So you want to study mathematics (susanrigetti.com)

Article summary

The article provides a guide for individuals interested in studying mathematics at an advanced level, offering a roadmap to achieve knowledge equivalent to an undergraduate degree in mathematics. It recommends starting with popular mathematics books and then progressing through a curriculum that covers various subjects, including calculus, linear algebra, and real analysis. The author emphasizes the importance of solving problems and being patient with oneself when studying mathematics. The guide also provides recommendations for textbooks and additional resources to support independent study.

Main themes

• mathematics education
• self-study resources
• textbook recommendations
• learning strategies
• mathematical concepts
• access to educational materials

What commenters say

• Some commenters recommend alternative textbooks and resources for learning mathematics, such as 'Introduction to Analysis' and 'Topology without Tears'.
• Others argue that certain topics, like functional analysis, are essential for a thorough understanding of mathematics, but are not included in the article's guide.
• There is disagreement about the suitability of certain textbooks, like 'D&F', for self-study audiences.
• Commenters share their personal experiences and strategies for learning mathematics, including starting with proof-based learning and using online resources.
• Some express concern about the cost of textbooks and suggest alternative methods, such as borrowing or pirating, to access necessary materials.
• Others discuss the importance of having a structured learning environment, such as a university course, to gauge progress and understanding.
• A few commenters mention the value of learning mathematics through applied problems and real-world examples, rather than solely focusing on theoretical concepts.