Recent content by Thinkaholic

When I "restricted the domain of f to the postitve real numbers" instead of differentiating the f(x) I gave at first, I differentiated the square root of x divided by the square root of x-1. That way the domain of the function and its derivative is restricted to the positive real numbers, and...

Edits: Stupid typos I made. Fixed.

Hi! I know all of you might know what I'm about to post, but I just discovered it for myself, and I want to share my enthusiasm. Let and (here, I'll be restricting the domain of f(x) to the positive real numbers.) Here is a graph of the two, with f(x) in blue and F(x) in black: 1st...

Drums and the trumpet. Tried piano but got bored and never got back to it. I want to though.

Do the easier problems first, then when you get the hang of the easy ones, search for harder ones and attempt those. Keep doing more difficult and difficult problems until you have a great grasp on the subject. This works like a charm for me.

Hello. I’m an 8th grader who wants to start a math club open to people who love problem solving. I wouldn’t want it to be a competition club, instead I want it to be a club in which at every meeting, everyone would select a problem (when I say problems I mean the type of problems you’d see on a...

I am talking about hard integrals that sometimes pop up on these forums. I can do high school integrals with ease. I definitely understand the properties of integrals, the different methods, and how most integrals on the tables were derived. Honestly, I don’t even know why I wrote this...

Sorry if this is in the wrong place. Sometimes I do really stupid things on integrals (use a method that gets me nowhere, make a mistake while factoring quickly, etc.) I have always been reluctant on using tables because I always felt stupid using them. I feel like I have to reinvent every...

76 years old is much better than 25 years old. RIP Stephen. He may be dead now, but his legacy and impact on science will live on for as long as there are humans in the Universe!

I’m thinking about getting this monster of a book because I heard it was incredibly awesome and useful, but I have one question. I want to be both a physicist and a mathematician in the future, so can aspiring pure mathematicians learn many useful things from this book, or does this book only...

Hello! I’m teaching myself mathematics and physics, and I’m looking for a clear, rigorous book on combinatorics. The reason being is that past books I’ve read that included some combinatorics were difficult to understand (for example, my first encounter with the subject was in a precalculus...

Thanks for the replies! I don’t rush through textbooks, I still do the problem sets and don’t move on to the next topic until I can get 20 or so problems correct in a row. For example, just this week I’ve been spending a lot of time mastering integration by parts. Also, thank you for the Pearson...

Hi. So I’ve been teaching myself mathematics and physics, and over the past year I’ve been buying various textbooks. I’m currently reading Stewart’s “Calculus” (6th edition), “Elements of Set Theory” by Enderton, and “Number Systems and the Foundations of Analysis” by Mendelson, and I’ve been...

Hello all. I appreciate all of the responses. An update: There is a private college perpetratory school around 30 minutes from me. It is pretty far, but it offers so much. It places students in classes they are ready for. For example, if you are ready for it, you can take calculus in freshman...

Hello. I'm an 8th grader who loves physics and math, and I want to be a theoretical physicist and dabble in cosmology and string theory. I am very passionate, very curious, and I love to learn. However, there is one problem. School. Paradoxical, right? I love to learn, yet I don't like school...