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I am looking for an elementary statistics book, that contains topics such as descriptive statistics, sampling distributions of the mean and variance, etc. However, despite my interest in basic topics, I am looking for a book that teaches it in a high level, for example: when discussing the why the variance includes a squared difference from the mean and not absolute value, I am looking for a mathematical explanation (the problem with the derivative), or, a loss function explanation. In other words, I am looking for an elementary statistics book for mathematicians or statisticians, and not just a textbook. Can you please recommend me of such books, if exist? Thank you.