These books are a good way to to improve math ability and to prepare for math and programming competitions.
They help to understand math more deeply behind algorithms and methods when studying books and papers.
I liked those books and continuously solving problems from them in free time and keeping several unsolved in my head.
1) Putnam and beyond (Gelca)
2) Problem-solving strategies (Engel)
3) The William Lowell Putnam Mathematical Competition 1985-2000
4) The William Lowell Putnam Mathematical Competition 1965-1984
5) The art and craft of problem solving (zeitz)
Also I liked 2 books to improve spatial imagination:
1) Geometry and the imagination (Hilbert)
2) Visual complex analysis (Needham)
They help to understand math more deeply behind algorithms and methods when studying books and papers.
I liked those books and continuously solving problems from them in free time and keeping several unsolved in my head.
1) Putnam and beyond (Gelca)
2) Problem-solving strategies (Engel)
3) The William Lowell Putnam Mathematical Competition 1985-2000
4) The William Lowell Putnam Mathematical Competition 1965-1984
5) The art and craft of problem solving (zeitz)
Also I liked 2 books to improve spatial imagination:
1) Geometry and the imagination (Hilbert)
2) Visual complex analysis (Needham)
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