دانلود کتاب Problems for Mathematicians, Young and Old (Dolciani Mathematical Expositions)
by P. R. Halmos
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عنوان فارسی: مشکلات برای ریاضیدانان، پیر و جوان (Dolciani ریاضی نمایشگاه) |
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Not only are the problems in this book very interesting to work on, they also illustrate key points in algebra, calculus, set theory, etc. I would say that successfully completing the problems in this book would give you mathematical expertise comparable to that of a first year math graduate student.
When people ask me for math book recommendations, this is the book I suggest. Everyone I've suggested this book to has liked it.
For reference, I have a PhD in EECS (I minored in math) and have taught engineering for the past 12 years.