Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. [1]

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization.Optimization problems of sorts arise in all quantitative disciplines from computer …

Finance is the study and discipline of money, currency and capital assets.It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of financial economics bridges the two). Finance activities take place in financial systems at various scopes, thus the field can be roughly …

Wharton Finance Knowledge Project – finance knowledge for students, teachers, and self-learners. Prof. Aswath Damodaran - financial theory, with a focus in Corporate Finance, Valuation and Investments. Updated Data, Excel Spreadsheets. Web Sites for Discerning Finance Students (Prof. John M. Wachowicz) -Links to finance web sites, grouped by ...

Quantitative analysis is the use of mathematical and statistical methods in finance and investment management.Those working in the field are quantitative analysts (quants).Quants tend to specialize in specific areas which may include derivative structuring or pricing, risk management, algorithmic trading and investment management.The occupation is similar to …

Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical analysis , linear algebra , stochastic analysis , differential equations , and measure theory .

Ancient. Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implicitly present in the early days of ancient Greek mathematics.For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy.

The Department of Mathematics at Courant occupies a leading position in analysis and applied mathematics, including partial differential equations, differential geometry, dynamical systems, probability and stochastic processes, scientific computation, mathematical finance, mathematical physics, and fluid dynamics.A special feature of the institute is its highly …

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.. The modern study of set theory was initiated by the German …

Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (including the design and implementation of hardware and software). Computer science is generally considered an area of academic research and …