groups from Gestures / 11.1:
The Fourier Ballet / 11.2:
Passion / 11.3:
Archie Shepp's Coral Rock / 11.4:
Epilogue / Part VI:
From Pre- to Postproduction: The Infinite Listening / 12:
Global Strategies for Free Jazz / 13:
The Future of Free Jazz / 14:
References
Getting off Ground / Part I:
What Is Free Jazz? / 1:
The Social, and Political, and Musical Origins of the Movement / 1.1:
4.

電子ブック

EB
Guerino Mazzola
出版情報: Springer eBooks Computer Science , Springer Berlin Heidelberg, 2011
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目次情報: 続きを見る
Introduction / Part I:
Introduction and Overview / 1:
List of Symbols / 2:
Short History of Performance Theory / 3:
The Philosophical Tradition / 3.1:
The Empirical Tradition / 3.2:
Oniontology / 4:
Realities / 4.1:
Communication / 4.2:
Semiotics / 4.3:
Embodiment / 4.4:
The Baboushka Principle / 4.5:
Topography of Performance / 4.6:
Semiotic Expressivity / 4.7:
Rhetorical Expressivity / 4.8:
CSI Anatomy / 4.9:
ISC Anatomy / 4.10:
Multi-agent Communication / 4.11:
The Performer's Balanced Dancing Presence / 4.12:
Structure Theory / Part II:
What Is Structure Theory? / 5:
Tempo Curves / 6:
What is Tempo? / 6.1:
Some Remarks on the History and Ethnography of Tempo / 6.1.1:
Calcuating Time from Tempo / 6.2:
Tuning, Intonation, and Dynamics / 7:
Tuning and Intonation / 7.1:
Dynamics / 7.2:
Combining Tempo, Tuning, and Dynamics / 8:
Articulation / 9:
General Performance Fields / 10:
Initial Sets / 10.1:
Measuring Performance Fields / 10.3:
The Category of Performance Cells and Hierarchies / 11:
Expressive Theory / Part III:
What Is Expressive Theory? / 12:
Experiments in Expressive Performance / 12.1:
Emotional Expression / 13:
What is Emotion? / 13.1:
Some Physiological Evidences / 13.2:
Manfred Clynes' Essentic Forms / 13.3:
Reinhard Kopiez' and Jörg Langner's Theory of Oscillating Systems / 13.4:
Anders Friberg's Feature-based Model / 13.5:
Alf Gabrielsson's Isomorphism / 13.6:
Gestural Expression / 14:
General Facts About Gesture Theory in Music / 14.1:
Roger Sessions: Gestures in Performance / 14.2:
Theodor Wiesengrund Adorno's Gesture Theory in Musical Reproduction / 14.3:
Renate Wieland's Gestural Piano Pedagogy / 14.4:
Manfred Clynes' Essentics as a Theory of Gestural Expressivity / 14.5:
Johan Sundberg, Neil P. McAgnus Todd: Mechanical Models of Gestures in Music / 14.6:
Guerino Mazzola and Stefan Müller: Modeling the Pianist's Hand / 14.7:
Modeling the Hand / 14.7.1:
Transforming Abstract Note Symbols into Symbolic Gestures / 14.7.2:
Deforming Symbolic Hand Gestures into Physically Valid Curves / 14.7.3:
A Mathematical Gesture Theory / 14.8:
Anders Friberg, Antoni Camurri et al.: Computer-aided Emotional Analysis of Performance / 14.9:
Analytical Expression / 15:
Adorno's Analytical Performance Study of Webern's First Bagatelle / 15.1:
Anders Friberg, Johan Sundberg, and Lars Frydén: Director Musices Performance Software / 15.2:
Guerino Mazzola and Oliver Zahorka: The Rubato Theory of Analytical Performance / 15.3:
Analytical Weights / 16:
Metrical Weights / 16.1:
Melodic Weights / 16.2:
Harmonic Weights / 16.3:
Primavista Weights / 16.4:
Shaping Operators / 17:
Are Lie Type Operators Universal? / 17.1:
Two Generic Models and the Challenge of Improvisation / 18:
The GERM Model / 18.1:
Todd's Generic Approach / 18.2:
The Challenge of Improvisation / 18.3:
Expansion of Improvisational Time-Spaces / 18.3.1:
The Analysis / 18.3.2:
String Quartet Theory / 19:
Historical and Theoretical Prerequisites / 19.1:
The General Plan / 19.2:
General Position for Performance: Four Examples / 19.2.1:
The Sound Space of the Violin Family / 19.3:
Notes in General Position / 19.4:
Performance of the String Quartet / 19.5:
Rubato: Model and Software / Part IV:
Performance Scores / 20:
Stemma Theory / 21:
Tempo Hierarchies in the presto® Software / 21.1:
The General Stemma Concept / 21.2:
The New Performance Rubette: Realtime, Openness, and Gesturality / 21.3:
Case Studies / 22:
Schumann's Träumerei: The First Performance Experiment with RUBATO® / 22.1:
Schumann's Kuriose Geschichte / 22.2:
Bach's Kunst der Fuge / 22.3:
Rhythmical Analysis / 22.3.1:
Motif Analysis / 22.3.2:
Target-driven vs. Experimental Stemma Constructions / 22.3.3:
Performance Setup / 22.3.4:
Construction of Third Performance Parcours / 22.3.5:
Final Discussion / 22.3.6:
Statistics / 23:
Hierarchical Decomposition of Weights / 23.1:
Inverse Performance / Part V:
What Is Inverse Performance Theory? / 24:
Technical Aspects / 24.1:
Reconstruction of the Performance Map from Recording Data / 24.1.1:
Reconstruction of the Stemma from the Performance Map / 24.1.2:
The Technical Setup / 25:
Schumann's Träumerei: Argerich vs. Horowitz / 26:
Rethinking Music Critique / 27:
Boiling Down Infinity / 27.1:
Glenn Gould's Politically Incorrect Performance / 27.2:
Epilogue / Part VI:
Summary of Performance Theory / 28:
Future Developments / 29:
References, Music Examples, Index / Part VII:
References
Music Examples
Index
Introduction / Part I:
Introduction and Overview / 1:
List of Symbols / 2:
5.

電子ブック

EB
Guerino Mazzola, Joomi Park, Florian Thalmann
出版情報: Springer eBooks Computer Science , Springer Berlin Heidelberg, 2011
所蔵情報: loading…
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