The Art of Doing Science and Engineering: Learning to Learn A Book by Richard Hamming www.amazon.com The Art of Doing Science and Engineering is the full expression of what "You and Your Research" outlined. It's a book about thinking; more specifically, a style of thinking by which great ideas are conceived. Gifts of knowledge to humanityHamming-greatnessIt cannot be taught in wordsPreparing for problemsStudent's future, not teacher's past+33 More You and Your ResearchChance favors the prepared mindSerendipity learningscienceengineeringdiscovery
You and Your Research A Speech by Richard Hamming www.cs.virginia.edu This talk centered on Hamming's observations and research on the question "Why do so few scientists make significant contributions and so many are forgotten in the long run?" Important problemsOpen doors, open mindsInverting the problemIntellectual investment is like compound interestGreat people can tolerate ambiguity+2 More The Art of Doing Science and Engineering: Learning to Learn researchdiscoverycreativitylearning
Trees and graphs Show image 0 Show image 1 A tree is a kind of graph, but a graph can be considerably more complex than a tree. I have reason to believe, which for brevity’s sake I will treat elsewhere, that the most complex class of processes and structures we humans can consciously prescribe, reduces mathematically to a tree. A tree has a top, bottom, left and right. Its branches fan out from the trunk and they don’t intersect with one another. They are discrete, contiguous, identifiable objects which persist across time. Trees are Things. Software and websites, however, reduce to arbitrarily more complex structures: they are graphs. A graph has no meaningful orientation whatsoever. No sequence, no obvious start or end—at least none that we can intuit. It is better considered not as one Thing, but as a federation of Things, like the brain or a fungus network, or perhaps a composite artifact left behind from an ongoing process, like an ant colony or human city. Dorian Taylor, On the "Building" of Software and Websites A City Is Not a Tree networksthinkingmath