To analyze cryptocurrency projects using mathematics, start by evaluating key metrics like market capitalization, trading volume, and token supply, which provide insights into a project's scale and liquidity. Apply statistical models, such as regression analysis, to predict price trends based on historical data. Use probability theory to assess risks, calculating volatility and potential returns via standard deviation and Sharpe ratios. Game theory can model investor behavior and network incentives, revealing the project's economic stability. For blockchain-specific analysis, examine hash rates or staking participation using differential equations to gauge network security and growth. Finally, leverage data visualization tools to identify patterns and correlations. By combining these mathematical approaches, you can objectively assess a cryptocurrency project's potential, risks, and long-term viability, making informed investment decisions.