As such, it can be applied in many different fields of study:

- In philosophy:
- In mathematics:
- mathematical analysis
- real analysis - real numbers
- complex analysis - holomorphic functions
- functional analysis - study of spaces of functions
- non-standard analysis - hyperreal numbers
- harmonic analysis - Fourier series

- numerical analysis
- statistical analysis

- mathematical analysis
- In computing:
- In music:
- In psychotherapy:
- In cryptography:
- cryptanalysis - the decoding of ciphers
- frequency analysis

- In economics:
- fundamentals analysis
- technical analysis - used in predicting stock market trends

- In language studies:
- In signal processing:

- system analysis - in electrical engineering
- systems analysis - study of large systems
- lithic analysis - study of stone tools, in archaeology
- isotope analysis in archaeology and paleontology
- aura analysis - study of bodily auras and energy fields
- dimensional analysis - in physics and engineering
- neutron activation analysis - in chemistry
- life cycle cost analysis