<p><BR/>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>Thanks for all the help Dr. I'm going to try to start somewhere. I'm not saying I'm going to read all those books at once, but atleast now I know what direction to head in. I'll keep a running tab and if I see the Feynman Lectures on Physics or anything in my library I'll try to undertand it. Your right it will take some work, but I have plenty of free time on my hands; misewell try to learn a little calculus before I go to college. Thanks again, I know a lot of people come and go from this site, but SDC has helped me again and again everytime I find myself in a pickle. You don't go up to your bud in a football game and ask something like "Do you think that the structural inegrity of the steel beams supporting us would weaken if when an electric current is passed through it? Or maybe it would strengthen? So I'm glad there's a place I can go after school, and games, and dances, and hanging out with friends. I'm glad there's a place I can ask these questions that No one else would try to make sense of otherwise. So Thanks Dr. Rocket I really appreciate the help. Hopefully one day I will know enough to give back to the community. <br />Posted by why06</DIV></p><p>You just added a key piece of information. You are in high school.</p><p>The questions that you asked are at the level of an undergraduate physics or engineering student. The texts that I recommended are also at that level. From what you said you will not have the background to read them without a lot of work. But also from the level of questions that you asked you do have the aptitude to learn that material. And if you are in high school you will have the time to do so. All that you really need now is the opportunity.</p><p>Depending on your perspective, and it will change as you learn, you may or may not be able to learn calculus on your own. This has relatively little to do with how smart you are or whether or not you have the capability at some time in the future to handle truely abstract mathematics. It is more just a matter of an individual stage of educational development.</p><p>Calculus, done properly, has a different flavor from the algebra that you see in high school. For most high school algebra the ojbective is to "find the answer" or "solve the equation". Unfortunately that also applies to many high school calculus classes. But the real objective in a calculus should be to understand the basic CONCEPTS that underlie the ideas of the derivative, the integral, and limits of an infinite sequence. Those concepts are often obscured by an over-emphasis on calculating derivatives, calculating integrals and finding the limits of sequences -- "finding the answer" rather than understanding the answer.</p><p>I think it is important to learn calculus from someone who has a deep understanding of the subject. Most often that means someone at a university, a professor or an advanced graduate student. I once had a conversation on this subject with a very senior engineering professor from MIT, and he is of like mind.</p><p>So, if you can teach yourself calculus, then more power to you. But if you find the subject difficult at first, I suggest that you simply wait and learn the subject at a university. You have the time. As a simple experiment, and since you are not worried about a grade, you might want to take a look at Maxwell Rosenlicht's little book "Introduction to Analysis". It is available as an inexpensive Dover paperback, and presents calculus from a somewhat advanced theoretical perspective, but one that actually makes the subject more clear. It won't help to calculate integrals or derivatives, but it will help you to understand what they really are.</p><p>You will also find that the texts that I recommended will take quite a bit of time and effort to master. That is as it should be. There is a way to get some help and to find the time to devote to those subjects -- major in physics or engineering with the appropriate electives.</p><p>And finally, unless the electric current is VERY large (a lightning bolt will do little or no damage) it will have no effect on the steel beams supporting your football stadium. They are made of mild steel to begin with and your stadium is designed to loose tolerances with a very large safety margin. A large part of the load is concentrated in the bolts, and there is a large safety margin there too.<br /></p> <div class="Discussion_UserSignature"> </div>