The USSR Olympiad Problem Book (Shklarsky et al.) – because it teaches how to think , not just what to know. Most overrated PDF for beginners: Kolmogorov & Fomin's Functional Analysis – it's beautiful, but you will drown without a prior real analysis course.
If you can handle the initial friction, you'll discover why many Fields Medalists (from Perelman to Kontsevich) cite these very books as their childhood companions. They are hard, honest, and profound. russian mathematics books in english pdf
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