For more of these summaries, you can search this blog for “Latest posts on my Blogger blog”, or directly see https://explainingmaths.wordpress.com/?s=%22Latest+posts+on+my+Blogger+blog%22
Here are some links to my most recent posts on my Blogger blog, where I am able to use MathJax.
I’ll periodically post updates on this blog, with links and brief descriptions.
Date | Title and link | Description |
16/3/24 | An introduction to the Weierstrass M-test: Part IV | Differentiation of power series term by term, based on the Weierstrass M-test. |
14/3/24 | An introduction to the Weierstrass M-test: Part III | A look at differentiation of series of functions term by term, based on the Weierstrass M-test. |
11/3/24 | A Cauchy-L’Hôpital-Taylor hybrid theorem | A two-function version of Taylor’s Theorem, from which you can deduce the usual version of Taylor’s Theorem with (Lagrange) remainder. |
18/2/24 | An introduction to the Weierstrass M-test: Part II | Proof of the Weierstrass M-test for series of real-valued functions defined on an interval: convergence and continuity of the resulting function under suitable conditions. |
17/2/24 | An introduction to the Weierstrass M-test: Part I | A preliminary look at series of real-valued functions defined on an interval, hopefully accessible to first-year mathematics undergraduate students. |