Mathematics
Revision as of 19:10, 10 June 2020 by Adelo Vieira (talk | contribs)
Mathematics includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). It has no generally accepted definition. https://en.wikipedia.org/wiki/Mathematics#cite_note-Mura-7
- Number theory (or arithmetic) https://en.wikipedia.org/wiki/Number_theory
- Mathematical analysis https://en.wikipedia.org/wiki/Mathematical_analysis
- Analytic geometry https://en.wikipedia.org/wiki/Analytic_geometry
- Infinitesimal calculus https://en.wikipedia.org/wiki/Calculus
- Fundamental theorem of calculus https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus
- One of the applications of Mathematical analysis (Calculus in particular) is for Signal processing
- Discrete mathematics https://en.wikipedia.org/wiki/Discrete_mathematics
- Numerical analysis https://en.wikipedia.org/wiki/Numerical_analysis
- Computer algebra https://en.wikipedia.org/wiki/Computer_algebra
- Applications:
- Signal processing:
- One of the applications of Mathematical analysis (Calculus in particular) is for Signal processing.
- When processing signals, such as audio, radio waves, light waves, seismic waves, and even images, Fourier analysis can isolate individual components of a compound waveform, concentrating them for easier detection or removal. A large family of signal processing techniques consists of Fourier-transforming a signal, manipulating the Fourier-transformed data in a simple way, and reversing the transformation. https://en.wikipedia.org/wiki/Mathematical_analysis#Signal_processing
- Time–frequency analysis https://en.wikipedia.org/wiki/Time%E2%80%93frequency_analysis
- Seismic processing