Mathematics is the discipline that deals with concepts such as quantity, structure, space and change. It evolved, through the use of abstraction and logical reasoning, from counting, calculation, measurement and the study of the shapes and motions of physical objects. Mathematicians explore these and related concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.
Mathematics is used throughout the world in many fields, including science, engineering, medicine and economics. These fields both inspire and make use of new discoveries in mathematics. New mathematics is also created for its own sake, without any particular application in view, a common practice in the branch known as pure mathematics.
The word "mathematics" is often abbreviated math in the U.S. and Canada and maths in Britain, Ireland and many Commonwealth countries.
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Actuarial Science :: Insurance
Technical Analysis :: Research and Analysis
Economics :: Social Sciences

A Calculus of Risk - Article by Gary Stix.
A Study of Option Pricing Models - Kevin Rubash.
Balducci's Actuarial Home Page - Mainly links.
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Cambridge Econometrics - Econometrics Training Services - A flexible portfolio of econometrics training courses designed to meet the needs of business, government and academia.
Meta Description: [ Economic forecasting and Econometric modelling services for industry and goverment. UK Regional and Sectoral,
European Regional and Sectoral, and Energy and Environment forecasting ]
CQF Mathematical Finance Forum - A bulletin board dedicated to financial mathematics, mathematical finance, quantitative finance, and related fields including probability, statistics, econometrics, and optimisation.
Meta Description: [ Mathematical Finance Forum. ]
Derivatives Concepts A-Z - A glossary of derivatives-related terminology.
Devlin's Angle: A Nobel Formula - Article on the Black-Scholes theorem.
International Association of Financial Engineers - University Programs and Courses, mainly Masters-level, in Financial Mathematics and Financial Engineering.
Meta Description: [ The IAFE is the not-for-profit, professional society dedicated to fostering the profession of quantitative finance by providing platforms to discuss the cutting-edge and pivotal issues in the field. ]
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Introduction to Options - A course in 6 chapters jointly developed by the International Finance and Commodities Institute (IFCI) and Axone Services et Developpement SA.
Journal of Finance: Other Finance Related Sites - Web links for those interested in understanding and teaching financial ideas.
Libor Market Model : A New Approach - A two-factor model using recombining binomial tree. Training, consultancy and resources.
Meta Description: [ libor market model, a new approach to the industry standard interest rate model. A two-factor model using recombining binomial tree, it builds a process for LIBOR interest rates, assuming a conditional lognormal process for LIBOR. Price bermudan swaptions. ]
Liebl Method To Solve Financial Mathematics Problems - Detailed lesson with worked examples.
Numerical Pricing of Derivative Claims - Path Integral Monte Carlo Approach. Miloje S. Makivic.
Sidebar on Black-Scholes for Risk Management - Working paper by Philip H. Dybvig and William J. Marshall.
Society for Nonlinear Dynamics and Econometrics - The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective.
Software for EMM (Efficient Method of Moments) - Code and User's Guide for EMM are freely available. Posted versions contain worked examples for estimation of continuous time stochastic differential equations for the short-term interest rate and stock prices.
Stock Options - Animated Tutorial and Analytics - An animated introduction to the Black--Scholes theorem. Includes graphs.
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