useful tips to read maths book

HOW TO READ A MATHS BOOK
1. You can’t read a math book the way you read other books. It takes a special approach to read math, not just pass your eyes over it. You may need as long as half an hour to get through one page, but you will understand it when you’re done.

2.What not to Do
Don’t memorize too much
Don’t start with the homework problems. The assigned problems are not “the homework”. They’re the last part of the homework. The first part is reading and understanding today’s section of the textbook.
Don’t be afraid to go back. If you don’t understand something in today’s lesson, perhaps it’s because you didn’t really understand something in an earlier lesson, or you’ve forgotten it. Go back and re-learn that earlier material.
3.What to Do
First skim for an overview. Nobody understands something complex on first reading: about all you can hope to do is get a general sense of what it’s about and perhaps one or two of the main points of the argument.
Then reread with concentration. Read slower this time. Highlight important points for further study.
Go through each step of each example.
Fill in any gaps. Whatever you do, get those problems cleared up before the next class so that they don’t interfere with your understanding that lecture.
Think about what you’ve read.
Make it your own. Can you explain this to someone else? If you can do that, you probably understand it.
Do the homework problems. If you don’t understand how to do one, look back in the book for a similar problem. Don’t just push numbers at it; make sure you understand the example and see how to apply it.