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What is the best way to study this kind fo books ?

  1. Nov 11, 2012 #1
    Hi ,

    I hope that you are all fine ,

    I want to ask a question which I need to know it's answer soon,

    when I study a subject like Abstract algebra or calculus or linear algebra or any subject , after very section or unit or lesson in my , there is lot's of exercises which need lot's of time to solve it !! and some books put very very difficult exercises , for example , some books put important theorems as an exercises and the reader have to get his own proof !! and that is tiring , so , what is better ? we slove all the exercises ? or solve some of them and just look to the others ?! if the better is to solve some of them only , how can I choose the exercise which I need to solve and leave the one which I shoudn't solve ??

    some books do this , artin's book as an example !!

    my greetings
    Maths Lover
  2. jcsd
  3. Nov 11, 2012 #2


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    Staff Emeritus
    Science Advisor
    Gold Member

    I prefer to focus on the theorems and their proofs.

    My approach to exercises is to just solve a few exercises chosen more or less at random until I feel that I know how to solve problems of the type that the section of the book is trying to teach us to solve.
  4. Nov 11, 2012 #3
    In my undergrad, I never really solved any exercises from a textbook. I found it enough to just read the theory and make up my own examples. Eventually, I found out the hard way that my method was not a good one. Now, whenever I read a math book, I (try to) solve all the exercises. Certainly for a thing like abstract algebra, you will want to solve a lot of exercises.
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