The financial industry increasingly relies on large volumes of numerical data as financial products become more complex. As a result, analysts and financial engineers have turned to computational ...

Learn mathematical and statistical principles for financial decisions and investments. Prepare for careers in finance, accounting and many other areas. The business world is increasingly dominated by ...

Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

Debbie Morgan smiles with pride when a previously underperforming British student gives a correct answer in class after learning math the Shanghai way. "Shanghai math embodies a belief that every ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

AWAY to solve linear differential equations by operational methods which avoid the introduction of arbitrary constants by taking direct account of the initial conditions was invented by Oliver ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Mathematics of Computation, Vol. 79, No. 272 (OCTOBER 2010), pp. 2001-2032 (32 pages) We derive in this paper a unified framework for a priori and a posteriori error ...

Debbie Morgan smiles with pride after a previously underperforming British student gives a correct answer in class after learning math the Shanghai way. "Shanghai maths embodies a belief that every ...