Mathematics: Making the Invisible Visible 2012 (Keith Devlin / Stanford U)

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source: Stanford      Last updated on 2014年9月25日
Often described as the science of patterns, mathematics is arguably humanity's most penetrating mental framework for uncovering the hidden patterns that lie behind everything we see, feel, and experience. Galileo described mathematics as the language in which the laws of the universe are written. Intended to give a broad overview of the field, these five illustrated lectures look at counting and arithmetic, shape and geometry, motion and calculus, and chance and probability, and end with a mind-stretching trip to infinity.

1. General Overview and the Development of Numbers 1:44:17
2. The Golden Ratio & Fibonacci Numbers: Fact versus Fiction 1:43:18
3. The Birth of Algebra 1:44:24
4. Calculus: One of the Most Successful Technologies 1:42:48
5. How Did Human Beings Acquire the Ability to do Math? 1:54:24