Problem Solving Strategies Engel

For a few more words and many additional examples see a separate file.

Problem Solving Strategies Engel-38Problem Solving Strategies Engel-66

How an example is being used often depends on the purpose or the formulation.

I therefore distinguish the universal strategies from field specific tactics.

As a young assistant professor I was looking for a desk.

For further explanation, examples and link, check a separate file.

An Inequality with Determinants II $\left(\displaystyle \Delta=\left|\begin \,1 & 1 & 1 & 1\ a & b & c & d\ a^2 & b^2 & c^2 & d^2\ \frac & \frac & \frac & \frac \end\right|\lt \frac\left(\frac \frac \frac \frac\right)\right)$ An Inequality with Determinants III $\left(\displaystyle \left|\begin \,0 & x^2 & y^2 & z^2 & 1\ x^2 & 0 & x^2 y^2 & x^2 z^2 & 1\ y^2 & x^2 y^2 & 0 & y^2 z^2 & 1\ z^2 & x^2 z^2 & y^2 z^2 & 0 & 1\ 1 & 1 & 1 & 1 & 0\end\right|\le \left|\begin \,0 & a^2 & b^2 & c^2 & 1\ a^2 & 0 & a^2 b^2 & a^2 c^2 & 1\ b^2 & a^2 b^2 & 0 & b^2 c^2 & 1\ c^2 & a^2 c^2 & b^2 c^2 & 0 & 1\ 1 & 1 & 1 & 1 & 0\end\right|\right)$ An Inequality with Determinants V $\left(\displaystyle \Delta =\left|\begin \,s & \frac & \frac & \frac\ \frac & s & \frac & \frac\ \frac & \frac & s & \frac\ \frac & \frac & \frac & s\end\right|\ge 0\right)$ An Inequality with Determinants VII $\left(\displaystyle \left|\begin \,0 & a^2 & b^2 & c^2 & 1\ a^2 & 0 & a^2 b^2 & a^2 c^2 & 1\ b^2 & a^2 b^2 & 0 & b^2 c^2 & 1\ c^2 & a^2 c^2 & b^2 c^2 & 0 & 1\ 1 & 1 & 1 & 1 & 0\end\right| \le\frac\prod_(a b)^2\right)$ is an example with a negative connotation.

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