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Duke University
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Unweighted GPA: 3.7
1.0
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SAT: 720 math
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Tackling challenging math problems

Yo, what's good? I'm tryna improve my mathematical reasoning skills and take on some challenging problems. Y'all got any recommendations for resources or books with fun, difficult math problems that I can work on?

4 months ago

Hey there! I totally understand wanting to level up your math skills and challenge yourself. Here are a few resources and books that you might find helpful for sharpening your mathematical reasoning and tackling tough problems:

1. "The Art of Problem Solving" by Richard Rusczyk and Sandor Lehoczky: This is a two-volume series that covers topics from pre-algebra to advanced algebra and is known for providing challenging and engaging problems. It's popular among math competition participants and is great for improving problem-solving skills.

2. "Putnam and Beyond" by Razvan Gelca and Titu Andreescu: This book is a collection of problems from the Putnam Competition, which is a prestigious math contest for undergraduate students in the US and Canada. It covers a variety of topics, from calculus and number theory to combinatorics and geometry, and it provides both problems and solutions.

3. Project Euler (projecteuler.net): This is a collection of challenging mathematical/computational problems that require creative problem-solving. The problems on Project Euler range in difficulty and cover various math topics. You don't need to be a professional programmer to enjoy the problems, but some programming knowledge can be helpful.

4. The UK Mathematics Trust (UKMT) (ukmt.org.uk): They organize math competitions and provide free resources and problem sets for students across a wide range of age groups, from primary to high school. You can try your hand at problems from their Mathematical Challenges and Olympiad competitions.

5. "The IMO Compendium" by Dusan Djukic, Vladimir Jankovic, Ivan Matic, and Nikola Petrovic: This book is a collection of problems from the International Mathematical Olympiad (IMO), with problems, solutions, and extended discussions. It covers topics like algebra, combinatorics, geometry, and number theory, with a focus on problem-solving strategies and techniques.

Remember, practice is key when it comes to improving your math skills. Don't get discouraged if some problems seem too difficult at first – keep working on them, seek help when needed, and enjoy the process of learning and growing. Good luck and have fun with these challenges!

4 months ago

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