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In order to improve mathematics in Programming Competition you can solve problems in Project Eular ( Click Here) . You can visit Topcoder , There are some very good tutorials on Math , Number Theory , Combinations , probability .

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I think this is a perfectly valid question. By no means I am a good mathematician/math learner, but here is what I think based on my own experience. Usually, if you doubt whether you have understood something or not, it is quite likely that you did not. For example, will you ever doubt that the solutions of $ax^2 + bx + c=0$ is given by \$\frac{-b\pm \sqrt{b^...

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First of all try to study a thin book NAIVE SET THEORY by P R Halmos. Then try to study TOPICS IN ALGEBRA by Herstin. After that delve into MATHEMATICAL ANALYSIS by Apostol.

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Go to adjectivenounmath.com and start from there. The Teacher is MR. Herb Gross. He is really a awesome teacher and person. The way in which he teaches the concept is really great . I would highly recommend you his lectures. He was MIT Maths Department long back. https://en.wikipedia.org/wiki/Herbert_Gross .

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please be aware that this answers stems from personal experience and is meant more to apply when referring to books such as "calculus year one" or other more generic books that are intended to be large pools of practice problems in early college/high school caclulus/precalculus textbooks. Obviously there are books that are intended to be thouroughly read (...

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Overall answer: no. I struggled with the same problem as you for quite a long time and, in hindsight, I think I could have spent my time more wisely. Here are my current general guidelines at the time of this post. They may or may not work for you. The overall philosophy I employ is that exercises are usually there to get you comfortable with the material: ...

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Mathematics is kind of a subject that is fun as well as scary. I always know the concept and do one or two problems per concept. As solving each & every problem is time consuming and is of no use. My advice is practice all the concepts and theorems, and do two or 3 different types of problems which based on same concept. It helps us to know which ...

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I would suggest you read every problem, and in your head if you can see the direction pretty clearly then no need doing that, generally big texts do have repetition, but concise books meant for only problem solving without any theory do try to make sure each problem is unique. As far as second part of your research goes, I believe your approach gives you ...

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