This book is written in 1939. It's available here on archive.org.
Would you recommend this as an introduction to the mathematics of statistics for beginners?
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I wouldn't. The word "likelihood" appears only two times in the whole book (both volumes). Also, the anti-Bayesian criticisms are definitely dated. As my first book, I would use DeGroot-Schervish.
If you want books on mathematical statistics at a graduate level, try
If you like old books, then I'd recommend Feller's classic text. It has all the math you need, and explains all very clearly.