Here you sit, an undergraduate with a calculus book open before you, or a pre-thesis graduate student with one of those books whose first ten pages, at least, you would like to master, or a research mathematician (established or would-be) with an article fresh off the press—what do you do now? How do you study, how do you penetrate the darkness, how do you learn something?
All I can tell you for sure is what I do, but I do suspect that the same sort of thing works for everyone.
It's been said before and often, but it cannot be overemphasized: study actively. Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?
— Paul Halmos, “I Want to Be a Mathematician”, Study.
Some books simply built around this protocol, some are making it “easier” so they’re more popular and sell more.
“You cannot read mathematics the way you read a novel.
If you zip through a
page in less than an hour, you are probably going too fast.
When you encounter
the phrase “as you should verify”, you should indeed do the verification, which
will usually require some writing on your part.
When steps are left out, you need
to supply the missing pieces.
You should ponder and internalize each definition.
For each theorem, you should seek examples to show why each hypothesis is necessary.”
It is a math studying book, not a let me chew it for you before you take it in type of a book. It requires effort, focus and missing steps are missing on purpose so you will discover them. This is the fun about studying mathematics.
Sorry you fell that way, but the book in my opinion is a masterpiece in math composition.
A. Disable the Gemini suggestions if you don’t want it (I did so).
B. If one’s using a free mail service for 16 years, and then came to not liking its recent development, in which world shitting on it in public is the right and necessary thing to do?
C. In which world someone switching mail provider is a top front page news item?
D. If the case in B is not free, then this means the OP was heavier user than my teenage daughter. Thus consumed more of it.
The study, which was used by EY consultants in Canada to market their cyber security business, used made-up data, misattributed citations and referenced a McKinsey report that doesn't exist.