First, make sure to read the preface of the book in question. More often than not, the author has stated the goals of his development, and how his goals and development differ from the others that are out there. The author sometimes recommends how the book should be used, and what chapters should be read, and what supplementary material may be skipped at first reading. In addition, some authors express their success in introducing their own students to these ideas. This encouragement can help you when you get stuck.
Most textbooks at the high school level presented no problems in reading once, and for the most part it all stuck. At the lower undergrad level, I usually read once, but started having some problems. At upper undergraduate and some graduate level, I usually only read once, but I really started to have trouble.
Now in trying graduate quantum and relativity, I usually end up reading the chapters of the textbook as many as 3 or 4 times. I usually start from the beginning. If I seem to miss a point, but I think it is subsidiary to the development, I go on for a little while. In a book like Shankar QM, or Carroll Relativity or Topics in Algebra, by Herstein, I usually end up having go go back and try to understand the earlier material. In all cases, I try to do a good selection of problems in the textbook, and notes. In general, do not be afraid to revisit the earlier material. If you are reading and are not in a course, I know in my case, even years later, material that did not make sense at the time can suddenly start to make sense.
jamalkoiyess said:
- The book gets too technical for me to understand, or mentions something I do not know.
- The book goes on for too long and gets boring after the introductory chapters.
- The author dwells too much on trivial explanations and the whole book starts feeling like a waste of time
Bullet point 1: Of course, the book mentions something you do not know. Otherwise why read the book? If the book is too technical, you can try a development that is more applied. In for example, In reading Carroll's book Spacetime and Gravitation, I sometimes read Hartle's book or Schutz's book to try to get a handle on material. Instead of Shankar, QM I might review sections in a elementary quantum mechanics book like Eisberg/ Resnick, or Gasiorowicz, etc.
Bullet point 2 and 3 : The book does not get boring. You mean it bores you. To get any further, you are going have to motivate yourself to go on, or you will have to find another textbook, possibly to return to it later. Sometimes, in reading a section in Carroll, I have gone back to an earlier chapter to reread material, and exclaimed, " Now I see what he was getting at"
By the way, it is also not just textbook material, that requires rereading. One time I was reading a 25 page description of a technical product. I was fortunate enough to have an organization that valued expertise over many other values. They let me read it over and over again. After maybe 3, weeks reading the same 25 pages, I found I had a comprehensive understanding of the product, how it worked and could develop simulation models, and supervise and teach others into it's use. Many co-workers including my boss had access to the material and quit in a day or two, and it just did not register with them. When my boss found out that I knew so much about the product, he modified my work assignment to make me the subject matter expert.
Moral of the story: Never be afraid to reread technical material, and take your time