Differential Geometry, Field Theory and Operations Research

The book comprises of 7 expository articles of different nature. The first one “Metrics of curved surfaces and spaces” deals with various possibilities of formulaefor measurement of distance between two infinitesimal points in different geometrical models especially Finslerian structures and their generalizations. “Differen- tial geometry: its past and future” describes briefly the development of the subject. Various techniques used therein are given. References, some standard books on “Finsler geometry and its applications” and recent “International conferences on Finsler geometry” held are also listed. “Physical field theories” characterizes Finslerian physics and Thermodynamic Finsler spaces. The smallest number which, on division by a, a + md, a + 2md leaves the remainders r, r + d, r + 2d respectively; where a, m, r and d are positive integers is discussed in the article on “Some properties of numbers”. “Mathematics and computer science education in developing countries” and “Operations research” offer exposition of the subjects as indicated. Major events in the life of Professor Albert Einstein are presented in chronological order in the last article.