Muusikamatemaatika: erinevus redaktsioonide vahel

Eemaldatud sisu Lisatud sisu
7. rida:
==Kirjandus==
 
===Garet Loy. Musimatics. Vol I and II. ===
http://www.musimathics.com/
:Sisukord:
::Volume I
176. rida ⟶ 177. rida:
 
::Volume II
:::Foreword by John Chowning
:::Preface
:::1 Digital Signals and Sampling
:::1.1 Measuring the Ephemeral
:::1.2 Analog-to-digital Conversion
:::1.3 Aliasing
:::1.4 Digital-to-analog Conversion
:::1.5 Binary Numbers
:::1.6 Synchronization
:::1.7 Discretization
:::1.8 Precision and Accuracy
:::1.9 Quantization
:::1.10 Noise and Distortion
:::1.11 Information Density of Digital Audio
:::1.12 Codecs
:::1.13 Further Refinements
:::1.14 Cultural Impact of Digital Audio
:::1.15 Summary
:::2 Musical Signals
:::2.1 Why Imaginary Numbers?
:::2.2 Operating with Imaginary Numbers
:::2.3 Complex Numbers
:::2.4 de Moivre's Theorem
:::2.5 Euler's Formula
:::2.6 Phasors
:::2.7 Graphing Complex Signals
:::2.8 Spectra of Complex Sampled Signals
:::2.9 Multiplying Phasors
:::2.10 Graphing Complex Spectra
:::2.11 Analytic Signals
:::2.12 Summary
:::3 Spectral Analysis and Synthesis
:::3.1 Introduction to the Fourier Transform
:::3.2 Discrete Fourier Transform
:::3.3 The DFT in Action
:::3.4 The Inverse Discrete Fourier Transform
:::3.5 Analyzing Real-world Signals
:::3.6 Windowing
:::3.7 Fast Fourier Transform
:::3.8 Properties of the Discrete Fourier Transform
:::3.9 A Practical Hilbert Transform
:::3.10 Summary
:::4 Convolution
:::4.1 The Rolling Shutter Camera
:::4.2 Defining Convolution
:::4.3 Numerical Examples of Convolution
:::4.4 Convolving Spectra
:::4.5 Convolving Signals
:::4.6 Convolution and the Fourier Transform
:::4.7 Using the FFT for Convolution
:::4.8 The Domain Symmetry between Signals and Spectra
:::4.9 Convolution and Sampling Theory
:::4.10 Convolution and Windowing
:::4.11 Correlation Functions
:::4.12 Summary
:::4.13 Suggested Reading
:::5 Filtering
:::5.1 Tape Recorder as a Model of Filtering
:::5.2 Introduction to Filtering
:::5.3 A Simple Filter
:::5.4 Finding the Frequency Response
:::5.5 Linearity and Time Invariance of Filters
:::5.6 FIR Filters
:::5.7 IIR Filters
:::5.8 Canonical Filter
:::5.9 Time-Domain Behavior of Filters
:::5.10 Filtering as Convolution
:::5.11 The Z Transform
:::5.12 The Z Transform of the General Difference Equation
:::5.13 Filter Families
:::5.14 Summary
:::6 Resonance
:::6.1 The Derivative
:::6.2 Differential Equations
:::6.3 Transient Vibrations
:::6.4 Mathematics of Resonance
:::6.5 Summary
:::7 Wave Equation
:::7.1 One-dimensional Wave Equation and String Motion
:::7.2 An Example
:::7.3 Modeling Vibration with Finite Difference Equations
:::7.4 Striking Points, Plucking Points, and Spectra
:::7.5 Summary
:::8 Acoustical Systems
:::8.1 Dissipation and Radiation
:::8.2 Acoustical Current
:::8.3 Linearity of Frictional Force
:::8.4 Inertance, Inductive Reactance
:::8.5 Compliance, Capacitive Reactance
:::8.6 Reactance and Alternating Current
:::8.7 Capacitive Reactance and Frequency
:::8.8 Inductive Reactance and Frequency
:::8.9 Combining Resistance, Reactance and Alternating Current
:::8.10 Resistance and Alternating Current
:::8.11 Capacitance and alternating current
:::8.12 Acoustical Impedance
:::8.13 Sound Propagation and Sound Transmission
:::8.14 Input Impedance: Fingerprinting a Resonant System
:::8.15 Scattering Junctions
:::8.16 Summary
:::8.17 Suggested Reading
:::9 Sound Synthesis
:::9.1 Forms of Synthesis
:::9.2 A Graphical Patch Language for Synthesis
:::9.3 Amplitude Modulation
:::9.4 Frequency Modulation
:::9.5 Vocal Synthesis
:::9.6 Synthesizing Concert Hall Acoustics
:::9.7 Physical Modeling
:::9.8 Source Models and Receiver Models
:::9.9 Summary
:::10 Dynamic Spectra
:::10.1 Gabor's Elementary Signal
:::10.2 The Short-time Fourier Transform
:::10.3 Phase Vocoder
:::10.4 Improving on the Fourier Transform
:::10.5 Summary
:::10.6 Suggested Reading
:::10.7 Foundations
:::11 Epilogue
:::Appendix
:::A.1 About Algebra
:::A.2 About Trigonometry
:::A.3 Series and Summations
:::A.4 Trigonometric Identities
:::A.5 Modulo Arithmetic And Congruence
:::A.6 Finite Difference Approximations
:::A.7 Walsh-Hadamard Transform
:::A.8 Sampling, Reconstruction, and the Sinc Function
:::A.9 Fourier Shift Theorem
:::A.10 Spectral Effects of Ring Modulation
:::Glossary
:::Equation Index
:::Subject Index
 
 
===Dave Benson. Music, a mathematical offering===
 
Dave Benson. Music, a mathematical offering.
 
===John Fauvel, Raymond Floods, Robin Wilson (ed.). Music and Mathematics. From Pythagoras to Fractals. ===
http://www.ester.ee/record=b2448376*est
 
:Sisukord:
::Part I: Music and mathematis through histroy
189. rida ⟶ 326. rida:
 
 
===Leon Harkleroad. The Math behind the Music. ===
http://www.ester.ee/record=b2198763*est
 
:Sisukord:
::1 Mathematics and Music, a Duet
202. rida ⟶ 341. rida:
Raammatu lisa: näidete CD
 
===David Wright. Mathematics and Music. ===
http://www.ester.ee/record=b2749919*est
 
:Sisukord:
::1 Basic Mathematical and Musical Concepts