# The Path To Lifelong Learning Begins Here

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 Expansions
Series 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 Number
The 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: Analysis
In 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: Analysis
Conjugacy 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: Analysis
This 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: Analysis
In 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: Analysis
Thus 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: Analysis
This 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: Analysis
Once again the parallels between groups and rings is shown here. Possibly one of the most interesting parts of this section is the …