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mrpiccmath.weebly.com | ||
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jaydaigle.net
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| | | | | We continue our exploration of what numbers are, and where mathematicians keep finding weird ones. In the first three parts we extended the natural numbers in two ways: algebraically and analytically. Those approaches gave overlapping but distinct sets of numbers. This week we combine them to get the complex numbers, and see some hints of why the complex numbers are so useful-and so frustrating. | |
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njwildberger.com
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| | | | | We are supposed to have a very clear idea about the `laws of logic'. For example, if all men are mortal, and Socrates is a man, then Socrates is mortal. Are there in factsuch things as the "laws of logic"? While we can all agree that certain rules of inference, like the example above, are... | |
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rjlipton.com
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| | | | | Ideas from algebraic geometry and arithmetic complexity Hyman Bass is a professor of both mathematics and mathematics education at the University of Michigan, after a long and storied career at Columbia University. He was one of the first generation of mathematicians to investigate K-theory, and gave what is now the recognized definition of the first... | |
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fbeedle.com
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| | | This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science. | ||
