The Basics of Financial Mathematics
by Richard F. Bass
Number of pages: 106
These are lecture notes on mathematical finance. Mathematical finance is not about predicting the price of a stock. What it is about is figuring out the price of options and derivatives. The sections of these notes can be grouped into five categories: elementary probability, the binomial asset pricing model, advanced probability, the continuous model, and term structure models.
Download or read it online for free here:
by Simon A. Levin
This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.
by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by James Nearing - Dover Publications
Infinite series, complex algebra, differential equations, Fourier series, vector spaces, operators and matrices, multivariable calculus, vector calculus, partial differential equations, numerical analysis, tensors, complex variables, and more.
by Stefan Grosskinsky - University of Warwick
Interacting particle systems (IPS) are models for complex phenomena involving a large number of interrelated components. Examples exist within all areas of natural and social sciences, such as traffic flow on highways, constituents of a cell, etc.