Downloadable Popular Textbooks

Everyone has the ability to learn mathematics and do proofs; the only question is how do you go about it? You can spend many hours studying the material and still not understand it enough to do the homework, you can understand many proofs and still not write your own. Its not just a matter of time and effort, it is also a matter of learning how to learn mathematics. Remember unless you are a super-genius there are no shortcuts to learning math or doing proofs, it requires a lot of work but it will pay off in the end.

The ultimate test of any study technique is not how well you understand the concept or problem, rather how well you can solve problems and prove theorems within your subject, without help. Understanding a concept (unit circle, groups, derivatives, etc) is different from applying a concept (solving problems). Understanding the concepts is subjective applying the concepts is objective. Neither mere understanding or mere knowledge of application is sufficient; rather, the goal is to think and solve problems like a good mathematician or physicist.

The younger that people start applying the ideas outlined in this website, the easier it will be to learn and apply abstract concepts as an adult. The younger you start the better.

Someone can explain to you the solution to a problem or the proof to a theorem, but unless you derive the solution or proof for yourself, you will not develop the reasoning helpful in solving future problems or proving future theorems. The goal is to understand how you could have derived the solution or proof yourself.

One of the problems I see in many students is the desire to be taught by a super-teacher, or to attend a super-school. They think that if they simply attend the lectures of this super-teacher, or simply attend this super-school they will be transformed into super-students. I once heard someone say, any business that requires super-men to run it, is not a good business. I think this is wholly applicable to students; any student that requires a super-teacher or super-school to learn is not a good student. A teacher cannot make you study when you should, nor can a teacher make you follow good study habits. The difference between good students and poor students is not wholly dependent upon the teacher; it also depends upon how much each student demands from him or herself. Granted, some students may not know what to demand from themselves or how to reach what they demand for, that is why I created this website.

The end purpose of this website is to outline a system of study and thought. The power of a system is twofold first, it provides a path to a goal, and second, it is portable. By portable, I mean that one does not necessarily need the guidance of the person who wrote the system to understand and implement it. I would add one proviso to my system namely; always try to find ways to improve the system.

If you would like to refer this website

Quote

Quote

How to write proofs how to do proofs solution of homework of royden solving proofs abstract algebra dummit self study tutorial best calculus books learn physics solve physics problems complex variables and applications homework solution george polya how to solve it classic how do you do proofs how to solve proofs best physics books how to think mathematically how to write math proofs how to write mathematics proofs do physics real analysis notation royden royden homework royden homework solutions real analysis royden real analysis homework solutions increase your IQ how to increase your IQ increase your intelligence raise your IQ how to learn physics get into mensa genius IQ

Web Template provided by Hoover Web Design.