Mathematics for Business and Finance

- Business Mathematics

Business mathematics is the mathematics used by business enterprises to record and manage business operations. Business organizations use mathematics in accounting, inventory management, marketing, sales forecasting, and financial analysis. 

Business mathematics is a branch of mathematics that is used in business and commerce. It includes the study of financial mathematics, actuarial science, and business statistics. 

Some types of math used in business include: Geometry, Probability, Calculus, Arithmetic, Algebra, Statistics. 

These different types of math help business owners and operators understand different concepts and solve different types of problems. 

For some management problems, more advanced mathematics may be applied. This includes: Calculus, Matrix algebra, Linear programming. 

- Mathematical Finance

Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics that focuses on the mathematical modeling of financial markets. 

Generally speaking, there are two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. 

Mathematical finance overlaps considerably with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often with the help of stochastic asset models, while the former focuses on building implementation tools for models in addition to analysis. Also relevant is quantitative investing, which relies on statistical and numerical models (and more recently machine learning) rather than traditional fundamental analysis when managing portfolios.  

• Algorithmic trading 
• Behavioral finance
• Commodity markets
• Computational finance
• Credit risk
• Intelligent and automated Asset management
• Insurance mathematics
• Market microstructure
• Market liquidity and frictions
• Mean field games
• Model Risk and Uncertainty
• Optimal stopping
• Optimal transport
• Option pricing and hedging
• Risk measures
• Robust finance
• Stochastic control
• Stochastic games
• Stochastic volatility
• Systemic risk
• Stochastic modeling of epidemics

[Amsterdam, Netherlands - Civil Engineering Discoveries]

- Computational Mathematics

Computational mathematics involves the study of mathematics in the fields of mathematics and science, where computation plays a central and important role, and emphasizes algorithms, numerical methods, and symbolic computation. 

Computational applied mathematics broadly includes the use of mathematics in applied mathematics to allow and improve computer computation. Computational mathematics can also refer to the use of computers for mathematics itself. 

This includes using computers to perform mathematical calculations (computer algebra), studying what in mathematics can (and cannot) be computerized (efficient methods), which calculations can be done with existing technology (complexity theory), and which proofs can be done on a computer (Proof Assistant). 

[More to come ...]