University of Kwazulu-Natal

Any Good Books To Learn Number Theory For Olympiad Math

Bonisiwe Shabane
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any good books to learn number theory for olympiad math

Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Connect and share knowledge within a single location that is structured and easy to search. I'm an undergraduate student and I would like to learn olympiad level-number theory.

For what I've read, Number theory: Structures, Examples and Problems is a great book, however, I'm not sure it is a good book to learn the subject. I've skimmed through the first pages and it seems that some of the problems require one to have a little knowledge of number theory, but I'm not completely sure about it. I would like a book that gives you strong background and also I would like that the book doesn't need any abstract algebra knowledge to be read (I have almost zero knowledge of abstract... Once a week, a new video will be released on this page that supports the textbook. Be sure to subscribe to my YouTube channel so you don’t miss any of the updates! Fourth Edition, last posted April 21st, 2025, first two chapters added.

Third Edition published December 18th, 2016. An 120 page introductory Olympiad Number Theory book I wrote for anyone with a passion for number theory and problem solving published on the Art of Problem Solving website. Each section begins by introducing a main concept or idea, and then contains many engaging and challenging problems. My goal for the text was to show how several problem solving skills–experimenting with small cases, simplification, and pattern finding–can be used to tackle a wide variety of Olympiad Number Theory problems. There are five chapters on Divisibility, Modular Arithmetic, p-adic valuation, Diophantine Equations, and Problem Solving Strategies. (3/2/2015) Olympiad Number Theory Through Challenging Problems (pdf)

Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Connect and share knowledge within a single location that is structured and easy to search. I want to start learning olympiad mathematics more seriously, and I would like to have advice on some good books or pdfs to learn with.

I have background but not a big background. For example I know high school geometry (and in general high school mathematics) really well but in olympiad geometry (where creativity is really needed) I am not that good. I can solve a bit of the problems from the national math olympics in my home country but not problems from the IMO (though I can understand the solutions of the easier problems in... Right now I want to focus mainly on geometry and number theory, and maybe some combinatoris. Are there any books that are really recommended for a beginner (not a beginner who starts from absolute scratch, but still a beginner). I heard about the book "Euclidean geometry in mathematical olympiads" written by Evan Chen but I understood that this book is advanced and a beginner should not start from that.

Any good books to begin with in geometry, number theory, and combinatorics (and if you have anything else to recommend on - for example a good Algebra book to begin with when I'll start... If you have any advice on math olympiad in general, or if you think I should learn something else first (for example if you think I should learn algebra before number theory) - please...

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For What I've Read, Number Theory: Structures, Examples And Problems

For what I've read, Number theory: Structures, Examples and Problems is a great book, however, I'm not sure it is a good book to learn the subject. I've skimmed through the first pages and it seems that some of the problems require one to have a little knowledge of number theory, but I'm not completely sure about it. I would like a book that gives you strong background and also I would like that t...

Third Edition Published December 18th, 2016. An 120 Page Introductory

Third Edition published December 18th, 2016. An 120 page introductory Olympiad Number Theory book I wrote for anyone with a passion for number theory and problem solving published on the Art of Problem Solving website. Each section begins by introducing a main concept or idea, and then contains many engaging and challenging problems. My goal for the text was to show how several problem solving ski...

Stack Exchange Network Consists Of 183 Q&A Communities Including Stack

Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Connect and share knowl...

I Have Background But Not A Big Background. For Example

I have background but not a big background. For example I know high school geometry (and in general high school mathematics) really well but in olympiad geometry (where creativity is really needed) I am not that good. I can solve a bit of the problems from the national math olympics in my home country but not problems from the IMO (though I can understand the solutions of the easier problems in......