How Do I Get Better at Pure Math and Where Do I Start?

TL;DR

A viewer seeks advice on improving math skills transitioning from mechanical engineering, recommended to focus on proof writing.

Transcript

hi in this video i'm going to be reading an email i received from a viewer and answering it and hopefully by answering this question i can help someone else out there as well so i'll read the question in its entirety and then i'll do my best to answer it so this is pretty much unprepared so i'm just reading the question and answering it so i'll do ... Read More

Key Insights

• ❓ Transitioning from engineering to pure math requires a focus on proof writing skills.
• 😫 Recommended online courses on Udemy include logic, set theory, functions, abstract algebra, and advanced calculus.
• 👍 Books like "How to Prove It" and "The Book of Proof" are suggested for enhancing proof writing abilities.
• 🛝 Utilizing a combination of online courses and books can provide a well-rounded math education.
• 📔 Importance of structured learning through courses and in-depth theoretical knowledge from books.
• 📔 Advice to explore resources like Book Finder for affordable options on math books.
• ❓ Emphasizing the value of mastering proof writing as a gateway to more advanced mathematical studies.

Questions & Answers

Q: How can a mechanical engineering graduate transition to focusing on pure math?

By taking online courses on logic, set theory, functions, abstract algebra, and advanced calculus, and reading books on proof writing to improve mathematical skills for pure math.

Q: What are some recommended resources for learning proof writing?

Recommended resources include books like "The Book of Proof," "How to Prove It," "How to Write It," and "A Transition to Advanced Mathematics" to enhance understanding and skill in writing mathematical proofs.

Q: Why are proof writing skills crucial in the study of mathematics?

Proof writing skills are vital as they form the foundation of mathematical understanding and are essential for advancing in subjects like abstract algebra, calculus, and other branches of pure math.

Q: How can online courses like those on Udemy complement self-study with books on proof writing?

Online courses provide structured learning with exercises, while books offer more in-depth theoretical knowledge, combining both can enhance comprehension and application of mathematical concepts effectively.

Summary & Key Takeaways

• A viewer from Ecuador seeks advice on improving math skills to focus on pure math.

• Recommendations include taking specific online courses on logic, set theory, functions, abstract algebra, and advanced calculus.

• Suggested books on proof writing, such as "The Book of Proof" and "How to Prove It," to enhance mathematical skills.