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15.6 MB
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2D2F963BEDEF72E566A9E0DDB7917953BB53A52C
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Oct. 9, 2025, 10:08 a.m.
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(Last updated: Oct. 9, 2025, 10:09 a.m.)
| File | Size |
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| Khurmi A. Modern Olympiad Number Theory 2020.pdf | 15.6 MB |
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SOURCE: Khurmi A. Modern Olympiad Number Theory 2020
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COVER
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MEDIAINFO
Textbook in PDF format Number Theory has been studied and discussed since the dawn of man; be it counting apples or studying Pythagorean triples. It is the heart of mathematics. With time and years of work, people started to unravel new and beautiful properties of these numbers. Despite having developed all the advanced tools today, the Elementary tools are still very powerful. A good understanding of these is required to do almost anything in maths today. Olympiads today aren’t what they were when they started; the problems are much more diverse and harder. One needs a lot of practice and experience to get their hand on these. The best part, however, is that even the hardest of problems have solutions with the simplest of ideas. However, the tree of possible approaches branches out very fast and it is our intuition that leads us through the dark. This book is intended to give a more conceptual approach to the discipline, and each topic is explained in depth and focused more into building a clear map of all the topics: the explanations in this book are done in the way I have understood these topics, and the methods I use to make connections across all areas in Number Theory are presented here. The solved examples are precisely handpicked that depict special ideas and teach you how to think on these problems. The most challenging part was to choose these problems; there are the great classics, and there are problems from today’s Olympiads. Hence, I have tried to keep a balance between the two throughout the book. I have to admit that I did not cover certain topics in Olympiad Number Theory such as irreducibility criterion and functional equations over N, but have largely covered all the other important topics
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