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Results tagged with mathematics-education
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user 121665
For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/
93
votes
Accepted
Why isn't integral defined as the area under the graph of function?
Actually, in the following book the Lebesgue integral is defined the way you suggested:
Pugh, C. C. Real mathematical analysis.
Second edition. Undergraduate Texts in Mathematics. Springer, Cham, 2 …
- 28k
11
votes
Which edition of Philosophiae Naturalis Principia Mathematica of Isaac Newton would you reco...
I would recommend this 1999 version by Cohen & Whitman:
The Principia: The Authoritative Translation and Guide: Mathematical Principles of Natural Philosophy
This edition has comments that help you …
- 28k
8
votes
Short papers for undergraduate course on reading scholarly math
A solution of the Hilbert's third problem. The proof requires some knowledge in the linear algebra. In particular students need to know that $\mathbb{R}$ is a linear space over $\mathbb{Q}$. A detaile …
4
votes
Amount of mathematical knowledge required for starting Ph.D. in pure mathematics
American students are generally not ready to start PhD because of mediocre undergraduate education. This is not really a complain about the US education (which I think is great), but because most of t …
- 28k
3
votes
One-step problems in geometry
The Tarski Plank Problem:
Unit disc can be covered by $n$-rectangles $1\times n^{-1}$. Prove that it cannot be covered by a smaller number of such rectangles.
Solutions. Take the unit sphere of the …