Mathematics has long been an indispensable tool in the Physical and Social Sciences. More recently, sophisticated mathematics has proven its worth in business and finance. In particular, Mathematical Modeling and Mathematics of Finance are two of the most important topics of current research in Industrial and Applied Mathematics. We have expertise that may be useful to you. Contact us and then decide whether mathematical methods can boost your business.

General usefulness of Math

1. Clarity
   Math clarifies the relationships between different parts of the system by expressing these relationships in a concise mathematical form. The result is a better understanding of the structure of the system and how it works.
2. Flexibility
   Every model is based on some assumptions and contains some parameters. These can be altered to upgrade the model or to accommodate changed conditions. Uncertainties can be modeled by incorporating random elements.
3. Precision
   A deterministic model will produce precise results. Even if your subject area is affected by uncertainties, probability theory, mathematical statistics, or theory and statistics of random processes or fields can reveal trends and relationships that are obscured by the scatter of the data.
4. Testability and predictability
   The clear and unambiguous form of mathematical models enhances their testability and reliability and makes it possible to predict their results.

Ready-to-implement mathematical methods

• Linear and non-linear regression;
• ANOVA and its modifications;
• Design of experiments;
• Factor analysis;
• Time series modeling and forecasting (ARIMA, multivariate time series);
• Kalman filtering;
• Monte-Carlo simulation;
• Different topics of statistics of random processes and fields;
• Actuarial models (life and non-life insurance etc.);
• Models of financial mathematics (including CAPM, Black-Scholes-Merton model etc.)