Recent content by MidgetDwarf

If you have access to a library or even Google (cough pdf cough) I would find Moise Calculus. He has a section as mathwonk stated, starting with a definition for e. If the book is to hard to find (a physical copy is expensive and hard to track down), then look for Stewart calculus. In the 7th...

😆 How much does it differ from his undergraduate analysis book?

I would add Hossein Probability book to the list. After having to review Probability for a graduate course, it offered the best explanations out of the 6 undergrad books I had in my collection.

a^0=1 was defined this way. Nothing more to it.

Yes, you are correct It's a bit annoying trying to write math without LaTek( no access to computer at the moment). Hopefully someone can edit it.

Rule of thumb: If you want to prove that something is continuous, use Epsilon delta definition of limit. If you want to disprove continuity use sequential formulation. Try this for the following. Is the function f defined as f(x) = 1 for x=0 and f(x)=0 for x not equal to 1 continously at...

I think a bachelors in mathematics is sufficient to teach k-12. As long as they did not skip the core classes. Ie., Real Analysis, Groups/Rings,LA to name a few. There are programs that will grant a BS in math without having taken a 2nd semester in analysis/algebra. Or even by pass upper...

Even easier. Open up a book on differential equations. Its definition should be listed there.

I said upper division.

For upper divisions. I like Taylor : Classical Mechanics. For some odd reason, when I was first learning this material, I found Taylor easier than Kleppner and Kolenkow, where KK is supposed to be at a lower level. I worked through KK, but Taylor was easier to digest, and covered more, for me...

I use it rarely, to understand concepts I don't know what the hell the author is talking about. But it is my last attempt , after referencing other books/sources. Ie., when I was first learning Measure Theory, I found the concept of Borel sets confusing. After working on it for a few days. I...

Oh. The edition of Serway I like is the 4th. It doesn't have seizure inducing graphics all over the pages.

I would have a copy of giancoli physics for scientist and engineers , or even Serway Physics for Scientist and Engineers to serve as a reference and or problems to work out. A good physics series for the 1st yr physics is the one by Shankar. The author of the famous quantum mechanics books...

Then I would hold off on learning about quantum mechanics. A better use of your time would be revising what in America what we al Pre-Calculus and reading/working through a typical calculus book. While going through calculus book, you can read/work through an introductory physics book...