Mathematics and the real world. The remarkable role of evolution in the making of mathematics. Transl. from the Hebrew by Alan Hercberg (Q2877919)

The book tells how the mathematics developed from the ancient Greece till today. The connections of mathematics and the real world (physical and social one) are considered. Some of the contemporary applications of mathematics -- in probability theory, in the study of human behavior, in combination with computers -- are described and the value and impact of this discipline in our daily life is shown. The problem of the extent of the effect of the evolution of the human race on the development of mathematics and its applications is also discussed. Among other topics considered in the book one finds the discussion of why mathematics is so frustrating for most people. It is argued that the rigorous logical structure of mathematics goes against of our predisposed ways of thinking as shaped by evolution. Ways to overcome those difficulties in teaching of mathematics are offered. The book is written in a nice way avoiding technicalities. No background in mathematics is required to understand it. It will be equally enjoyable for a scientist as well as for a lay reader. The latter will gain a view of what mathematics is all about and how it has attained its present state, and the former will have an opportunity to consider some important philosophical and historical issues connected with mathematics.