About

Welcome to KindiakMath! Here, I share some contemplations and reflections, either mathematical or about mathematics in general. Much of my writing has been devoted to theory—a rigorous check that what I teach is mathematically legitimate.

\displaystyle \hat f(\xi) = \frac 1{2\pi} \int_{-\infty}^{\infty} f(x)e^{-i x \xi}\, \mathrm dx

Free free to navigate across various posts in the various categories that I’ve written. These fall under the Theory sub-category or the Exercises sub-category. In the former, I muse about new perspectives about common topics in high school and undergraduate math. In the latter, I work out several challenging questions related to the subject. Both have their place and usually spurs each other on.

Here’s the list of topics that I recommend for various levels of study.

Pre-University

  1. O-Level Math
  2. A-Level Math
  3. Differential Equations

Foundational Math

  1. Discrete Math
  2. Calculus
  3. Linear Algebra

Theoretical Analysis

  1. Real Analysis
  2. Topology
  3. Probability

Applied Math

  1. Complex Analysis
  2. Theology

Blessings,
Joel Kindiak