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A non-violent anarchist Mathematics teacher and Christian who has views about everything under the sun.

Tag: e

  • Naturally Bounded?

    As mentioned earlier, I am taking a break from publishing new material for a few weeks. During these weeks I am republishing the series on e and the one on π. The post below was originally published on 24 May 2024. Recap In the previous post, I started a series of three posts focused on…

  • What’s Natural About e?

    While I am enjoying the series on counting principles, I need to take a break. Hence, I will be republishing the series on e and the one on π, both which I had first published in 2024. The post below was originally published on 17 May 2024. In the opening post of this blog, I…

  • Last Call on the Whirligig

    Forms of Complex Numbers In the previous post, The Tripartite Fugue, we finally obtained the exponential form for complex numbers. As mentioned in the previous post, we will conclude our series on complex numbers today. Here I wish to explore a couple of aspects of complex numbers that become evident from the exponential form. I…

  • The Tripartite Fugue

    The Tripartite Fugue

    Milestones on the Journey After a three week break, most of which was spent grading IB papers, I am back. We continue with our series on complex numbers. By the time we last dealt with this, in Deriving Derivatives – Part 2, we had obtained the derivatives for a few functions as follows: In the post…

  • Deriving Derivatives – Part 2

    Deriving Derivatives – Part 2

    Signing In In the previous post, Deriving Derivatives – Part 1, which is part of the second pit stop in our exploration of complex numbers, we had derived the derivatives of xn and sin x. I had informed you that we will derive the derivatives of the exponential and logarithmic functions. In case some of you…

  • Anticipating the Exponential Whirligig

    Anticipating the Exponential Whirligig

    Resumption Last week I had taken a break for Good Friday. For those who are interested, I used a random event for my sermon. If you’re interested, you can find it here. Anyway, with the break behind us, we resume the series on complex numbers. In the previous post of the series, Pole Vaunting, we…

  • Return of an Old Friend

    In the last three posts, we have been dealing with some issues related to counting. In Learning to Count, I introduced us to the area of combinatorics and specifically combinatorial arguments. In the second post, Abjuring Double Counting, we looked at the inclusion-exclusion principle that is used to ensure that every element is counted exactly…