In mathematics, non-classical analysis is any system of analysis, other than classical real analysis, and complex, vector, tensor, etc., analysis based upon it.

Such systems include:

• non-standard analysis
• p-adic analysis
• constructivist analysis (analysis built upon a foundation of constructivist, rather than classical, logic and set theory)
• paraconsistent analysis (analysis built upon a foundation of paraconsistent, rather than classical, logic and set theory)