Mathematical Physics and Mathematics

This area is divided into Analysis, Maps and Programming


These articles began to discuss a few interesting problems, but now that they have multiplied considerably, I notice that they pretty well cover mathematics from arithmetic through differential equations, and beyond, at a university level. However, in the present form they are not a proper textbook, since exercises are lacking, and they are not logically arranged, but just in a heap. Exercises can be found in the References, however, so these pages can make a valuable supplement. Many subjects are included that are not normally found in the usual course. Cultural and historical notes are also frequent.



Recently, I realized I had not used some old programming tools for a long while, and became interested in reviewing these packages and seeing if I could get them to work on Windows 98. All, in fact, did work, and very well indeed. In each case, the preparation of a program to display "Hello, world!" on the screen is included. The difficulty of doing this ranges from FORTH, in which it can be done in seconds, to the preparation of a Windows program with C++, requiring an absurd amount of overhead and complication (it is simpler in C-Windows, where only two routines are necessary). This tedious exercise is not treated here. In Pascal and FORTRAN, as well as in C-DOS, it is on the simple end of the scale. I would like to include ALGOL-60 and COBOL for added variety, but I do not have platforms available. It is a shame that Windows has rendered PC programming inaccessible to so many; DOS is a much better platform for small programs, especially in science and engineering, and for laboratory use. Although the modern practical applications of computer programming are boring in the extreme, and repellent to the intelligent, it is still a fascinating game for us!

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The picture shows interference colors in a thin film of oxidized oil on water