Ideas of Quantum Chemistry P91 shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field. | 866 15. Information Processing - the Mission of Chemistry Wacfaw Sierpinski 1882-1969 Polish mathematician from 1910 professor at the Jan Casimir University in Lwow and from 1918 at the University of Warsaw. One of the founders of the famous Polish school of mathematics. His most important achievements are related to set the- ory number theory theory of there is the carpet in ques-real functions and topology tion . Benoit Mandelbrot French mathematician born in 1924 in Warsaw first worked at the Centre National de la Recherche Scientifique in Paris then at the Université de Lille from 1974 an employee of the IBM Research Center in New York. When playing with a computer Mandelbrot discovered the world of fractals. The self-similarity of this mathematical object when we decide to use more and more magnifying glasses is evident. On the other hand it is striking that fractals of fantastic complexity and shape may be constructed in an amazingly simple way by using the dynamics of the iteration processes described on p. 858. Let us take for example the following operation defined on the complex plane let us choose a complex number C and then let us carry out the iterations zn 1 z2 C for n 0 1 2 3 . starting from z0 0. The point C will be counted as belonging to what is called the Mandelbrot set if the points zn do not exceed a circle of radius 1. The points of the Mandelbrot set will be denoted by black the other points will be coloured depending on the velocity at which they flee the circle. Could anybody ever think that we would get the incredibly rich pattern shown in Fig. CHEMICAL FEEDBACK - NON-LINEAR CHEMICAL DYNAMICS Could we construct chemical feedback What for Those who have ever seen feedback working know the answer27 - this is the very basis of control. Such control of chemical concentrations is at the heart of how biological systems operate. The first idea is to prepare such a system in which an increase in the concentration of species X triggers
