denny Study & Teaching books

Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. Arthur C. Clarke's soft-spoken style sets the "common man" at ease, and his pinpoint commentary makes the concept of fractals easy to understand. One need not be a stellar mathematician to grasp the concepts and why they are profound. The experts are trotted out, and they, too, explain fractal geometry in ways that are accessible to everyman. Fractals are part of our lives, and maths informs everything that exists, whether natural or man-made. When I saw this on TV several years ago, it reminded me of the Douglas Adams (of "Hitchhiker's Guide" fame) book "Dirk Gently's Holistic Detective Agency." In the novel, a software engineer tries to create a program that sets the flapping of a bird's wings to music using mathematical equations. That is exactly what fractals seem to do; they describe events in nature in mathematical ways, and the section of "Colors" which discusses this is eye-opening. All credits go to the owner(s) of the original video and to the website that it was downloaded from (Google). There is no ...

thedropsquad.com Dr. John Henrik Clarke was born January 1, 1915 in Union Springs, Alabama and died July 16, 1998 in New York City. His family came from a long line of sharecroppers. Clarke noticed that although many bible stories "unfolded in Africa...I saw no African people in the printed and illustrated Sunday school lessons," he wrote in 1985. "I began to suspect at this early age that someone had distorted the image of my people. My long search for the true history of African people the world over began." That search took him to libraries, museums, attics, archives and collections in Asia, the Caribbean, Europe, Latin America and Africa. What he found was that the history of black people is worldwide; that "the first light of human consciousness and the world's first civilizations were in Africa"; that the so called Dark Ages were dark only for Europe and that some African nations at the time were larger than any in Europe; that as Africa sends its children to Europe to study because that is where the best universities are, early Greece once sent its children to Africa to study because that was where the best universities were; and that slavery, although devastating was neither the beginning nor the end of Black people's impact on the world. Clarke gathered his findings into books on such figures as the early 20th century mass movement leader Marcus Garvey, into articles with titles like "Africa in the Conquest of Spain" and "Harlem as mecca and New Jerusalem," and ...