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MathExplorer

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**Summary::**Trying to become a warp drive pioneer. Yes, you read that right, lol.

Hello I’m a math student, and need advice on what pre-requisite math subjects I need to study AND in what order I need to study them in order to achieve my short term math goals. I’m also looking for the appropriate textbooks needed because I’m using the self taught method, and need textbooks that include examples, practice problems, quizzes/tests, etc.

My short term and long term math goals, and my questions about them are as follows:

Short term goals:

I need to bring my math skills to the level that it needs to be so I can have the ability to study the following math subjects:

- Division Algebras
- Jordan Algebras
- Clifford Algebras
- Quaternions
- Octonions

Questions:

- Exactly in what order do I need to be studying these five math subjects?
- What specific pre-requisite math subjects do I need to study AND in what order do I need to study them, so that I can be educationally ready to begin studying the above five math subjects?
- Regarding the list of pre-requisite math subjects that I need to write down, are there any specific textbooks that you guys recommend that include examples, practice problems, quizzes and tests? Note: I’m using the self taught method instead of going to college to learn all or most of the math that I want to learn.

If it helps answer the above questions, here is some information about myself regarding my current math skills, how I developed them, and why I’m interested in the five math subjects that I mentioned:

My learning path:

- I used youtube and google to teach myself basic math
- I attended a technical university to learn pre-algebra. But the way the school was designed, I ended up in a situation where I basically taught myself pre-algebra because the teacher didn’t teach us anything. He only tutored and graded the paperwork.
- I transferred to an online college to study a textbook labeled “elementary and intermediate algebra”. …And once again I found myself in a situation where I was paying lots of money(in student loans) to pay for the privilege of “teaching myself math”.
- By the time I finished the Elementary and Intermediate Algebra class, I came to the conclusion that after experimenting with attending college on campus, and then online, that either way I’m going to have to teach myself math. So if I’m going to have to teach myself, I might as well do it for free, especially since I just successfully went from basic math, all the way to intermediate algebra. So I’m continuing the self taught method for now, and just knocking out as much math as I can for free(saving myself thousands of dollars) until it’s time for me to enroll in a college again to major in physics.

Three years ago I was inspired to get back into college and continue my education, despite finishing welding school back in 2007 and being a welder ever sense. I was inspired by two discoveries. The first discovery was learning about SpaceX and their plans to build fleets of rocket propelled starships that’ll be used for manned exploration missions throughout the solar system.

The second discovery was that I discovered that Warp Drive Theory, a subject I always viewed as nothing more than science fiction, is now an actual scientific theory that is being worked on by scientists around the world. The first warp drive theory scientific paper was published in 1994 by Dr. Miguel Alcubierre, and the work has been continued by other scientists such as Dr. Sonny White of NASA(who now works at Limitless Space Institute in Texas and is in charge of Warp Drive R&D), Dr. Froning, Dr. Musha, and a few others I discovered. They represent humanity’s first generation of FTL(faster than light) propulsion pioneers. So I originally started continuing my education due to breakthroughs in rocket science at SpaceX, but I’m now staying on my path of continuing my education to focus on FTL propulsion research and development. So right now, my main focus is developing the education I need to have the ability to research and develop FTL propulsion theories, mostly Warp Drive Theory, which is actually a thing now and not just a scifi prop on star trek.

I had the privilege of speaking with Dr. Miguel Alcubierre over email, and speaking with Dr. Sonny White of Limited Space Institute and got really good advice on what to study in order to bring myself up to their level, which obviously is going to take years lol. I basically have to fully study General Relativity, and Quantum Mechanics, and I need to educationally prepare myself to be able to study a unification theory that may come out in the near future(that according to Dr. Sonny White, scientists around the world are working on it). This unification theory will bridge the gap between General Relativity and Quantum Mechanics and partially re-write both subjects as well. It’s basically the final piece of the puzzle needed for Warp Drive Theory to mature the point of finally becoming an engineering problem to be solved, and not a physics problem to be solved.

This finally brings me to the five math subjects I’ve mentioned above. Through my own research, whatever unification theory that comes out that’ll help Warp Drive Theory take the next step in R&D is most likely going to use those five kinds of math subjects. There is a debate in the scientific community on whether or not that is even true, but the only way I’m going to find out for myself is to use the scientific method, which is to F around and find out lol.

Sorry for this wall of text but I’ve already brought this subject up in a couple other math forums and they wanted to know why I’m interested in these topics so I decided to lay it out in this first post so we can focus this thread on answering my math questions.

Thanks in advance for any info/advice/textbook recommendations you guys can give me. Using the self taught route will be challenging, yes, but I’ll be saving myself thousands of dollars doing it this way. Plus there are tons of math textbooks I can get online for free or for very little money.

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