Bøger af Hüseyin Kocak

Phaser is a sophisticated program for IBM personal com-puters, developed atBrown University by the author and someof his students, which enables usersto experiment withdifferential and difference equations and dynamical systemsin an interactive environment using graphics. This bookbegins with a brief discussion of the geometric inter-pretation of differential equations and numerical methods,and proceeds to guide the student through the use of theprogram. To run Phaser, you need an IBM PC, XT, AT, or PS/2with an IBM Color GRaphics Board (CGB), Enhanced GraphicsAdapter (VGA). A math coprocessor is supported; however, oneis not required for Phaser to run on the above hardware.

Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations.

Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician.