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Teach Yourself GCSE Maths in a Day - Video 1 of 4 - Number - Foundation C Grade GCSE Maths Skills
I struggled for years trying various approaches to remedial math and for me Aleks was revolutionary, nothing I tried even came close to how much better it is than anything else I have tried. What is Mathematics Really? So rather than giving a lecture then letting you go do separate labs where you would need to rely on human support, with aleks the system itself is phenomenal at giving you all the instruction you need in a highly interactive format all within your browser. There has never been another mathematical life story like it: He combined a playful and clear approach to his subject with a well-developed taste for what was mathematically significant. You choose the concepts that interest you, but you don't get to choose how they behave. DNA and computers get extensive treatment too. Two are by Martin Gardner, and many of the great writers of SF are represented: Games of Life by Karl Sigmund Biologists' understanding of many vital features of the living world, such as sex and survival, depends on the theory of evolution. It allows them to appreciate where mathematics came from, who created it, what it's good for, and where it's going, without getting tangled up in the technicalities. Between them, these tales cover most of the undergraduate mathematics syllabus, though not in examinable form. The common working philosophy of most mathematicians is a kind of vague Platonism:
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You choose the concepts that interest you, but you don't get to choose how they behave. Nature has laws, and they can be expressed in the language of mathematics. Then he shuffles the cards again, and mails half of them to the magician—not saying whether the chosen card is included.
What is Mathematics Really? Its history reveals the subject as a human activity and gives a feel for the broad flow of ideas over the centuries. The book consists of numerous selections from his columns, classified according to the mathematical area involved.