The mind of Albert Einstein bulged at the seams not only with mathematics and physics but also with an insatiable curiosity about life itself. His wide-ranging observations and opinions about the nature of life and the world--not to mention the life and world of nature--are rich in insight, wit, and wisdom. His vision also us a unique opportunity to see ourselves. His thoughts are treasures in small packages; taken as a whole, they offer images and ideas of what we are and what it is possible to be.
In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics – from functions in one and two variables to practical geometry to space curves and surfaces – underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.