User:Cryptofu/Books/wip-mathforaudioengineers
 | The Wikimedia Foundation's book rendering service has been withdrawn. Please upload your Wikipedia book to one of the external rendering services. |
 | You can still create and edit a book design using the Book Creator and upload it to an external rendering service:
|
| This user book is a user-generated collection of Wikipedia articles that can be easily saved, rendered electronically, and ordered as a printed book. If you are the creator of this book and need help, see Help:Books (general tips) and WikiProject Wikipedia-Books (questions and assistance). Edit this book: Book Creator · Wikitext Order a printed copy from: PediaPress [ About ] [ Advanced ] [ FAQ ] [ Feedback ] [ Help ] [ WikiProject ] [ Recent Changes ] | ||||||||
Basic Mathematics and Topics for Audio Engineers
[edit]a work in progress
[edit]- Foundations of mathematics
- Mathematical logic
- Proof theory
- Gödel's incompleteness theorems
- Model theory
- Computability theory
- Naive set theory
- Category theory
- Topos
- Algebra
- Elementary algebra
- Abstract algebra
- Group theory
- Ring theory
- Field (mathematics)
- Commutative algebra
- Geometric algebra
- Linear algebra
- Matrix (mathematics)
- Multilinear algebra
- Universal algebra
- Fundamental theorem of algebra
- Mathematical analysis
- Calculus
- Fundamental theorem of calculus
- Vector calculus
- Geometric calculus
- Measure (mathematics)
- Real analysis
- Complex analysis
- Differential equation
- Ordinary differential equation
- Partial differential equation
- Integral equation
- Approximation theory
- Special functions
- Potential theory
- Harmonic analysis
- Fourier analysis
- Functional analysis
- Operator theory
- S transform
- Laplace transform
- Integral transform
- Fourier transform
- Pathological (mathematics)
- Distribution (mathematics)
- Holomorphic function
- Moment (mathematics)
- Convolution
- Z-transform
- Recurrence relation
- Diffusion equation
- Fourier series
- Mellin transform
- Probability density function
- Probability measure
- Dirac delta function
- Operational calculus
- Borel measure
- Lebesgue integration
- Locally integrable function
- Conditional convergence
- Improper integral
- Exponential type
- Two-sided Laplace transform
- Inverse Laplace transform
- Frequency
- Derivative
- Linearity
- Heaviside step function
- Periodic function
- Geometric series
- Integral
- Final value theorem
- Initial value theorem
- Pole (complex analysis)
- Partial fraction decomposition
- Nyquist–Shannon sampling theorem
- Continuous signal
- Discrete-time signal
- Sampling (signal processing)
- Interpolation
- Compressed sensing
- Bandlimiting
- Hertz
- Aliasing
- Nyquist rate
- Nyquist frequency
- Sinc function
- Step function
- Zero-order hold
- Rectangular function
- Digital-to-analog converter
- Poisson summation formula
- Periodic summation
- Discrete-time Fourier transform
- Low-pass filter
- Anti-aliasing filter
- Whittaker–Shannon interpolation formula
- Undersampling
- Dirac comb
- Multidimensional sampling
- Vector-valued function
- Moiré pattern
- Baseband
- Single-sideband modulation
- Signal (electrical engineering)
- Band-pass filter
- Sinc filter
- Nonuniform sampling
- Numerical stability
- Spectrum
- Necessity and sufficiency
- Convex optimization
- Duality (mathematics)
- Time–frequency analysis
- Balian–Low theorem
- Cheung–Marks theorem
- Shannon–Hartley theorem
- Nyquist ISI criterion
- Reconstruction from zero crossings