This book studies the actual financial phenomena underlying the evaluation of financial derivatives, which is today virtually identified with and even replaced by the study of the mathematical aspects of stochastic calculus as a model for such phenomena. It adopts the view that the study of financial phenomena is on the brink of a revolution similar to that of quantum physics in the 1920s. History has shown that virtually all the major revolutions in physics were made through recognizing the presence of an inherent symmetry in underlying phenomena.
In this volume, a fundamental symmetry in...
This book studies the actual financial phenomena underlying the evaluation of financial derivatives, which is today virtually identified with and even...
Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audience.
Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audien...
The first systematic methods of Fourier analysis date from the early eighteenth century with the work of Joseph Fourier on the problem of the flow of heat. (A brief history is contained in the first paper.) Given the initial tempera ture at all points of a region, the problem was to determine the changes in the temperature distribution over time. Understanding and predicting these changes was important in such areas as the handling of metals and the determination of geological and atmospheric temperatures. Briefly, Fourier noticed that the solution of the heat diffusion problem was simple if...
The first systematic methods of Fourier analysis date from the early eighteenth century with the work of Joseph Fourier on the problem of the flow of ...