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How to overcome the temptation to read many books covering the same topics[?] Simply by working. I can't tell you how many things I am able to push out of my mind when thinking about the mathematics itself. I have no idea what you've been doing with respect to analysis, but over the past few months, you have asked several questions about analysis ...
Yep. If you read one book over another you'll likely miss problems that are covered in only one of those books but not the other. However, if you read one whole book and have a solid understanding of the general theory, it won't be too hard to learn other topics that you missed if needed. How should I overcome such temptations and anxiety? Don't worry ...
Ask a professor or more advanced math student (whose opinion you trust) what book is best on the subject. Find the best book, understand it cover to cover (make sure you understand all pre-requisites first), then advance to a higher level book on that subject (if so desired).
My first suggestion is that you should get used to using mathematics you don't fully understand. I know it seems contradictory, given that you are asking how to learn and not how to use, but there are reasons for doing this. Even mathematicians don't understand perfectly every aspect of the mathematics they are using. Although some may understand the ...
There are different resources for reading on game theory 1) There are online lectures: Game theory 101 which is fairly popular. 2) There is a book: Non Cooperative Game Theory by Tamer Basar, which covers the topic like a subject. 3) There is a nice blog called : www.mindyourdecisions.com Overall to start with you should study the following: 1) Normal ...
The Oxford University Maths department seem to have their full set of lecture notes with example sheets on here: https://www0.maths.ox.ac.uk/courses/material/
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