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Re: Solutions Manual Advanced Engineering Electromagnetics, 2nd Edition by Constantine A. Balanis

Re: Solutions Manual Advanced Engineering Electromagnetics, 2nd Edition by Constantine A. Balanis
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Philosophy of Mathematics (Stanford Encyclopedia of Philosophy)


First published Tue Sep 25, 2007; substantive revision Tue Sep 26, 2017
If mathematics is regarded as a science, then the philosophy of
mathematics can be regarded as a branch of the philosophy of science,
next to disciplines such as the philosophy of physics and the
philosophy of biology. However, because of its subject matter, the
philosophy of mathematics occupies a special place in the philosophy
of science. Whereas the natural sciences investigate entities that are
located in space and time, it is not at all obvious that this also the
case of the objects that are studied in mathematics. In addition to
that, the methods of investigation of mathematics differ markedly from ....

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Hee Oh: Coming Full Circle | Yale Scientific Magazine


Art by Karen Lin.
On a snowy February evening, thirty undergraduates gather inside a brightly lit classroom on the first floor of Leet Oliver Memorial Hall. At the front of the room is Hee Oh, the Abraham Robinson Professor of Mathematics at Yale, drawing crisp white circles on the board with a brand-new stick of Hagoromo chalk. By the time she turns around, she has traced out three perfect circles, each touching two others at a single point.
Oh studies Apollonian circle packings, which are created by filling the space between three mutually tangent circles with successively smaller tangent circles. As she draws the smaller circles on the board, she talks about her fascination with circle packings, connecting them to centuries-old theorems of Greek geometers and to recent developments in hyperbolic geometry. The students listen with undivided attention, captivated by her every word. ....

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