As children, we explored the world and asked questions. As adults, we sometimes forget how to explore and lead our lives based on predefined solutions.
Tell me and I forget, teach me and I may remember, involve me and I learn.Benjamin Franklin
How do we rekindle our love for lifelong learning?
The answer is simple: Questions & Curiosity.
Regaining that, however, may lie in a space that’s familiar and/or unfamiliar. We can look
Wisdom is not a product of schooling but of the lifelong attempt to acquire it.Alber Einstein
Learn with me about topics relating to what I’m building
I’m a scientist & engineer who spends his time exploring the world by mixing/creating ideas and opportunities.
- Series: Polynomial Expansions, Laurent, and Series ExpansionsSeries In any calculus course, the professor and book will introduce (in a lot of depth) the various types of series, convergence, and […]
- Complex Numbers: The Imaginary NumberThe Imaginary Number Numbers that have real and imaginary parts are complex numbers. They can be expressed in the form where i is where […]
- Section 9.5: AnalysisIn this final section of Chapter 9 Hungerford discusses the Structure of Finite Groups. In the previous sections it has been mentioned that […]
- Section 9.4: AnalysisConjugacy used here in Section 9.4 seems to be at least partially related to normal groups. For normal groups and does not necessarily […]
- Section 9.3: AnalysisThis section is mostly about the Sylow Theorems. While these theorems assist in analyzing nonabelian finite groups Hungerford lacks examples in explaining these […]
- Section 9.2: AnalysisIn this section Hungerford classifies all Finite Abelian Groups. The first section that may cause some confusion is in Theorem 7.9 where he […]
- Section 9.1: AnalysisThus far Direct Products have been mentioned only as a way to use various groups or rings. In this section Hungerford says that […]
- Section 8.5: AnalysisThis section on the Simplicity of doesn’t seem to say a lot unless fully understood. The part easiest to understand is that only […]
- Section 8.4: AnalysisOnce again the parallels between groups and rings is shown here. Possibly one of the most interesting parts of this section is the […]